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73

Boris Andreianov -- HAL CV


Journal articles44 documents

  • Boris Andreianov, Clément Cancès, Ayman Moussa. A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. Journal of Functional Analysis, Elsevier, 2017, 273 (12), pp.3633-3670. ⟨10.1016/j.jfa.2017.08.010⟩. ⟨hal-01142499⟩
  • Boris Andreianov, Clément Cancès. On interface transmission conditions for conservation laws with discontinuous flux of general shape. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2015, 12 (2), pp.343-384. ⟨10.1142/S0219891615500101⟩. ⟨hal-00940756v2⟩
  • Boris Andreianov, Darko Mitrović. Entropy conditions for scalar conservation laws with discontinuous flux revisited. Ann. IHP Analyse Nonlinéaire, 2015, ⟨10.1016/j.anihpc.2014.08.002⟩. ⟨hal-00978482v2⟩
  • Boris Andreianov, Karima Sbihi. Well-posedness of general boundary-value problems for scalar conservation laws. Transactions AMS, 2015, 367 (6), pp. 3763-3806. ⟨10.1090/S0002-9947-2015-05988-1⟩. ⟨hal-00708973v3⟩
  • Boris Andreianov, Mostafa Bendahmane, Alfio Quarteroni, Ricardo Ruiz Baier. Solvability analysis and numerical approximation of linearized cardiac electromechanics. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2015, 25, pp.959-993. ⟨10.1142/S0218202515500244⟩. ⟨hal-00865585v3⟩
  • Boris Andreianov, Carlotta Donadello, Shyam Sundar Ghoshal, Ulrich Razafison. On the attainable set for a class of triangular systems of conservation laws. Journal of Evolution Equations, Springer Verlag, 2015, 15 (3), pp. 503-532. ⟨10.1007/s00028-014-0267-x⟩. ⟨hal-00967600⟩
  • Boris Andreianov, Clément Cancès. A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media. Computational Geosciences, Springer Verlag, 2014, 18 (2), pp.211-226. ⟨hal-00833522⟩
  • Boris Andreianov, Carlotta Donadello, Massimiliano Rosini. Crowd dynamics and conservation laws with non-local constraints and capacity drop. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (13), pp. 2685-2722. ⟨10.1142/S0218202514500341⟩. ⟨hal-00816449v2⟩
  • Boris Andreianov, Frédéric Lagoutière, Nicolas Seguin, Takéo Takahashi. Well-posedness for a one-dimensional fluid-particle interaction model. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2014, 46 (2). ⟨hal-00789315⟩
  • Boris Andreianov, Konstantin Brenner, Clément Cancès. Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. Journal of Applied Mathematics and Mechanics, Elsevier, 2014, 94 (7-8), pp.651-667. ⟨hal-00744359⟩
  • Boris Andreianov, Mohamed Karimou Gazibo. Entropy formulation of degenerate parabolic equation with zero-flux boundary condition. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Wiley-VCH Verlag, 2013, 164 (5), pp. 1471-1491. ⟨10.1007/s00033-012-0297-6⟩. ⟨hal-00697593v2⟩
  • Boris Andreianov, Clément Cancès. Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium. Computational Geosciences, Springer Verlag, 2013, 17 (3), pp.551-572. ⟨hal-00631584v2⟩
  • Boris Andreianov, Mostafa Bendahmane, Florence Hubert. On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.. Computational Methods in Applied Mathematics, De Gruyter, 2013, 13 (4), pp. 369-410. ⟨10.1515/cmam-2013-0011⟩. ⟨hal-00567342v3⟩
  • Boris Andreianov, Robert Eymard, Mustapha Ghilani, Nouzha Marhraoui. Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Numerical Methods for Partial Differential Equations, Wiley, 2012, 29 (2), pp. 441-474. ⟨10.1002/num.21715⟩. ⟨hal-00606955⟩
  • Boris Andreianov, Mostafa Bendahmane, Florence Hubert, Stella Krell. On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2012, 32 (4), pp.1574-1603. ⟨10.1093/imanum/drr046⟩. ⟨hal-00355212v3⟩
  • Boris Andreianov, Halima Labani. Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems. Communications on Pure and Applied Analysis, AIMS American Institute of Mathematical Sciences, 2012, 11 (6), pp. 2179-2199. ⟨10.3934/cpaa.2012.11.2179⟩. ⟨hal-00522783⟩
  • Boris Andreianov, Noureddine Igbida. On uniqueness techniques for degenerate convection-diffusion problems. International journal of dynamical systems and differential equations, 2012, 4 (1/2), pp. 3-34. ⟨10.1504/IJDSDE.2012.045992⟩. ⟨hal-00553819⟩
  • Boris Andreianov, Clément Cancès. The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. Applied Mathematics Letters, Elsevier, 2012, 25, pp.1844--1848. ⟨hal-00631586v2⟩
  • Boris Andreianov, Nicolas Seguin. Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law]. DCDS-A, 2012, 32 (6), pp. 1939-1964. ⟨10.3934/dcds.2012.32.1939⟩. ⟨hal-00576959⟩
  • Boris Andreianov, Petra Wittbold. Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition. Nonlinear Differential Equations and Applications, Springer Verlag, 2012, 19 (6), pp. 695-717. ⟨10.1007/s00030-011-0148-8⟩. ⟨hal-00608521⟩
  • Boris Andreianov, Mostafa Bendahmane, Mazen Saad. Finite volume methods for degenerate chemotaxis model. Journal of Computational and Applied Mathematics, Elsevier, 2011, 235 (14), pp.4015 - 4031. ⟨10.1016/j.cam.2011.02.023⟩. ⟨hal-01737856⟩
  • Boris Andreianov, Mostafa Bendahmane, Kenneth Hvistendahl Karlsen, Charles Pierre. Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2011, In Press, pp.1-45. ⟨hal-00526047v2⟩
