## Andreianov, Boris

Compute Distance To:
 Author ID: andreianov.boris-p Published as: Andreianov, Boris; Andreianov, Boris P.; Andreianov, B.; Andreianov, Boris A.; Andreyanov, Boris P.; Andrejanov, B. P.; Andreyanov, B. P. more...less Further Spellings: Andreianov, Boris Pavlovitch Homepage: https://www.idpoisson.fr/andreianov/ External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp · IdRef · theses.fr
 Documents Indexed: 79 Publications since 1997 Co-Authors: 47 Co-Authors with 70 Joint Publications 1,135 Co-Co-Authors
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### Co-Authors

 9 single-authored 12 Bendahmane, Mostafa 11 Donadello, Carlotta 9 Hubert, Florence 9 Rosini, Massimiliano Daniele 6 Boyer, Franck 6 Cancès, Clément 6 Karlsen, Kenneth Hvistendahl 6 Razafison, Ulrich 4 Sbihi, Karima 4 Seguin, Nicolas 4 Wittbold, Petra 3 Alibaud, Nathaël 3 Gazibo, Mohamed Karimou 3 Igbida, Noureddine 3 Ouaro, Stanislas 2 Ghoshal, Shyam Sundar 2 Gutnic, Michaël 2 Krell, Stella 2 Lagoutière, Frédéric 2 Maliki, Mohamed 2 Risebro, Nils Henrik 2 Ruiz-Baier, Ricardo 2 Sylla, Abraham 2 Takahashi, Takéo 1 Bénilan, Philippe 1 Bouhsiss, Fouzia 1 Brassart, Matthieu 1 Brenner, Konstantin 1 Coclite, Giuseppe Maria 1 Eymard, Robert 1 Ghilani, Mustapha 1 Goatin, Paola 1 Koumatos, Konstantinos 1 Kramar Fijavž, Marjeta 1 Kruzhkov, Stanislav Nicolayevich 1 Labani, Halima 1 Marhraoui, Nouzha 1 Marson, Andrea 1 Mitrovic, Darko 1 Moussa, Ayman 1 Ouédraogo, Adama 1 Peperko, Aljoša 1 Pierre, Charles 1 Quarteroni, Alfio M. 1 Rolland, Julien Y. 1 Saad, Mazen 1 Sikolya, Eszter
all top 5

### Serials

 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Networks and Heterogeneous Media 4 Journal of Evolution Equations 3 Journal of Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 2 IMA Journal of Numerical Analysis 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Numerical Methods for Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Computational Geosciences 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Hyperbolic Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Moscow University Mathematics Bulletin 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Sbornik: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Dynamical Systems and Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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### Fields

