Number of documents

69

Publications de Boris Kolev


Journal articles40 documents

  • Rodrigue Desmorat, Nicolas Auffray, Boris Desmorat, Boris Kolev, Marc Olive. Generic separating sets for three-dimensional elasticity tensors. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, In press, 475 (2226), pp.20190056. ⟨10.1098/rspa.2019.0056⟩. ⟨hal-01966221v2⟩
  • Rodrigue Desmorat, Boris Desmorat, Marc Olive, Boris Kolev. Micromechanics based framework with second-order damage tensors. European Journal of Mechanics - A/Solids, Elsevier, 2018, 69, pp.88-98. ⟨10.1016/j.euromechsol.2017.11.014⟩. ⟨hal-01529452v3⟩
  • Boris Kolev, Martin Bauer, Martins Bruveris. Fractional Sobolev metrics on spaces of immersed curves. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2018, 57 (1), ⟨10.1007/s00526-018-1300-7⟩. ⟨hal-01486557v2⟩
  • Marc Olive, Boris Kolev, Boris Desmorat, Rodrigue Desmorat. Harmonic factorization and reconstruction of the elasticity tensor. Journal of Elasticity, Springer Verlag, 2018, 132 (1), pp.67-101. ⟨10.1007/s10659-017-9657-y⟩. ⟨hal-01421763⟩
  • Marc Olive, Boris Kolev, Nicolas Auffray. A minimal integrity basis for the elasticity tensor. Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩. ⟨hal-01323543v2⟩
  • Nicolas Auffray, Boris Kolev, Marc Olive. Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes. Mathematics and Mechanics of Solids, SAGE Publications, 2017, 9 (22), pp.1847-1865. ⟨10.1177/1081286516649017⟩. ⟨hal-01303964⟩
  • Boris Kolev. Local well-posedness of the EPDiff equation: a survey. Journal of Geometric Mechanics, 2017, Special issue on infinite-dimensional Riemannian geometry, Part I, 9 (2), pp.167-189. ⟨10.3934/jgm.2017007⟩. ⟨hal-01397112⟩
  • Joachim Escher, David Henry, Boris Kolev, Tony Lyons. Two-component equations modelling water waves with constant vorticity. Annali di Matematica Pura ed Applicata, Springer Verlag, 2016, 195 (1), pp.249-271. ⟨10.1007/s10231-014-0461-z⟩. ⟨hal-01002338v2⟩
  • Martin Bauer, Boris Kolev, Stephen Preston. Geometric investigations of a vorticity model equation. Journal of Differential Equations, Elsevier, 2016, 260 (1), pp.478-516. ⟨10.1016/j.jde.2015.09.030⟩. ⟨hal-01203765⟩
  • Joachim Escher, Martin Bauer, Boris Kolev. Local and Global Well-posedness of the fractional order EPDiff equation on $R^d$. Journal of Differential Equations, Elsevier, 2015, 258 (6), pp.2010-2053. ⟨10.1016/j.jde.2014.11.021⟩. ⟨hal-01111245⟩
  • Joachim Escher, Boris Kolev. Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle. Journal of Evolution Equations, Springer Verlag, 2014, 14 (4-5), pp.949--968. ⟨10.1007/s00028-014-0245-3⟩. ⟨hal-00851606v2⟩
  • Nicolas Auffray, Boris Kolev, Michel Petitot. On anisotropic polynomial relations for the elasticity tensor. Journal of Elasticity, Springer Verlag, 2014, 115 (1), pp.77-103. ⟨10.1007/s10659-013-9448-z⟩. ⟨hal-00827948⟩