  • Boris Andreianov, Mostafa Bendahmane, Ricardo Ruiz Baier. Analysis of a finite volume method for a cross-diffusion model in population dynamics. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2011, 21 (02), pp.307-344. ⟨10.1142/S0218202511005064⟩. ⟨hal-00458737v2⟩
  • Boris Andreianov, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro. A theory of L^1-dissipative solvers for scalar conservation laws with discontinuous flux. Archive for Rational Mechanics and Analysis, Springer Verlag, 2011, 201 (1), pp.27-86. ⟨10.1007/s00205-010-0389-4⟩. ⟨hal-00475840⟩
  • Boris Andreianov, Paola Goatin, Nicolas Seguin. Finite volume schemes for locally constrained conservation laws. Numerische Mathematik, Springer Verlag, 2010, 115 (4), pp. 609-645. ⟨10.1007/s00211-009-0286-7⟩. ⟨hal-00387806⟩
  • Boris Andreianov, Mostafa Bendahmane, Kenneth Hvistendahl Karlsen. Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2010, 7 (1), pp.1--67. ⟨10.1142/S0219891610002062⟩. ⟨hal-00475752⟩
  • Boris Andreianov, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro. On vanishing viscosity approximation of conservation laws with discontinuous flux.. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2010, 5 (3), pp.617-633. ⟨10.3934/nhm.2010.5.617⟩. ⟨hal-00438203⟩
  • Boris Andreianov, Mohamed Maliki. A note on uniqueness of entropy solutions to degenerate parabolic equations in $\mathbb{R}^N$.. Nonlinear Differential Equations and Applications, Springer Verlag, 2010, 17 (1), pp. 109-118. ⟨10.1007/s00030-009-0042-9⟩. ⟨hal-00378475v2⟩
  • Boris Andreianov, Mostafa Bendahmane, Stanislas Ouaro. Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems.. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2010, 73 (1), pp.2-24. ⟨10.1016/j.na.2010.02.039⟩. ⟨hal-00363284v3⟩
  • Nathael Alibaud, Boris Andreïanov. Non-uniqueness of weak solutions for the fractal Burgers equation. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2010, 27 (4), pp. 997-016. ⟨10.1016/j.anihpc.2010.01.008⟩. ⟨hal-00405892v3⟩
  • Boris Andreianov, Mostafa Bendahmane, Stanislas Ouaro. Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems.. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2010, 72 (12), pp. 4649-4660. ⟨10.1016/j.na.2010.02.044⟩. ⟨hal-00402869⟩
  • Nathael Alibaud, Boris Andreianov, Mostafa Bendahmane. Renormalized solutions of the fractional Laplace equation. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩. ⟨hal-01208279⟩
  • Paola Goatin, Nicolas Seguin, Boris Andreianov. Finite volume schemes for constrained conservation laws. Numerische Mathematik, Springer Verlag, 2010, 115 (4), pp.609-645. ⟨inria-00534872⟩
  • Boris Andreianov, Frédéric Lagoutière, Nicolas Seguin, Takéo Takahashi. Small solids in an inviscid fluid. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2010, 5 (3), pp.385-404. ⟨10.3934/nhm.2010.5.385⟩. ⟨hal-00590617⟩
  • Boris Andreianov, Mostafa Bendahmane, Kenneth Hvistendahl Karlsen, Stanislas Ouaro. Well-posedness results for triply nonlinear degenerate parabolic equations.. Journal of Differential Equations, Elsevier, 2009, 247 (1), pp.277-302. ⟨10.1016/j.jde.2009.03.001⟩. ⟨hal-00475758⟩
  • Boris Andreianov, Karima Sbihi, Petra Wittbold. On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption.. Journal of Evolution Equations, Springer Verlag, 2008, 8 (3), pp.449--490. ⟨10.1007/s00028-008-0365-8⟩. ⟨hal-00475748⟩
  • Boris Andreianov, Karima Sbihi. Scalar conservation laws with nonlinear boundary conditions. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2007, 345 (8), pp.431-434. ⟨10.1016/j.crma.2007.09.008⟩. ⟨hal-00475852⟩
  • Boris Andreianov, Franck Boyer, Florence Hubert. Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes. Numerical Methods for Partial Differential Equations, Wiley, 2007, 23, pp 145-195. ⟨10.1002/num.20170⟩. ⟨hal-00005779v2⟩
  • Boris Andreianov, Noureddine Igbida. Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, Royal Society of Edinburgh, 2007, 136 (6), pp.1119-1133. ⟨10.1017/S0308210505001290⟩. ⟨hal-00475857⟩
  • Boris Andreianov, Franck Boyer, Florence Hubert. On the finite-volume approximation of regular solutions of the $p$-Laplacian. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2006, 26 (3), pp. 472-502. ⟨10.1093/imanum/dri047⟩. ⟨hal-00475905⟩
  • Boris Andreianov, Noureddine Igbida. Revising uniqueness for a nonlinear diffusion-convection equation. Journal of Differential Equations, Elsevier, 2006, 227 (1), pp.69-79. ⟨10.1016/j.jde.2005.09.003⟩. ⟨hal-00475860⟩
  • Boris Andreianov, Franck Boyer, Florence Hubert. Besov regularity and new error estimates for finite volume approximations of the p-laplacian. Numerische Mathematik, Springer Verlag, 2005, 100 no 4, p. 565-592. ⟨10.1007/s00211-005-0591-8⟩. ⟨hal-00004419⟩
  • Boris Andreianov, Franck Boyer, Florence Hubert. Finite volume schemes for the p-laplacian on cartesian meshes. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2004, 38 no 6, pp 931-959. ⟨10.1051/m2an:2004045⟩. ⟨hal-00004088⟩
  • Boris Andreianov, Michaël Gutnic, Petra Wittbold. "Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ""Continuous"" Approach.". SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2003, 42 (1), pp.228-251. ⟨hal-00129680⟩

