Boris Andreianov

Identifiants chercheurs

IdHAL :

boris-andreianov

ORCID :

0000-0002-9314-2360

IdRef :

169625656

ResearcherID :

http://www.researcherid.com/rid/AAR-3592-2020

Présentation

Publications

Article dans une revue (50)

Existence of solutions for a class of one-dimensional models of pedestrian evacuations Boris Andreianov,Théo Girard SIAM Journal on Mathematical Analysis, 2024, 56 (3), ⟨10.1137/23M1550256⟩ Article dans une revue hal-03937464v2
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions Boris Andreianov,Abraham Sylla Nonlinear Differential Equations and Applications, 2023, 30 (4), pp.53. ⟨10.1007/s00030-023-00857-9⟩ Article dans une revue hal-03873169v2
Existence analysis and numerical approximation for a second order model of traffic with orderliness marker Boris Andreianov,Abraham Sylla Mathematical Models and Methods in Applied Sciences, 2022, 32 (07), pp.1295-1348. ⟨10.1142/S0218202522500294⟩ Article dans une revue hal-03214129v3
Lack of controllability of the viscous Burgers equation.Part I: The L^∞ setting. Boris Andreianov,Shyam Sundar Ghoshal,Konstantinos Koumatos Journal of Evolution Equations, 2022, 22, pp.70. ⟨10.1007/s00028-022-00831-5⟩ Article dans une revue hal-02497181v3
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow Boris Andreianov,Carlotta Donadello,Massimiliano D. Rosini Nonlinear Differential Equations and Applications, 2021, 28, pp.article number 32. ⟨10.1007/s00030-021-00689-5⟩ Article dans une revue hal-02877276v2
On classes of well-posedness for quasilinear diffusion equations in the whole space Boris Andreianov,Mohamed Maliki Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (2), pp.505-531. ⟨10.3934/dcdss.2020361⟩ Article dans une revue hal-02328003v1
A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs Boris Andreianov,Clément Cancès,Ayman Moussa Journal of Functional Analysis, 2017, 273 (12), pp.3633-3670. ⟨10.1016/j.jfa.2017.08.010⟩ Article dans une revue hal-01142499v1
On the attainable set for a class of triangular systems of conservation laws Boris Andreianov,Carlotta Donadello,Shyam Sundar Ghoshal,Ulrich Razafison Journal of Evolution Equations, 2015, 15 (3), pp. 503-532. ⟨10.1007/s00028-014-0267-x⟩ Article dans une revue hal-00967600v1
Well-posedness of general boundary-value problems for scalar conservation laws Boris Andreianov,Karima Sbihi Transactions AMS, 2015, 367 (6), pp. 3763-3806. ⟨10.1090/S0002-9947-2015-05988-1⟩ Article dans une revue hal-00708973v3
Solvability analysis and numerical approximation of linearized cardiac electromechanics Boris Andreianov,Mostafa Bendahmane,Alfio Quarteroni,Ricardo Ruiz-Baier Mathematical Models and Methods in Applied Sciences, 2015, ⟨10.1142/S0218202515500244⟩ Article dans une revue hal-01256811v1
On interface transmission conditions for conservation laws with discontinuous flux of general shape Boris Andreianov,Clément Cancès Journal of Hyperbolic Differential Equations, 2015, 12 (2), pp.343-384. ⟨10.1142/S0219891615500101⟩ Article dans une revue hal-00940756v2
Entropy conditions for scalar conservation laws with discontinuous flux revisited Boris Andreianov,Darko Mitrović Ann. IHP Analyse Nonlinéaire, 2015, ⟨10.1016/j.anihpc.2014.08.002⟩ Article dans une revue hal-00978482v2
A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media Boris Andreianov,Clément Cancès Computational Geosciences, 2014, 18 (2), pp.211-226 Article dans une revue hal-00833522v1
Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium Boris Andreianov,Konstantin Brenner,Clément Cancès Journal of Applied Mathematics and Mechanics, 2014, 94 (7-8), pp.651-667 Article dans une revue hal-00744359v1
Crowd dynamics and conservation laws with non-local constraints and capacity drop Boris Andreianov,Carlotta Donadello,Massimiliano D. Rosini Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp. 2685-2722. ⟨10.1142/S0218202514500341⟩ Article dans une revue hal-00816449v2
Well-posedness for a one-dimensional fluid-particle interaction model Boris Andreianov,Frédéric Lagoutière,Nicolas Seguin,Takéo Takahashi SIAM Journal on Mathematical Analysis, 2014, 46 (2), ⟨10.1137/130907963⟩ Article dans une revue hal-00789315v1
