Boris Kolev

Documents

Publications

	Computation of minimal covariants bases for 2D coupled constitutive laws Boris Desmorat , Marc Olive , Nicolas Auffray , Rodrigue Desmorat , Boris Kolev International Journal of Engineering Science, 2023, 191, pp.103880. ⟨10.1016/j.ijengsci.2023.103880⟩ Article dans une revue hal-02888267v2
	Distance to a constitutive tensor isotropy stratum by Lasserre polynomial optimization method Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac Mathematics and Mechanics of Complex Systems, In press, 11 (3), pp.393-428. ⟨10.2140/memocs.2023.11.393⟩ Article dans une revue hal-03718818v1
	Modeling of the morphic effect using a vanishing 2nd order magneto-elastic energy J. Taurines , Boris Kolev , Rodrigue Desmorat , Olivier Hubert Journal of Magnetism and Magnetic Materials, 2023, pp.170471. ⟨10.1016/j.jmmm.2023.170471⟩ Article dans une revue hal-03973903v1
	Souriau's Relativistic general covariant formulation of hyperelasticity revisited Boris Kolev , Rodrigue Desmorat Journal of the Mechanics and Physics of Solids, inPress, pp.105463. ⟨10.1016/j.jmps.2023.105463⟩ Article dans une revue hal-03861444v2
	Reduced polynomial invariant integrity basis for in-plane magneto-mechanical loading Julien Taurines , Boris Kolev , Rodrigue Desmorat , Olivier Hubert Journal of Magnetism and Magnetic Materials, inPress, pp.170849. ⟨10.1016/j.jmmm.2023.170849⟩ Article dans une revue hal-03519889v1
	The distance to cubic symmetry class as a polynomial optimization problem Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac Journal of Elasticity, inPress, ⟨10.1007/s10659-023-10041-w⟩ Article dans une revue hal-03620262v1
	Minimal functional bases for elasticity tensor symmetry classes Rodrigue Desmorat , N Auffray , B Desmorat , M Olive , Boris Kolev Journal of Elasticity, 2022, ⟨10.1007/s10659-021-09872-2⟩ Article dans une revue hal-03241501v2
	Distance to plane elasticity orthotropy by Euler-Lagrange method Adrien Antonelli , Boris Desmorat , Boris Kolev , Rodrigue Desmorat Comptes Rendus. Mécanique, 2022, 350, pp.413--430. ⟨10.5802/crmeca.122⟩ Article dans une revue hal-03308899v2
	An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints Boris Kolev , Rodrigue Desmorat Journal of Elasticity, 2021, 146 (1), pp.29--63. ⟨10.1007/s10659-021-09853-5⟩ Article dans une revue hal-03168412v2
	Integrity bases for cubic nonlinear magnetostriction Julien Taurines , Marc Olive , Rodrigue Desmorat , O Hubert , Boris Kolev Journal of Magnetism and Magnetic Materials, 2021, ⟨10.1016/j.jmmm.2021.167885⟩ Article dans une revue hal-03051787v1
	Characterization of the symmetry class of an Elasticity tensor using polynomial covariants Marc Olive , Boris Kolev , R. Desmorat , Boris Desmorat Mathematics and Mechanics of Solids, 2021, ⟨10.1177/10812865211010885⟩ Article dans une revue hal-01845691v4
	Continuous anisotropic damage as a twin modelling of discrete bi-dimensional fracture C Oliver-Leblond , Boris Kolev , Rodrigue Desmorat European Journal of Mechanics - A/Solids, 2021, 89, pp.104285. ⟨10.1016/j.euromechsol.2021.104285⟩ Article dans une revue hal-03004855v2
	Recovering the normal form of an elasticity tensor Sophie Abramian , Boris Desmorat , Rodrigue Desmorat , Boris Kolev , Marc Olive Journal of Elasticity, 2020, 142 (1), pp.1-33. ⟨10.1007/s10659-020-09784-7⟩ Article dans une revue hal-02410330v2
