Keywords

Journal names

Number of documents

64


Journal articles43 documents

  • 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. <http://www.worldscientific.com/doi/abs/10.1142/S0219891615500101>. <10.1142/S0219891615500101>. <hal-00940756v2>
  • Boris Andreianov, Darko Mitrović. Entropy conditions for scalar conservation laws with discontinuous flux revisited. Ann. IHP Analyse Nonlinéaire, 2015, <http://www.sciencedirect.com/science/article/pii/S0294144914000778>. <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, 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. <http://link.springer.com/article/10.1007%2Fs00028-014-0267-x>. <10.1007/s00028-014-0267-x>. <hal-00967600>
  • 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, 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, 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, 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, Mostafa Bendahmane, Florence Hubert. On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.. CMAM Comput. Methods Appl. Math., 2013, 13 (4), pp. 369-410. <http://www.degruyter.com/view/j/cmam.2013.13.issue-4/cmam-2013-0011/cmam-2013-0011.xml>. <10.1515/cmam-2013-0011>. <hal-00567342v3>
  • 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, Mohamed Karimou Gazibo. Entropy formulation of degenerate parabolic equation with zero-flux boundary condition. ZAMM, Wiley-VCH Verlag, 2013, 164 (5), pp. 1471-1491. <10.1007/s00033-012-0297-6>. <hal-00697593v2>
  • 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, Mostafa Bendahmane, Florence Hubert, Stella Krell. On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.. IMA J. Numer. Analysis, 2012, 32 (4), pp.1574-1603. <10.1093/imanum/drr046>. <hal-00355212v3>
  • 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, 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, 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, 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, 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. <https://www.aimsciences.org/journals/displayPaperReference.jsp?paperID=6983>. <10.3934/dcds.2012.32.1939>. <hal-00576959>
  • 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>
  • Mostafa Bendahmane, Boris Andreianov, Mazen Saad. Finite volume methods for degenerate chemotaxis model. Journal of Computational and Applied Mathematics, Elsevier, 2011, 235 (14), pp.4015-4031. <hal-01015848>
  • 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, 2011, In Press, pp.1-45. <hal-00526047v2>
  • 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>
  • 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, 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, Frédéric Lagoutière, Nicolas Seguin, Takéo Takahashi. Small solids in an inviscid fluid. Networks and Heterogeneous Media, AIMS, 2010, 5 (3), pp.385-404. <10.3934/nhm.2010.5.385>. <hal-00590617>
  • 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>
  • 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. 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>
  • 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, Elsevier Masson, 2010, 348, pp. 759-762. <10.1016/j.crma.2010.05.006>. <hal-01208279>
  • Boris Andreianov, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro. On vanishing viscosity approximation of conservation laws with discontinuous flux.. Networks and Heterogeneous Media, AIMS, 2010, 5 (3), pp.617-633. <10.3934/nhm.2010.5.617>. <hal-00438203>
  • 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, 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, Franck Boyer, Florence Hubert. Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes. Numerical Methods for PDEs, 2007, 23, pp 145-195. <10.1002/num.20170>. <hal-00005779v2>
  • Boris Andreianov, Noureddine Igbida. Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations. Proc. Roy. Soc. Edinburgh Sect. A, 2007, 136 (6), pp.1119-1133. <10.1017/S0308210505001290>. <hal-00475857>
  • Boris Andreianov, Karima Sbihi. Scalar conservation laws with nonlinear boundary conditions. C. R. Math. Acad. Sci. Paris, Académie des Sciences / Elsevier Masson SAS, 2007, 345 (8), pp.431-434. <10.1016/j.crma.2007.09.008>. <hal-00475852>