On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems. Boris Andreianov,Mostafa Bendahmane,Florence Hubert Computational Methods in Applied Mathematics, 2013, 13 (4), pp. 369-410. ⟨10.1515/cmam-2013-0011⟩ Article dans une revue hal-00567342v3
Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium Boris Andreianov,Clément Cancès Computational Geosciences, 2013, 17 (3), pp.551-572 Article dans une revue hal-00631584v2
Entropy formulation of degenerate parabolic equation with zero-flux boundary condition Boris Andreianov,Mohamed Karimou Gazibo Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2013, 164 (5), pp. 1471-1491. ⟨10.1007/s00033-012-0297-6⟩ Article dans une revue hal-00697593v2
Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law] Boris Andreianov,Nicolas Seguin Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (6), pp. 1939-1964. ⟨10.3934/dcds.2012.32.1939⟩ Article dans une revue hal-00576959v1
On uniqueness techniques for degenerate convection-diffusion problems Boris Andreianov,Noureddine Igbida International journal of dynamical systems and differential equations, 2012, 4 (1/2), pp. 3-34. ⟨10.1504/IJDSDE.2012.045992⟩ Article dans une revue hal-00553819v1
Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems Boris Andreianov,Halima Labani Communications on Pure and Applied Analysis, 2012, 11 (6), pp. 2179-2199. ⟨10.3934/cpaa.2012.11.2179⟩ Article dans une revue hal-00522783v1
Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition Boris Andreianov,Petra Wittbold Nonlinear Differential Equations and Applications, 2012, 19 (6), pp. 695-717. ⟨10.1007/s00030-011-0148-8⟩ Article dans une revue hal-00608521v1
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility Boris Andreianov,Robert Eymard,Mustapha Ghilani,Nouzha Marhraoui Numerical Methods for Partial Differential Equations, 2012, 29 (2), pp. 441-474. ⟨10.1002/num.21715⟩ Article dans une revue istex hal-00606955v1
The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions Boris Andreianov,Clément Cancès Applied Mathematics Letters, 2012, 25, pp.1844--1848 Article dans une revue hal-00631586v2
On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality. Boris Andreianov,Mostafa Bendahmane,Florence Hubert,Stella Krell IMA Journal of Numerical Analysis, 2012, 32 (4), pp.1574-1603. ⟨10.1093/imanum/drr046⟩ Article dans une revue hal-00355212v3
A theory of L^1-dissipative solvers for scalar conservation laws with discontinuous flux Boris Andreianov,Kenneth Hvistendahl Karlsen,Nils Henrik Risebro Archive for Rational Mechanics and Analysis, 2011, 201 (1), pp.27-86. ⟨10.1007/s00205-010-0389-4⟩ Article dans une revue hal-00475840v1
Finite volume methods for degenerate chemotaxis model Boris Andreianov,Mostafa Bendahmane,Mazen Saad Journal of Computational and Applied Mathematics, 2011, 235 (14), pp.4015 - 4031. ⟨10.1016/j.cam.2011.02.023⟩ Article dans une revue hal-01737856v1
Convergence of discrete duality finite volume schemes for the cardiac bidomain model Boris Andreianov,Mostafa Bendahmane,Kenneth Hvistendahl Karlsen,Charles Pierre Networks and Heterogeneous Media, 2011, In Press, pp.1-45 Article dans une revue hal-00526047v2
Analysis of a finite volume method for a cross-diffusion model in population dynamics Boris Andreianov,Mostafa Bendahmane,Ricardo Ruiz Baier Mathematical Models and Methods in Applied Sciences, 2011, 21 (02), pp.307-344. ⟨10.1142/S0218202511005064⟩ Article dans une revue hal-00458737v2
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations Boris Andreianov,Mostafa Bendahmane,Kenneth Hvistendahl Karlsen Journal of Hyperbolic Differential Equations, 2010, 7 (1), pp.1--67. ⟨10.1142/S0219891610002062⟩ Article dans une revue hal-00475752v1
Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems. Boris Andreianov,Mostafa Bendahmane,Stanislas Ouaro Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (12), pp. 4649-4660. ⟨10.1016/j.na.2010.02.044⟩ Article dans une revue hal-00402869v1
Renormalized solutions of the fractional Laplace equation Nathael Alibaud,Boris Andreianov,Mostafa Bendahmane Comptes Rendus. Mathématique, 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩ Article dans une revue hal-01208279v1