Conference papers12 documents

  • Boris Andreïanov, Mohamed Karimou Gazibo. Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition. Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. pp. 303-311, ⟨10.1007/978-3-319-05684-5_29⟩. ⟨hal-00950142v2⟩
  • Boris Andreianov. NEW APPROACHES TO DESCRIBING ADMISSIBILITY OF SOLUTIONS OF SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX. CANUM 2014, Mar 2014, Carry-le-Rouet, France. pp.40-65, ⟨10.1051/proc/201550003⟩. ⟨hal-01109040⟩
  • Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano Rosini. Riemann problems with non--local point constraints and capacity drop. Modeling with Measures, Aug 2013, Leiden, Netherlands. pp. 259-278, ⟨10.3934/mbe.2015.12.259⟩. ⟨hal-00959974⟩
  • Boris Andreianov. One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case. HYP2012 conference in Padova, Jun 2012, Padua, Italy. pp. 259-267. ⟨hal-00761664v2⟩
  • Boris Andreianov, Florence Hubert, Stella Krell. Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.937-948, ⟨10.1007/978-3-642-20671-9_91⟩. ⟨hal-00572732⟩
  • Boris Andreianov. Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp. 21-29, ⟨10.1007/978-3-642-20671-9_3⟩. ⟨hal-00561344v2⟩
  • Boris Andreianov, Robert Eymard, Mustapha Ghilani, Nouzha Marhraoui. On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media. Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. pp. 21-34. ⟨hal-00606948v2⟩
  • Boris Andreianov. Dissipative interface coupling of conservation laws. HYP2010 conference in Beijing, Jun 2010, Beijing, China. pp.123-135. ⟨hal-00761662⟩
  • Boris Andreianov, Mostafa Bendahmane, Kenneth Hvistendahl Karlsen. A gradient reconstruction formula for finite volume schemes and discrete duality. Finite volumes for complex applications V, Jun 2008, Aussois, France. pp. 161-168. ⟨hal-00475877⟩
  • Mostafa Bendahmane, Boris Andreianov, Kenneth H. Karlsen. A gradient reconstruction formula for nite volume schemes and discrete duality. Finite volumes for complex applications, 2008, France. pp.161-168. ⟨hal-01015913⟩
  • Boris Andreianov, Franck Boyer, Florence Hubert. Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids. Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. pp.1-10. ⟨hal-00475892⟩
  • Boris Andreianov, Karima Sbihi. Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions. 11th international conference on hyperbolic problems, Jul 2006, Lyon, France. pp.937-945. ⟨hal-00475870⟩