	Well-posedness of the EPDiff equation with a pseudo-differential inertia operator Martin Bauer , Martins Bruveris , Emanuel Cismas , Joachim Escher , Boris Kolev Journal of Differential Equations, 2020, 269 (1), pp.288-325. ⟨10.1016/j.jde.2019.12.008⟩ Article dans une revue hal-02352635v1
	On the Determination of Plane and Axial Symmetries in Linear Elasticity and Piezo-Electricity Marc Olive , Boris Desmorat , Boris Kolev , Rodrigue Desmorat Journal of Elasticity, 2020, 141 (1), pp.147-163. ⟨10.1007/s10659-020-09778-5⟩ Article dans une revue hal-02516951v2
	Geodesic completeness of the $H^{3/2}$ metric on $\mathrm{Diff}(S^{1})$ Martin Bauer , Boris Kolev , Stephen C. Preston Monatshefte für Mathematik, 2020, 193 (2), pp.233 - 245. ⟨10.1007/s00605-020-01405-8⟩ Article dans une revue hal-02112529v3
	Reduced algebraic conditions for plane or axial tensorial symmetries Marc Olive , Boris Desmorat , Boris Kolev , Rodrigue Desmorat Mathematics and Mechanics of Solids, 2020, 25 (12), pp.2155-2177. ⟨10.1177/1081286520920691⟩ Article dans une revue hal-02291487v3
	Generic separating sets for three-dimensional elasticity tensors Rodrigue Desmorat , Nicolas Auffray , Boris Desmorat , Boris Kolev , Marc Olive Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019, 475 (2226), pp.20190056. ⟨10.1098/rspa.2019.0056⟩ Article dans une revue hal-01966221v2
	Micromechanics based framework with second-order damage tensors Rodrigue Desmorat , Boris Desmorat , Marc Olive , Boris Kolev European Journal of Mechanics - A/Solids, 2018, 69, pp.88-98. ⟨10.1016/j.euromechsol.2017.11.014⟩ Article dans une revue hal-01529452v3
	Harmonic factorization and reconstruction of the elasticity tensor Marc Olive , Boris Kolev , Boris Desmorat , Rodrigue Desmorat Journal of Elasticity, 2018, 132 (1), pp.67-101. ⟨10.1007/s10659-017-9657-y⟩ Article dans une revue hal-01421763v1
	Fractional Sobolev metrics on spaces of immersed curves Boris Kolev , Martin Bauer , Martins Bruveris Calculus of Variations and Partial Differential Equations, 2018, 57 (27), ⟨10.1007/s00526-018-1300-7⟩ Article dans une revue hal-01486557v2
	A minimal integrity basis for the elasticity tensor Marc Olive , Boris Kolev , Nicolas Auffray Archive for Rational Mechanics and Analysis, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩ Article dans une revue hal-01323543v2
	Local well-posedness of the EPDiff equation: a survey Boris Kolev Journal of Geometric Mechanics, 2017, Special issue on infinite-dimensional Riemannian geometry, Part I, 9 (2), pp.167-189. ⟨10.3934/jgm.2017007⟩ Article dans une revue hal-01397112v1
	Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes Nicolas Auffray , Boris Kolev , Marc Olive Mathematics and Mechanics of Solids, 2017, 9 (22), pp.1847-1865. ⟨10.1177/1081286516649017⟩ Article dans une revue hal-01303964v1
	Geometric investigations of a vorticity model equation Martin Bauer , Boris Kolev , Stephen C. Preston Journal of Differential Equations, 2016, 260 (1), pp.478-516. ⟨10.1016/j.jde.2015.09.030⟩ Article dans une revue hal-01203765v1
	Two-component equations modelling water waves with constant vorticity Joachim Escher , David Henry , Boris Kolev , Tony Lyons Annali di Matematica Pura ed Applicata, 2016, 195 (1), pp.249-271. ⟨10.1007/s10231-014-0461-z⟩ Article dans une revue hal-01002338v2