A note on uniqueness of entropy solutions to degenerate parabolic equations in $\mathbb{R}^N$. Boris Andreianov,Mohamed Maliki Nonlinear Differential Equations and Applications, 2010, 17 (1), pp. 109-118. ⟨10.1007/s00030-009-0042-9⟩ Article dans une revue hal-00378475v2
Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems. Boris Andreianov,Mostafa Bendahmane,Stanislas Ouaro Nonlinear Analysis: Theory, Methods and Applications, 2010, 73 (1), pp.2-24. ⟨10.1016/j.na.2010.02.039⟩ Article dans une revue hal-00363284v3
Non-uniqueness of weak solutions for the fractal Burgers equation Nathael Alibaud,Boris Andreïanov Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2010, 27 (4), pp. 997-016. ⟨10.1016/j.anihpc.2010.01.008⟩ Article dans une revue hal-00405892v3
On vanishing viscosity approximation of conservation laws with discontinuous flux. Boris Andreianov,Kenneth Hvistendahl Karlsen,Nils Henrik Risebro Networks and Heterogeneous Media, 2010, 5 (3), pp.617-633. ⟨10.3934/nhm.2010.5.617⟩ Article dans une revue hal-00438203v1
Finite volume schemes for locally constrained conservation laws Boris Andreianov,Paola Goatin,Nicolas Seguin Numerische Mathematik, 2010, 115 (4), pp. 609-645. ⟨10.1007/s00211-009-0286-7⟩ Article dans une revue hal-00387806v1
Finite volume schemes for constrained conservation laws Paola Goatin,Nicolas Seguin,Boris Andreianov Numerische Mathematik, 2010, 115 (4), pp.609-645 Article dans une revue inria-00534872v1
Small solids in an inviscid fluid Boris Andreianov,Frédéric Lagoutière,Nicolas Seguin,Takéo Takahashi Networks and Heterogeneous Media, 2010, 5 (3), pp.385-404. ⟨10.3934/nhm.2010.5.385⟩ Article dans une revue hal-00590617v1
Well-posedness results for triply nonlinear degenerate parabolic equations. Boris Andreianov,Mostafa Bendahmane,Kenneth Hvistendahl Karlsen,Stanislas Ouaro Journal of Differential Equations, 2009, 247 (1), pp.277-302. ⟨10.1016/j.jde.2009.03.001⟩ Article dans une revue hal-00475758v1
On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption. Boris Andreianov,Karima Sbihi,Petra Wittbold Journal of Evolution Equations, 2008, 8 (3), pp.449--490. ⟨10.1007/s00028-008-0365-8⟩ Article dans une revue istex hal-00475748v1
Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes Boris Andreianov,Franck Boyer,Florence Hubert Numerical Methods for Partial Differential Equations, 2007, 23, pp 145-195. ⟨10.1002/num.20170⟩ Article dans une revue hal-00005779v2
Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations Boris Andreianov,Noureddine Igbida Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2007, 136 (6), pp.1119-1133. ⟨10.1017/S0308210505001290⟩ Article dans une revue istex hal-00475857v1
Scalar conservation laws with nonlinear boundary conditions Boris Andreianov,Karima Sbihi Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (8), pp.431-434. ⟨10.1016/j.crma.2007.09.008⟩ Article dans une revue istex hal-00475852v1
On the finite-volume approximation of regular solutions of the $p$-Laplacian Boris Andreianov,Franck Boyer,Florence Hubert IMA Journal of Numerical Analysis, 2006, 26 (3), pp. 472-502. ⟨10.1093/imanum/dri047⟩ Article dans une revue istex hal-00475905v1
Revising uniqueness for a nonlinear diffusion-convection equation Boris Andreianov,Noureddine Igbida Journal of Differential Equations, 2006, 227 (1), pp.69-79. ⟨10.1016/j.jde.2005.09.003⟩ Article dans une revue istex hal-00475860v1
Besov regularity and new error estimates for finite volume approximations of the p-laplacian Boris Andreianov,Franck Boyer,Florence Hubert Numerische Mathematik, 2005, 100 no 4, p. 565-592. ⟨10.1007/s00211-005-0591-8⟩ Article dans une revue hal-00004419v1
Finite volume schemes for the p-laplacian on cartesian meshes Boris Andreianov,Franck Boyer,Florence Hubert ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 no 6, pp 931-959. ⟨10.1051/m2an:2004045⟩ Article dans une revue hal-00004088v1
Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a &quot;&quot;Continuous&quot;&quot; Approach. Boris Andreianov,Michaël Gutnic,Petra Wittbold SIAM Journal on Numerical Analysis, 2003, 42 (1), pp.228-251 Article dans une revue hal-00129680v1