 69 Partial differential equations (35-XX) 33 Numerical analysis (65-XX) 13 Operations research, mathematical programming (90-XX) 11 Fluid mechanics (76-XX) 10 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 3 Mechanics of deformable solids (74-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 844 times in 451 Documents Cited by Year
A theory of $$L ^{1}$$-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088
Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
2011
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2007
Analysis of a finite volume method for a cross-diffusion model in population dynamics. Zbl 1228.65178
Andreianov, Boris; Bendahmane, Mostafa; Ruiz-Baier, Ricardo
2011
Finite volume schemes for locally constrained conservation laws. Zbl 1196.65151
Andreianov, Boris; Goatin, Paola; Seguin, Nicolas
2010
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.
2010
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
2010
Well-posedness results for triply nonlinear degenerate parabolic equations. Zbl 1178.35212
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.; Ouaro, S.
2009
Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks’ medium. Zbl 1392.76033
Andreianov, Boris; Cancès, Clément
2013
Finite volume methods for degenerate chemotaxis model. Zbl 1228.65179
Andreianov, Boris; Bendahmane, Mostafa; Saad, Mazen
2011
The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. Zbl 1253.65122
Andreianov, Boris; Cancès, Clément
2012
Entropy conditions for scalar conservation laws with discontinuous flux revisited. Zbl 1343.35158
Andreianov, Boris; Mitrović, Darko
2015
Non-uniqueness of weak solutions for the fractal Burgers equation. Zbl 1201.35006
Alibaud, Nathaël; Andreianov, Boris
2010
Renormalized solutions of the fractional Laplace equation. Zbl 1198.35285
Alibaud, Nathaël; Andreianov, Boris; Bendahmane, Mostafa
2010
A note on uniqueness of entropy solutions to degenerate parabolic equations in $${\mathbb{R}^N}$$. Zbl 1190.35128
Andreianov, Boris; Maliki, Mohamed
2010
$$L^1$$-theory of scalar conservation law with continuous flux function. Zbl 0944.35048
Andreianov, Boris P.; Bénilan, Philippe; Kruzhkov, Stanislav N.
2000
A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. Zbl 1387.46051
Andreianov, Boris; Cancès, Clément; Moussa, Ayman
2017
Crowd dynamics and conservation laws with nonlocal constraints and capacity drop. Zbl 1307.35166
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano D.
2014
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
2015
A second-order model for vehicular traffics with local point constraints on the flow. Zbl 1337.35086
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano Daniele
2016
Structural stability for variable exponent elliptic problems. I: The $$p(x)$$-Laplacian kind problems. Zbl 1191.35126
Andreianov, B.; Bendahmane, M.; Ouaro, S.
2010
Well-posedness of general boundary-value problems for scalar conservation laws. Zbl 1316.35184
Andreianov, Boris; Sbihi, Karima
2015
Structural stability for variable exponent elliptic problems. II: The $$p(u)$$-Laplacian and coupled problems. Zbl 1188.35068
Andreianov, B.; Bendahmane, M.; Ouaro, S.
2010
New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux. Zbl 1342.35174
Andreianov, Boris
2015
Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem: a “continuous” approach. Zbl 1080.65081
Andreianov, Boris A.; Gutnic, Michaël; Wittbold, Petra
2004
Finite volume schemes for the $$p$$-Laplacian on Cartesian meshes. Zbl 1081.65105
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2004
Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. Zbl 1297.76152
Andreianov, Boris; Brenner, Konstantin; Cancès, Clément
2014
Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network. Zbl 1368.90043
Andreianov, Boris P.; Coclite, Giuseppe Maria; Donadello, Carlotta
2017
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. Zbl 1370.65042
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D.
2016
On uniqueness techniques for degenerate convection-diffusion problems. Zbl 1263.35007
Andreianov, Boris; Igbida, Noureddine
2012
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles
2011
Riemann problems with non-local point constraints and capacity drop. Zbl 1308.35134
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D.
2015
Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes. Zbl 1246.35125
Andreianov, Boris; Seguin, Nicolas
2012
On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality. Zbl 1284.65149
Andreianov, Boris; Bendahmane, Mostafa; Hubert, Florence; Krell, Stella
2012
Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux. Zbl 1404.35282
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D.
2018
Solvability analysis and numerical approximation of linearized cardiac electromechanics. Zbl 1309.74049
Andreianov, Boris; Bendahmane, Mostafa; Quarteroni, Alfio; Ruiz-Baier, Ricardo
2015
Uniqueness for an elliptic-parabolic problem with Neumann boundary condition. Zbl 1053.35109
Andreianov, Boris P.; Bouhsiss, Fouzia
2004
On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption. Zbl 1158.35057
Andreianov, Boris; Sbihi, Karima; Wittbold, Petra
2008