	Local and Global Well-posedness of the fractional order EPDiff equation on $R^d$ Joachim Escher , Martin Bauer , Boris Kolev Journal of Differential Equations, 2015, 258 (6), pp.2010-2053. ⟨10.1016/j.jde.2014.11.021⟩ Article dans une revue hal-01111245v1
	On anisotropic polynomial relations for the elasticity tensor Nicolas Auffray , Boris Kolev , Michel Petitot Journal of Elasticity, 2014, 115 (1), pp.77-103. ⟨10.1007/s10659-013-9448-z⟩ Article dans une revue hal-00827948v1
	Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle Joachim Escher , Boris Kolev Journal of Evolution Equations, 2014, 14 (4-5), pp.949--968. ⟨10.1007/s00028-014-0245-3⟩ Article dans une revue hal-00851606v2
	Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle Joachim Escher , Boris Kolev Journal of Geometric Mechanics, 2014, 6 (3), pp.335-372. ⟨10.3934/jgm.2014.6.335⟩ Article dans une revue hal-00673137v4
	Kähler-Einstein fillings Vincent Guedj , Boris Kolev , Nader Yeganefar J. London Math. Soc., 2013, 88 (3), pp.737-760. ⟨10.1112/jlms/jdt031⟩ Article dans une revue hal-00643594v1
	A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds Vincent Guedj , Boris Kolev , Nader Yeganefar Analysis & PDE, 2013, 6 (5), pp.1001-1012. ⟨10.2140/apde.2013.6.1001⟩ Article dans une revue hal-00643603v1
	Geometrical Methods for Equations of Hydrodynamical Type Boris Kolev , Joachim Escher Journal of Nonlinear Mathematical Physics, 2012, 19 (supp01), 1240013 [18 p.]. ⟨10.1142/S140292511240013X⟩ Article dans une revue hal-00759798v1
	The geometry of a vorticity model equation Joachim Escher , Boris Kolev , Marcus Wunsch Communications on Pure and Applied Mathematics, 2012, 11 (4), pp.1407 - 1419. ⟨10.3934/cpaa.2012.11.1407⟩ Article dans une revue hal-00528726v1
	Euler equations on a semi-direct product of the diffeomorphisms group by itself Boris Kolev , Joachim Escher , Rossen Ivanov Journal of Geometric Mechanics, 2011, 3 (3), pp.313 - 322. ⟨10.3934/jgm.2011.3.313⟩ Article dans une revue hal-00642934v1
	The Degasperis-Procesi equation as a non-metric Euler equation Joachim Escher , Boris Kolev Mathematische Zeitschrift, 2011, 269 (3), pp 1137-1153. ⟨10.1007/s00209-010-0778-2⟩ Article dans une revue hal-00409022v1
	Some geometric investigations on the Degasperis-Procesi shallow water equation Boris Kolev Wave Motion, 2009, 46, pp.412-419. ⟨10.1016/j.wavemoti.2009.06.005⟩ Article dans une revue hal-00418525v1
	Geometric Differences between the Burgers and the Camassa-Holm Equations Boris Kolev Journal of Nonlinear Mathematical Physics, 2008, 15 (Supplement 2), pp.116 - 132. ⟨10.2991/jnmp.2008.15.s2.9⟩ Article dans une revue hal-00315951v1
	Poisson brackets in Hydrodynamics Boris Kolev Discrete and Continuous Dynamical Systems - Series A, 2007, 19 (3), pp. 555--574 Article dans une revue hal-00186392v2
	Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations Boris Kolev Philosophical Transactions. Series A, Mathematical, Physical and Engineering Sciences, 2007, 365 (1858), pp. 2333-2357. ⟨10.1098/rsta.2007.2012⟩ Article dans une revue hal-00102390v1
	On geodesic exponential maps of the Virasoro group Boris Kolev , Thomas Kappeler , Adrian Constantin , Peter Topalov Annals of Global Analysis and Geometry, 2007, 31 (2), p. : 155--180. ⟨10.1007/s10455-006-9042-8⟩ Article dans une revue hal-00130915v1