Communication dans un congrès (13)

A macroscopic model to reproduce self-organization at bottlenecks Boris Andreianov,Abraham Sylla Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 9, Bergen, Norway, June 2020, Jun 2020, Bergen, Norway. pp.243-254, ⟨10.1007/978-3-030-43651-3_21⟩ Communication dans un congrès hal-02526538v1
NEW APPROACHES TO DESCRIBING ADMISSIBILITY OF SOLUTIONS OF SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX Boris Andreianov CANUM 2014, Mar 2014, Carry-le-Rouet, France. pp.40-65, ⟨10.1051/proc/201550003⟩ Communication dans un congrès hal-01109040v1
Riemann problems with non--local point constraints and capacity drop Boris Andreianov,Carlotta Donadello,Ulrich Razafison,Massimiliano D. Rosini Modeling with Measures, Aug 2013, Leiden, Netherlands. pp. 259-278, ⟨10.3934/mbe.2015.12.259⟩ Communication dans un congrès hal-00959974v1
One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case Boris Andreianov HYP2012 conference in Padova, Jun 2012, Padua, Italy. pp. 259-267 Communication dans un congrès hal-00761664v2
Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition Boris Andreïanov,Mohamed Karimou Gazibo Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. pp. 303-311, ⟨10.1007/978-3-319-05684-5_29⟩ Communication dans un congrès hal-00950142v2
On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media Boris Andreianov,Robert Eymard,Mustapha Ghilani,Nouzha Marhraoui Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. pp. 21-34 Communication dans un congrès hal-00606948v2
Dissipative interface coupling of conservation laws Boris Andreianov HYP2010 conference in Beijing, Jun 2010, Beijing, China. pp.123-135 Communication dans un congrès hal-00761662v1
Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs Boris Andreianov Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp. 21-29, ⟨10.1007/978-3-642-20671-9_3⟩ Communication dans un congrès istex hal-00561344v2
Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes Boris Andreianov,Florence Hubert,Stella Krell Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.937-948, ⟨10.1007/978-3-642-20671-9_91⟩ Communication dans un congrès hal-00572732v1
A gradient reconstruction formula for nite volume schemes and discrete duality Mostafa Bendahmane,Boris Andreianov,Kenneth H. Karlsen Finite volumes for complex applications, 2008, France. pp.161-168 Communication dans un congrès hal-01015913v1
Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions Boris Andreianov,Karima Sbihi 11th international conference on hyperbolic problems, Jul 2006, Lyon, France. pp.937-945 Communication dans un congrès hal-00475870v1
A gradient reconstruction formula for finite volume schemes and discrete duality Boris Andreianov,Mostafa Bendahmane,Kenneth Hvistendahl Karlsen Finite volumes for complex applications V, Jun 2008, Aussois, France. pp. 161-168 Communication dans un congrès hal-00475877v1
Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids Boris Andreianov,Franck Boyer,Florence Hubert Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. pp.1-10 Communication dans un congrès hal-00475892v1