  • Joachim Escher, Boris Kolev. Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. Journal of Geometric Mechanics, American Institute of Mathematical Sciences (AIMS), 2014, 6 (3), pp.335-372. ⟨10.3934/jgm.2014.6.335⟩. ⟨hal-00673137v4⟩
  • Vincent Guedj, Boris Kolev, Nader Yeganefar. Kähler-Einstein fillings. J. London Math. Soc., 2013, 88 (3), pp.737-760. ⟨10.1112/jlms/jdt031⟩. ⟨hal-00643594⟩
  • Vincent Guedj, Boris Kolev, Nader Yeganefar. A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds. Analysis & PDE, Mathematical Sciences Publishers, 2013, 6 (5), pp.1001-1012. ⟨10.2140/apde.2013.6.1001⟩. ⟨hal-00643603⟩
  • Boris Kolev, Joachim Escher. Geometrical Methods for Equations of Hydrodynamical Type. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2012, 19 (supp01), 1240013 [18 p.]. ⟨10.1142/S140292511240013X⟩. ⟨hal-00759798⟩
  • Joachim Escher, Boris Kolev, Marcus Wunsch. The geometry of a vorticity model equation. Communications on Pure and Applied Mathematics, Wiley, 2012, 11 (4), pp.1407 - 1419. ⟨10.3934/cpaa.2012.11.1407⟩. ⟨hal-00528726⟩
  • Joachim Escher, Boris Kolev. The Degasperis-Procesi equation as a non-metric Euler equation. Mathematische Zeitschrift, Springer, 2011, 269 (3), pp 1137-1153. ⟨10.1007/s00209-010-0778-2⟩. ⟨hal-00409022⟩
  • Boris Kolev, Joachim Escher, Rossen Ivanov. Euler equations on a semi-direct product of the diffeomorphisms group by itself. Journal of Geometric Mechanics, American Institute of Mathematical Sciences (AIMS), 2011, 3 (3), pp.313 - 322. ⟨10.3934/jgm.2011.3.313⟩. ⟨hal-00642934⟩
  • Boris Kolev. Some geometric investigations on the Degasperis-Procesi shallow water equation. Wave Motion, Elsevier, 2009, 46, pp.412-419. ⟨10.1016/j.wavemoti.2009.06.005⟩. ⟨hal-00418525⟩
  • Boris Kolev. Geometric Differences between the Burgers and the Camassa-Holm Equations. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2008, 15 (Supplement 2), pp.116 - 132. ⟨10.2991/jnmp.2008.15.s2.9⟩. ⟨hal-00315951⟩
  • Boris Kolev. Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations. Philosophical Transactions. Series A, Mathematical, Physical and Engineering Sciences, 2007, 365 (1858), pp. 2333-2357. ⟨10.1098/rsta.2007.2012⟩. ⟨hal-00102390⟩
  • Boris Kolev, Thomas Kappeler, Adrian Constantin, Peter Topalov. On geodesic exponential maps of the Virasoro group. Annals of Global Analysis and Geometry, Springer Verlag, 2007, 31 (2), p. : 155--180. ⟨10.1007/s10455-006-9042-8⟩. ⟨hal-00130915⟩
  • Boris Kolev. Poisson brackets in Hydrodynamics. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2007, 19 (3), pp. 555--574. ⟨hal-00186392v2⟩
  • Adrian Constantin, Boris Kolev. Integrability of invariant metrics on the diffeomorphism group of the circle. Journal of Nonlinear Science, Springer Verlag, 2006, 16, pp.109-122. ⟨10.1007/s00332-005-0707-4⟩. ⟨hal-00095916⟩