	Variational Principles for Water Waves Boris Kolev , David Sattinger SIAM Journal on Mathematical Analysis, 2006, 38 (3), pp. 906-920. ⟨10.1137/050647220⟩ Article dans une revue hal-00117607v1
	Sous-groupes compacts d'homeomorphismes de la sphere Boris Kolev L'Enseignement Mathématique , 2006, 52 (3-4), p. 193-214 Article dans une revue hal-00003263v1
	Integrability of invariant metrics on the diffeomorphism group of the circle Adrian Constantin , Boris Kolev Journal of Nonlinear Science, 2006, 16, pp.109-122. ⟨10.1007/s00332-005-0707-4⟩ Article dans une revue hal-00095916v1
	Integrability of invariant metrics on the Virasoro group Boris Kolev , Adrian Constantin , Jonatan Lenells Physics Letters A, 2006, 350 (1-2), pp.75-80. ⟨10.1016/j.physleta.2005.10.011⟩ Article dans une revue hal-00095908v1
	Hk metrics on the group of diffeomorphisms of the circle Boris Kolev , Adrian Constantin Journal of Nonlinear Mathematical Physics, 2003, 10, pp.424-430. ⟨10.2991/jnmp.2003.10.4.1⟩ Article dans une revue hal-00003270v1
	Geodesic Flow on the Diffeomorphism Group of the circle Boris Kolev , Adrian Constantin Commentarii Mathematici Helvetici, 2003, 78, pp.787-804. ⟨10.1007/s00014-003-0785-6⟩ Article dans une revue hal-00003261v1
	On the geometric approach to the motion of inertial mechanical systems Boris Kolev , Adrian Constantin Journal of Physics A: Mathematical and Theoretical, 2002, 35, pp.R51-R79. ⟨10.1088/0305-4470/35/32/201⟩ Article dans une revue hal-00003269v1
	Least action principle for an integrable shallow water equation Boris Kolev , Adrian Constantin Journal of Nonlinear Mathematical Physics, 2001, 8 (4), pp.471-474. ⟨10.2991/jnmp.2001.8.4.3⟩ Article dans une revue hal-00003267v1
	Surface homeomorphisms with zero dimensional singular set Boris Kolev , Christian Bonatti Topology and its Applications, 1998, 90, pp.69-95. ⟨10.1016/S0166-8641(97)00179-X⟩ Article dans une revue hal-00003264v1
	Recurrent Surface Homeomorphisms Boris Kolev , Marie-Christine Pérouème Mathematical Proceedings of the Cambridge Philosophical Society, 1998, 124, pp.161-168. ⟨10.1017/S0305004197002272⟩ Article dans une revue hal-00003265v1
	Braid types of periodic orbits. Boris Kolev The Nepali Mathematical Sciences Report, 1996, 15, pp.11-21 Article dans une revue hal-00003273v1
	The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere Boris Kolev , Adrian Constantin L'Enseignement Mathématique , 1994, 40, pp.193-204 Article dans une revue hal-00003266v1
	Periodic orbits of period 3 in the disc Boris Kolev Nonlinearity, 1994, 7 (3), pp.1067-1071. ⟨10.1088/0951-7715/7/3/016⟩ Article dans une revue hal-00003272v1
	Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan Christian Bonatti , Boris Kolev Ergodic Theory and Dynamical Systems, 1992, 12 (4), pp.677-682 Article dans une revue hal-00003268v1
	Point fixe lié à une orbite périodique d'un difféomorphisme de R2 Boris Kolev Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1990, 310 (12), pp.831-833 Article dans une revue hal-00003274v1
	Entropie topologique et représentation de Burau Boris Kolev Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1989, 309, pp.835-838 Article dans une revue hal-00003262v1