  • 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. J. Fuhrmann, M. Ohlberger and Christian Rohde. Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. Springer, Springer Proceedings in Mathematics and Statistics, 77, pp. 303-311, 2014, Finite Volumes for Complex Applications VII. <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. F. Boyer, Th. Gallouet, R. Herbin and F. Hubert. CANUM 2014, Mar 2014, Carry-le-Rouet, France. ESAIM, ESAIM: Proceedings and Surveys, 50, pp.40-65, 2015, CANUM 2014 - 42e Congrès National d'Analyse Numérique. <http://www.esaim-proc.org/articles/proc/abs/2015/03/proc155003/proc155003.html>. <10.1051/proc/201550003>. <hal-01109040>
  • Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano Rosini. Riemann problems with non--local point constraints and capacity drop. A.S. Ackleh, R.M. Colombo, S.C. Hille and A. Muntean. Modeling with Measures, Aug 2013, Leiden, Netherlands. American Institute of Mathematical Sciences, Mathematical Biosciences and Engineering (MBE), 12 (2), pp. 259-278, 2015, "MODELING WITH MEASURES". <10.3934/mbe.2015.12.259>. <hal-00959974>
  • Boris Andreianov. One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case. F. Ancona, A. Bressan, P. Marcati, A. Marson. HYP2012 conference in Padova, Jun 2012, Padua, Italy. AIMS, AIMS Series in Applied Mathematics Vol. 8, 1, pp. 259-267, 2014, Hyperbolic Problems: Theory, Numerics, Applications. <https://aimsciences.org/books/am/AMVol8.html>. <hal-00761664v2>
  • Boris Andreianov, Florence Hubert, Stella Krell. Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes. J. Fort, J. Furst, J. Halama. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. Springer, Springer Proceedings in Mathematics, 4 (3), pp.937-948, 2011, Finite Volume for Complex Applications VI. Problems & Perspectives. <http://www.springer.com/us/book/9783642206702>. <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. J. Fořt, J. Fürst, J. Halama, R. Herbin, F. Hubert. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. Springer, Springer Proceedings in Mathematics, 4 (1), pp. 21-29, Finite Volumes for Complex Applications VI. <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. B. Alziary, M.C. López de Silanes, J. Giacomoni, and P. Takác. Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. Monografias de la Real Academia de Ciencias de Zaragoza, 38, pp. 21-34, 2012, A special tribute to Professor Monique Madaune-Tort. <http://acz.unizar.es/ImageServlet?mod=publicaciones&subMod=monografias&car=monografia38&archivo=021.pdf>. <hal-00606948v2>
  • Boris Andreianov. Dissipative interface coupling of conservation laws. Ta-Tsien Li and Song Jiang, eds. HYP2010 conference in Beijing, Jun 2010, Beijing, China. World Scientific, Singapore, Series in Contemporary Applied Mathematics, 17, pp.123-135, 2012, Hyperbolic Problems Theory, Numerics and Applications. <http://www.worldscientific.com/worldscibooks/10.1142/8550#t=aboutBook>. <hal-00761662>
  • 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, 2008. <hal-01015913>
  • Boris Andreianov, Mostafa Bendahmane, Kenneth Hvistendahl Karlsen. A gradient reconstruction formula for finite volume schemes and discrete duality. R. Eymard and J.-M. Herard. Finite volumes for complex applications V, Jun 2008, Aussois, France. ISTE, London; John Wiley & Sons, Finite Volumes for Complex Applications V, pp. 161-168, 2008, Finite Volumes for Complex Applications V. <http://www.iste.co.uk/index.php?p=a&ACTION=View&id=220>. <hal-00475877>
  • Boris Andreianov, Franck Boyer, Florence Hubert. Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids. J.-F. Gerbeau and S. Labbé. Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. EDP Sciences, 18, pp.1-10, 2007, ESAIM: PROCEEDINGS. <hal-00475892>
  • Boris Andreianov, Karima Sbihi. Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions. S. Benzoni-Gavage and D. Serre. 11th international conference on hyperbolic problems, Jul 2006, Lyon, France. Springer, pp.937-945, 2008. <hal-00475870>

Book section1 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, ...8 documents

  • 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, Clément Cancès, Ayman Moussa. A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. 2015. <hal-01142499>
  • Boris Andreianov, Mohamed Karimou Gazibo. Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws. 2015. <hal-01152481v2>
  • 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>
  • 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>
  • 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. 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. ]. bilingual (French with abriged English version). 2013. <hal-00857478>