  • Boris Kolev, Adrian Constantin, Jonatan Lenells. Integrability of invariant metrics on the Virasoro group. Physics Letters A, Elsevier, 2006, 350 (1-2), pp.75-80. ⟨10.1016/j.physleta.2005.10.011⟩. ⟨hal-00095908⟩
  • Boris Kolev, David Sattinger. Variational Principles for Water Waves. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2006, 38 (3), pp. 906-920. ⟨10.1137/050647220⟩. ⟨hal-00117607⟩
  • Boris Kolev. Sous-groupes compacts d'homeomorphismes de la sphere. L'Enseignement Mathématique, 2006, 52 (3-4), p. 193-214. ⟨hal-00003263⟩
  • Boris Kolev, Adrian Constantin. Hk metrics on the group of diffeomorphisms of the circle. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2003, 10, pp.424-430. ⟨10.2991/jnmp.2003.10.4.1⟩. ⟨hal-00003270⟩
  • Boris Kolev, Adrian Constantin. Geodesic Flow on the Diffeomorphism Group of the circle. Commentarii Mathematici Helvetici, European Mathematical Society, 2003, 78, pp.787-804. ⟨10.1007/s00014-003-0785-6⟩. ⟨hal-00003261⟩
  • Boris Kolev, Adrian Constantin. On the geometric approach to the motion of inertial mechanical systems. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2002, 35, pp.R51-R79. ⟨10.1088/0305-4470/35/32/201⟩. ⟨hal-00003269⟩
  • Boris Kolev, Adrian Constantin. Least action principle for an integrable shallow water equation. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2001, 8 (4), pp.471-474. ⟨10.2991/jnmp.2001.8.4.3⟩. ⟨hal-00003267⟩
  • Boris Kolev, Marie-Christine Pérouème. Recurrent Surface Homeomorphisms. Mathematical Proceedings, Cambridge University Press (CUP), 1998, 124, pp.161-168. ⟨10.1017/S0305004197002272⟩. ⟨hal-00003265⟩
  • Boris Kolev, Christian Bonatti. Surface homeomorphisms with zero dimensional singular set. Topology and its Applications, Elsevier, 1998, 90, pp.69-95. ⟨10.1016/S0166-8641(97)00179-X⟩. ⟨hal-00003264⟩
  • Boris Kolev. Braid types of periodic orbits.. The Nepali Mathematical Sciences Report, 1996, 15, pp.11-21. ⟨hal-00003273⟩
  • Boris Kolev, Adrian Constantin. The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere. L'Enseignement Mathématique (2), 1994, 40, pp.193-204. ⟨hal-00003266⟩
  • Boris Kolev. Periodic orbits of period 3 in the disc. Nonlinearity, IOP Publishing, 1994, 7 (3), pp.1067-1071. ⟨10.1088/0951-7715/7/3/016⟩. ⟨hal-00003272⟩
  • Christian Bonatti, Boris Kolev. Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 1992, 12 (4), pp.677-682. ⟨hal-00003268⟩
  • Boris Kolev. Point fixe lié à une orbite périodique d'un difféomorphisme de R2. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1990, 310 (12), pp.831-833. ⟨hal-00003274⟩
  • Boris Kolev. Entropie topologique et représentation de Burau. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1989, 309, pp.835-838. ⟨hal-00003262⟩