	Développement d'un modèle magnéto-élastique isotrope avec second ordre évanescent -application au Fe-3%Si Julien Taurines , Boris Kolev , Rodrigue Desmorat , Olivier Hubert Congrès Français de Mécanique, 2022, Nantes, France Communication dans un congrès hal-03772954v1
	Distance aux strates d'isotropie par optimisation polynomiale Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac 25e Congrès Français de Mécanique, Aug 2022, Nantes, France Communication dans un congrès hal-04280037v1
	Modeling of the morphic effect using a 1st-order transitional magneto-elastic energy Julien Taurines , Boris Kolev , Rodrigue Desmorat , Olivier Hubert 25th Soft Magnetic Materials conference 2022, May 2022, Grenoble, France Communication dans un congrès hal-03773047v1
	From discrete to continuum modelling of crack induced anisotropy in concrete Cécile Oliver Oliver-Leblond , Rodrigue Desmorat , Boris Kolev WCCM-ECCOMAS 2020, Jan 2021, Paris, France Communication dans un congrès hal-03229227v1
	Invariants et covariants en mécanique du solide Boris Kolev , Marc Olive , Rodrigue Desmorat , Boris Desmorat , Nicolas Auffray Congrès Français de mécanique, Aug 2019, Brest, France Communication dans un congrès hal-02357054v1
	A Minimal Integrity Basis for the Elasticity Tensor Marc Olive , Boris Kolev , Nicolas Auffray Engineering Mechanics Institute Conference 2018, May 2018, Boston, United States Communication dans un congrès hal-01810153v1
	Invariants and covariants in Solid Mechanics Boris Kolev , Nicolas Auffray , Boris Desmorat , Rodrigue Desmorat , Marc Olive Symmetry and Computation, Apr 2018, Marseille, France Communication dans un congrès hal-01809205v1
	Covariants du tenseur d'élasticité et caractérisation polynomiale des classes de symétries Boris Kolev , Marc Olive , Rodrigue Desmorat , Boris Desmorat Meeting GeoMeca, Oct 2018, Rennes, France Communication dans un congrès hal-01922862v1
	Geometry of a two-component system modelling water waves with constant vorticity Boris Kolev Water Waves Dynamics, Jun 2015, Vienne, Austria Communication dans un congrès hal-01260311v1
	Les invariants du tenseur d'élasticité Marc Olive , Boris Kolev , Nicolas Auffray 22ème congrès français de Mécanique [CFM2015], 2015, Lyon, France Communication dans un congrès hal-01576369v1
	Local and Global Well-posedness of the fractional order EPDiff equation on $\mathbb{R}^{d}$ Boris Kolev Infinite-dimensional Riemannian geometry, Jan 2015, Vienne, Austria Communication dans un congrès hal-01260312v1
	Moduli spaces in elasticity Boris Kolev , Marc Olive Effective moduli spaces and applications to cryptography, Jun 2014, Rennes, France Communication dans un congrès hal-01260313v1
	Geometrical Methods for One-Dimensional Models in Hydrodynamics Boris Kolev Nonlinear Analysis of Water Waves, Apr 2013, Cork, Ireland Communication dans un congrès hal-01260317v1
	Espace de tenseurs et théorie classique des invariants Marc Olive , Boris Kolev , Nicolas Auffray 21ème Congrès Français de Mécanique Bordeaux, 2013, Bordeaux, France. pp._ Communication dans un congrès hal-00827406v1
	Geodesic Flows on the Diffeomorphism Group of the Circle Boris Kolev Norwegian Summer School on Analysis and Geometry, Jun 2013, Bergen, Norway Communication dans un congrès hal-01260315v1
	Geometrical Methods for Equations of Hydrodynamical Type Boris Kolev , Joachim Escher Mathflows 2012, Oct 2012, Porquerolles, France Communication dans un congrès hal-01260318v1
	Euler-Poincaré Equations and Geometrical Mechanics Boris Kolev 20th International Conference on Nonlinear Dynamics of Electronic Systems, Jul 2012, Wolfenbuttel, Germany Communication dans un congrès hal-01260320v1
	Recent Results for Equations of Hydrodynamical Type Boris Kolev Mathematical Aspects of Water Waves, Mar 2012, Londres, United Kingdom Communication dans un congrès hal-01260321v1
	On the geometrical structure of certain equations of hydrodynamical type Boris Kolev Workshop on surface water waves, May 2011, Vienne, Austria Communication dans un congrès hal-01260322v1
	Geometrical Methods for Integrable Systems of Hydrodynamic Type Boris Kolev Hamiltonian Approaches of ITER Physics, Nov 2009, Marseille, France Communication dans un congrès hal-01262629v1
	Geometric aspects of the periodic $\mu$-DP equation Boris Kolev , Joachim Escher , Martin Kohlmann Nonlinear Parabolic Problems: In honor of Herbert Amann, May 2009, Bedlewo, Poland. pp.193-209 Communication dans un congrès hal-01268472v1
	Lie Groups and mechanics: an introduction Boris Kolev Wave motion, Jan 2004, Oberwolfach, Germany. pp.480-498, ⟨10.2991/jnmp.2004.11.4.5⟩ Communication dans un congrès hal-00001155v2
	Type de tresse d'orbites périodiques Boris Kolev Séminaire de Théorie Spectrale et Géométrie, 1993, Grenoble, France. pp.73-84 Communication dans un congrès hal-00003275v1