Chapitre d'ouvrage (2)

The mathematical theory of Hughes' model : a survey of results Debora Amadori,Boris Andreianov,Marco Di Francesco,Simone Fagioli,Théo Girardet al. Crowd Dynamics, Volume 4 : Analytics and Human Factors in Crowd Modeling, Springer, 2023, Modeling and Simulation in Science, Engineering and Technology, 978-3-031-46358-7 Chapitre d'ouvrage hal-04087181v1
Semigroup approach to conservation laws with discontinuous flux Boris Andreianov 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⟩ Chapitre d'ouvrage hal-00698581v2

Pré-publication, Document de travail (13)

CONSERVATION LAWS ON A STAR-SHAPED GRAPH UNDER GENERALIZED KEDEM-KATCHALSKY NODE TRANSMISSION CONDITIONS Boris Andreianov,Giuseppe Maria Coclite,Carlotta Donadello 2025 Pré-publication, Document de travail hal-05065168v2
On stability of one-dimensional Hughes' dynamics with affine costs Boris Andreianov,Simone Fagioli,Massimiliano D. Rosini,Graziano Stivaletta 2025 Pré-publication, Document de travail hal-04988530v1
Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic Boris Andreianov,Massimiliano D. Rosini 2019 Pré-publication, Document de travail hal-02197482v2
Uniqueness of entropy solutions to fractional conservation laws with &quot;fully infinite&quot; speed of propagation B Andreianov,M Brassart 2019 Pré-publication, Document de travail hal-02190753v3
NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS Nathaël Alibaud,Boris Andreianov,Adama Ouedraogo 2019 Pré-publication, Document de travail hal-02320423v1
Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux Boris Andreianov,Carlotta D Donadello,Ulrich Razafison,Massimiliano D Rosini 2016 Pré-publication, Document de travail hal-01418272v2
WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS Boris Andreianov,Guiseppe Maria Coclite,Carlotta Donadello 2016 Pré-publication, Document de travail hal-01312742v1
On the attainable set for a scalar nonconvex conservation law Boris Andreianov,Carlotta Donadello,Andrea Marson 2016 Pré-publication, Document de travail hal-01346993v1
Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws Boris Andreianov,Mohamed Karimou Gazibo 2015 Pré-publication, Document de travail hal-01152481v2
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 Boris Andreianov,Carlotta Donadello,Ulrich Razafison,Massimiliano D. Rosini 2015 Pré-publication, Document de travail hal-01121965v2
Solutions of the Aw-Rascle-Zhang system with point constraints Boris Andreianov,Carlotta Donadello,Ulrich Razafison,Julien Yves Rolland,Massimiliano D. Rosini 2015 Pré-publication, Document de travail hal-01191596v1
A second order model for vehicular traffics with local point constraints on the flow B Andreianov,Carlotta Donadello,Massimiliano D. Rosini 2015 Pré-publication, Document de travail hal-01146116v1
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. ] Boris Andreianov,Mohamed Karimou Gazibo 2013 Pré-publication, Document de travail hal-00857478v1