Book sections1 document

  • Boris Andreianov. Semigroup approach to conservation laws with discontinuous flux. G.-Q. Chen, H. Holden and K.H. Karlsen. Springer Proceedings in Mathematics & Statistics Vol.49, 49, Springer, pp. 1-22, 2013, Hyperbolic Conservation Laws and Related Analysis with Applications, 978-3-642-39006-7. ⟨10.1007/978-3-642-39007-4_1⟩. ⟨hal-00698581v2⟩

Preprints, Working Papers, ...16 documents

  • Boris Andreianov, Shyam Sundar Ghoshal, Konstantinos Koumatos. Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws. 2022. ⟨hal-02497181v2⟩
  • Boris Andreianov, Abraham Sylla. Existence analysis and numerical approximation for a second order model of traffic with orderliness marker. 2021. ⟨hal-03214129v3⟩
  • Boris Andreianov, Carlotta Donadello, Massimiliano Rosini. Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow. 2020. ⟨hal-02877276v2⟩
  • Boris Andreianov, Abraham Sylla. A macroscopic model to reproduce self-organization at bottlenecks. 2020. ⟨hal-02526538⟩
  • Boris Andreianov, Massimiliano D. Rosini. Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic. 2019. ⟨hal-02197482v2⟩
  • Boris Andreianov, Mohamed Maliki. ON CLASSES OF WELL-POSEDNESS FOR QUASILINEAR DIFFUSION EQUATIONS IN THE WHOLE SPACE. 2019. ⟨hal-02328003⟩
  • B Andreianov, M Brassart. Uniqueness of entropy solutions to fractional conservation laws with "fully infinite" speed of propagation. 2019. ⟨hal-02190753v3⟩
  • Nathaël Alibaud, Boris Andreianov, Adama Ouedraogo. NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS. 2019. ⟨hal-02320423⟩
  • Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano Rosini. Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux. 2016. ⟨hal-01418272v2⟩
  • Boris Andreianov, Guiseppe Maria Coclite, Carlotta Donadello. WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS. 2016. ⟨hal-01312742⟩
  • Boris Andreianov, Carlotta Donadello, Andrea Marson. On the attainable set for a scalar nonconvex conservation law. 2016. ⟨hal-01346993⟩
  • Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano D. Rosini. Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks. 2015. ⟨hal-01121965v2⟩
  • Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Julien Yves Rolland, Massimiliano D. Rosini. Solutions of the Aw-Rascle-Zhang system with point constraints. 2015. ⟨hal-01191596⟩
  • B Andreianov, Carlotta Donadello, Massimiliano D. Rosini. A second order model for vehicular traffics with local point constraints on the flow. 2015. ⟨hal-01146116⟩
  • Boris Andreianov, Mohamed Karimou Gazibo. Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws. 2015. ⟨hal-01152481v2⟩
  • Boris Andreianov, Mohamed Karimou Gazibo. Solutions processus intégrales des équations d'évolution abstraites et application à l'approximation numérique d'un problème parabolique dégénéré. [ Integral-process solutions of abstract evolution equations and application to numerical approximation of a degenerate parabolic boundary-value problem. ]. 2013. ⟨hal-00857478⟩