	Remarks on the geometry of the diffeomorphism group of the circle Boris Kolev , Adrian Constantin Goldfeld, Dorian and Jorgenson, Jay and Jones, Peter and Ramakrishnan, Dinakar and Ribet, Kenneth A. A. and Tate, John. Number theory, Analysis and Geometry, In memory of Serge Lang, Springer New York, pp.143-160, 2012, ⟨10.1007/978-1-4614-1260-1_7⟩ Chapitre d'ouvrage hal-00657075v1
	The Riemannian space of Kähler metrics Boris Kolev Vincent Guedj. Complex Monge-Ampère equations and geodesics in the space of Kähler metrics, 2038, Springer, pp.211-234, 2012, Lecture Notes in Mathematics, 978-3-642-23668-6. ⟨10.1007/978-3-642-23669-3_6⟩ Chapitre d'ouvrage hal-00673331v1

	Rationality of normal forms of isotropy strata of a representation of a compact Lie group Perla Azzi , Rodrigue Desmorat , Julien Grivaux , Boris Kolev 2023 Pré-publication, Document de travail hal-03942236v1
	Upper bounds estimates of the distance to cubic or orthotropic elasticity Rodrigue Desmorat , Boris Kolev 2022 Pré-publication, Document de travail hal-03687523v1
	Objective rates as covariant derivatives on the manifold of Riemannian metrics Boris Kolev , Rodrigue Desmorat 2021 Pré-publication, Document de travail hal-03246478v1
	Éléments de géométrie différentielle à l'usage des mécaniciens Boris Kolev 2020 Pré-publication, Document de travail hal-03330418v1
	Éléments de géométrie pour la mécanique des milieux continus Boris Kolev , R. Desmorat 2019 Pré-publication, Document de travail hal-02343934v2
	Invariant-based approach to symmetry class detection Nicolas Auffray , Boris Kolev , Michel Petitot 2011 Pré-publication, Document de travail hal-00638020v1