Conference papers19 documents

  • Boris Kolev, Marc Olive, Rodrigue Desmorat, Boris Desmorat, Nicolas Auffray. Invariants et covariants en mécanique du solide. Congrès Français de mécanique, Aug 2019, Brest, France. ⟨hal-02357054⟩
  • Boris Kolev, Marc Olive, Rodrigue Desmorat, Boris Desmorat. Covariants du tenseur d'élasticité et caractérisation polynomiale des classes de symétries. Meeting GeoMeca, Oct 2018, Rennes, France. ⟨hal-01922862⟩
  • Boris Kolev, Nicolas Auffray, Boris Desmorat, Rodrigue Desmorat, Marc Olive, et al.. Invariants and covariants in Solid Mechanics. Symmetry and Computation, Apr 2018, Marseille, France. ⟨hal-01809205⟩
  • Marc Olive, Boris Kolev, Nicolas Auffray. A Minimal Integrity Basis for the Elasticity Tensor. Engineering Mechanics Institute Conference 2018, May 2018, Boston, United States. ⟨hal-01810153⟩
  • Marc Olive, Boris Kolev, Nicolas Auffray. Les invariants du tenseur d'élasticité. 22ème congrès français de Mécanique [CFM2015], 2015, Lyon, France. ⟨hal-01576369⟩
  • Boris Kolev. Geometry of a two-component system modelling water waves with constant vorticity. Water Waves Dynamics, Jun 2015, Vienne, Austria. ⟨hal-01260311⟩
  • Boris Kolev. Local and Global Well-posedness of the fractional order EPDiff equation on $\mathbb{R}^{d}$. Infinite-dimensional Riemannian geometry, Jan 2015, Vienne, Austria. ⟨hal-01260312⟩
  • Boris Kolev, Marc Olive. Moduli spaces in elasticity. Effective moduli spaces and applications to cryptography, Jun 2014, Rennes, France. ⟨hal-01260313⟩
  • Marc Olive, Boris Kolev, Nicolas Auffray. Espace de tenseurs et théorie classique des invariants. 21ème Congrès Français de Mécanique Bordeaux, 2013, Bordeaux, France. pp._. ⟨hal-00827406⟩
  • Boris Kolev. Geometrical Methods for One-Dimensional Models in Hydrodynamics. Nonlinear Analysis of Water Waves, Apr 2013, Cork, Ireland. ⟨hal-01260317⟩
  • Boris Kolev. Geodesic Flows on the Diffeomorphism Group of the Circle. Norwegian Summer School on Analysis and Geometry, Jun 2013, Bergen, Norway. ⟨hal-01260315⟩
  • Boris Kolev, Joachim Escher. Geometrical Methods for Equations of Hydrodynamical Type. Mathflows 2012, Oct 2012, Porquerolles, France. ⟨hal-01260318⟩
  • Boris Kolev. Euler-Poincaré Equations and Geometrical Mechanics. 20th International Conference on Nonlinear Dynamics of Electronic Systems, Jul 2012, Wolfenbuttel, Germany. ⟨hal-01260320⟩
  • Boris Kolev. Recent Results for Equations of Hydrodynamical Type. Mathematical Aspects of Water Waves, Mar 2012, Londres, United Kingdom. ⟨hal-01260321⟩
  • Boris Kolev. On the geometrical structure of certain equations of hydrodynamical type. Workshop on surface water waves, May 2011, Vienne, Austria. ⟨hal-01260322⟩
  • Boris Kolev, Joachim Escher, Martin Kohlmann. Geometric aspects of the periodic $\mu$-DP equation. Nonlinear Parabolic Problems: In honor of Herbert Amann, May 2009, Bedlewo, Poland. pp.193-209. ⟨hal-01268472⟩
  • Boris Kolev. Geometrical Methods for Integrable Systems of Hydrodynamic Type. Hamiltonian Approaches of ITER Physics, Nov 2009, Marseille, France. ⟨hal-01262629⟩
  • Boris Kolev. Lie Groups and mechanics: an introduction. Wave motion, Jan 2004, Oberwolfach, Germany. pp.480-498, ⟨10.2991/jnmp.2004.11.4.5⟩. ⟨hal-00001155v2⟩
  • Boris Kolev. Type de tresse d'orbites périodiques. Séminaire de Théorie Spectrale et Géométrie, 1993, Grenoble, France. pp.73-84. ⟨hal-00003275⟩

Book sections2 documents

  • Boris Kolev, Adrian Constantin. Remarks on the geometry of the diffeomorphism group of the circle. 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⟩. ⟨hal-00657075⟩
  • Boris Kolev. The Riemannian space of Kähler metrics. 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⟩. ⟨hal-00673331⟩

Preprints, Working Papers, ...6 documents

  • Boris Kolev, R. Desmorat. Éléments de géométrie pour la mécanique des milieux continus. 2019. ⟨hal-02343934⟩
  • Martin Bauer, Martins Bruveris, Emanuel Cismas, Joachim Escher, Boris Kolev. Well-posedness of the EPDiff equation with a pseudo-differential inertia operator. 2019. ⟨hal-02352635⟩
  • Martin Bauer, Boris Kolev, Stephen Preston. Geodesic completeness of the $H^{3/2}$ metric on $\mathrm{Diff}(S^{1})$. 2019. ⟨hal-02112529v2⟩
  • Marc Olive, Boris Desmorat, Boris Kolev, Rodrigue Desmorat. Reduced algebraic conditions for plane/axial tensorial symmetries. 2019. ⟨hal-02291487⟩
  • Marc Olive, Boris Kolev, R. Desmorat, Boris Desmorat. Characterization of the symmetry class of an Elasticity tensor using polynomial covariants. 2018. ⟨hal-01845691⟩
  • Nicolas Auffray, Boris Kolev, Michel Petitot. Invariant-based approach to symmetry class detection. 2011. ⟨hal-00638020⟩

Habilitation à diriger des recherches1 document

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

Lectures1 document

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