	Morphologie des homéomorphismes des surfaces et méthodes géométriques en hydrodynamique Boris Kolev Mathématiques [math]. Université de Provence - Aix-Marseille I, 2006 HDR tel-00096006v2

	Plane Topology and Dynamical Systems Boris Kolev École thématique. Summer School "Systèmes Dynamiques et Topologie en Petites Dimensions", Grenoble, France, 1994, pp.35 Cours cel-00719540v1

Boris Kolev

Publications

Computation of minimal covariants bases for 2D coupled constitutive laws

Distance to a constitutive tensor isotropy stratum by Lasserre polynomial optimization method

Modeling of the morphic effect using a vanishing 2nd order magneto-elastic energy

Souriau's Relativistic general covariant formulation of hyperelasticity revisited

Reduced polynomial invariant integrity basis for in-plane magneto-mechanical loading

The distance to cubic symmetry class as a polynomial optimization problem

Minimal functional bases for elasticity tensor symmetry classes

Distance to plane elasticity orthotropy by Euler-Lagrange method

An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints

Integrity bases for cubic nonlinear magnetostriction

Characterization of the symmetry class of an Elasticity tensor using polynomial covariants

Continuous anisotropic damage as a twin modelling of discrete bi-dimensional fracture

Recovering the normal form of an elasticity tensor

Well-posedness of the EPDiff equation with a pseudo-differential inertia operator

On the Determination of Plane and Axial Symmetries in Linear Elasticity and Piezo-Electricity

Geodesic completeness of the $H^{3/2}$ metric on $\mathrm{Diff}(S^{1})$

Reduced algebraic conditions for plane or axial tensorial symmetries

Generic separating sets for three-dimensional elasticity tensors

Micromechanics based framework with second-order damage tensors

Harmonic factorization and reconstruction of the elasticity tensor

Fractional Sobolev metrics on spaces of immersed curves

A minimal integrity basis for the elasticity tensor

Local well-posedness of the EPDiff equation: a survey

Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes

Geometric investigations of a vorticity model equation

Two-component equations modelling water waves with constant vorticity

Local and Global Well-posedness of the fractional order EPDiff equation on $R^d$

On anisotropic polynomial relations for the elasticity tensor

Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle

Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle

Kähler-Einstein fillings

A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds

Geometrical Methods for Equations of Hydrodynamical Type

The geometry of a vorticity model equation

Euler equations on a semi-direct product of the diffeomorphisms group by itself

The Degasperis-Procesi equation as a non-metric Euler equation

Some geometric investigations on the Degasperis-Procesi shallow water equation

Geometric Differences between the Burgers and the Camassa-Holm Equations

Poisson brackets in Hydrodynamics

Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations

On geodesic exponential maps of the Virasoro group

Variational Principles for Water Waves

Sous-groupes compacts d'homeomorphismes de la sphere

Integrability of invariant metrics on the diffeomorphism group of the circle

Integrability of invariant metrics on the Virasoro group

Hk metrics on the group of diffeomorphisms of the circle

Geodesic Flow on the Diffeomorphism Group of the circle

On the geometric approach to the motion of inertial mechanical systems

Least action principle for an integrable shallow water equation

Surface homeomorphisms with zero dimensional singular set

Recurrent Surface Homeomorphisms

Braid types of periodic orbits.

The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere

Periodic orbits of period 3 in the disc

Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan

Point fixe lié à une orbite périodique d'un difféomorphisme de R2

Entropie topologique et représentation de Burau

Développement d'un modèle magnéto-élastique isotrope avec second ordre évanescent -application au Fe-3%Si

Distance aux strates d'isotropie par optimisation polynomiale

Modeling of the morphic effect using a 1st-order transitional magneto-elastic energy

From discrete to continuum modelling of crack induced anisotropy in concrete

Invariants et covariants en mécanique du solide

A Minimal Integrity Basis for the Elasticity Tensor

Invariants and covariants in Solid Mechanics

Covariants du tenseur d'élasticité et caractérisation polynomiale des classes de symétries

Geometry of a two-component system modelling water waves with constant vorticity

Les invariants du tenseur d'élasticité

Local and Global Well-posedness of the fractional order EPDiff equation on $\mathbb{R}^{d}$

Moduli spaces in elasticity

Geometrical Methods for One-Dimensional Models in Hydrodynamics

Espace de tenseurs et théorie classique des invariants

Geodesic Flows on the Diffeomorphism Group of the Circle

Geometrical Methods for Equations of Hydrodynamical Type

Euler-Poincaré Equations and Geometrical Mechanics

Recent Results for Equations of Hydrodynamical Type

On the geometrical structure of certain equations of hydrodynamical type

Geometrical Methods for Integrable Systems of Hydrodynamic Type

Geometric aspects of the periodic $\mu$-DP equation