Scalar conservation laws with nonlinear boundary conditions. Zbl 1157.35420
Andreianov, Boris; Sbihi, Karima
2007
Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations. Zbl 1134.35081
Andreianov, Boris P.; Igbida, Noureddine
2007
On 3D DDFV discretization of gradient and divergence operators: discrete functional analysis tools and applications to degenerate parabolic problems. Zbl 1393.65043
Andreianov, Boris; Bendahmane, Mostafa; Hubert, Florence
2013
The semigroup approach to conservation laws with discontinuous flux. Zbl 1284.35272
Andreianov, Boris
2014
Solutions of the Aw-Rascle-Zhang system with point constraints. Zbl 1350.35119
Rosini, Massimiliano D.; Rolland, Julien Y.; Razafison, Ulrich; Donadello, Carlotta; Andreianov, Boris P.
2016
On the attainable set for a class of triangular systems of conservation laws. Zbl 1336.35231
Andreianov, Boris; Donadello, Carlotta; Ghoshal, Shyam Sundar; Razafison, Ulrich
2015
Well-posedness for a one-dimensional fluid-particle interaction model. Zbl 1302.35263
Andreianov, Boris; Lagoutière, Frédéric; Seguin, Nicolas; Takahashi, Takéo
2014
A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media. Zbl 1393.76114
Andreianov, Boris; Cancès, Clément
2014
On the finite-volume approximation of regular solutions of the $$p$$-Laplacian. Zbl 1113.65104
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2006
Besov regularity and new error estimates for finite volume approximations of the $$p$$-Laplacian. Zbl 1106.65098
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2005
Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions. Zbl 1140.35516
Andreianov, B.; Sbihi, K.
2008
Small solids in an inviscid fluid. Zbl 1262.35180
Andreianov, Boris; Lagoutiére, Frédéric; Seguin, Nicolas; Takahashi, Takéo
2010
Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs. Zbl 1246.65169
Andreianov, Boris
2011
Revising uniqueness for a nonlinear diffusion-convection equation. Zbl 1096.35064
Andreianov, B.; Igbida, N.
2006
Entropy formulation of degenerate parabolic equation with zero-flux boundary condition. Zbl 1278.35134
Andreianov, Boris; Gazibo, Mohamed Karimou
2013
Nonlocal dissipation measure and $$L^1$$ kinetic theory for fractional conservation laws. Zbl 1448.35536
Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama
2020
A macroscopic model to reproduce self-organization at bottlenecks. Zbl 1454.65067
Andreianov, Boris; Sylla, Abraham
2020
Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition. Zbl 1261.35094
Andreianov, Boris; Wittbold, Petra
2012
Uniqueness of entropy solutions to fractional conservation laws with “Fully infinite” speed of propagation. Zbl 1473.35619
Andreianov, Boris; Brassart, Matthieu
2020
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Zbl 1364.76106
Andreianov, Boris; Eymard, Robert; Ghilani, Mustapha; Marhraoui, Nouzha
2013
On limits of solutions of the Riemann problem for a system of isentropic gas dynamics with viscosity in Euler coordinates. Zbl 1065.35180
Andreyanov, B. P.
2003
Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes. Zbl 1246.76041
Andreianov, Boris; Hubert, Florence; Krell, Stella
2011
Dissipative coupling of scalar conservation laws across an interface: theory and applications. Zbl 1284.35271
Andreianov, Boris
2012
Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition. Zbl 1298.65132
Andreianov, Boris; Gazibo, Mohamed Karimou
2014
A gradient reconstruction formula for finite volume schemes and discrete duality. Zbl 1422.65200
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.
2008
On the attainable set for a scalar nonconvex conservation law. Zbl 1373.35326
Andreianov, Boris P.; Donadello, Carlotta; Marson, Andrea
2017
Self-similar solutions of the Riemann problem for a quasilinear scalar conservation law with continuous flux function of viscosity $$\varepsilon tu_{xx}$$. (Solutions auto-similaires du problème de Riemann pour une loi de conservation scalaire quasilinéaire à fonction de flux continue avec la viscosité $$\varepsilon tu_{xx}$$.) Zbl 1006.35063
Andreyanov, Boris P.
1997
One-dimensional conservation laws with nonlocal point constraints on the flux. Zbl 1417.90047
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano Daniele
2018
The Riemann problem for $$p$$-systems with continuous flux function. Zbl 0959.35112
Andreianov, Boris P.
1999
Method of vanishing viscosity and explicit solution of the Riemann problem for scalar conservation law. Zbl 0951.35077
Andrejanov, B. P.
1999
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow. Zbl 1467.35219
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano D.
2021
Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic. Zbl 1494.35114
Andreianov, Boris; Rosini, Massimiliano D.
2020
“Duplex” finite-volume schemes for nonlinear elliptic problems on general 2D meshes. Zbl 1422.65332
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2005
Erratum to: “Semigroups of max-plus linear operators”. Zbl 1420.47014
Andreianov, Boris; Fijavž, Marjeta Kramar; Peperko, Aljoša; Sikolya, Eszter
2017
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow. Zbl 1467.35219
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano D.
2021
Nonlocal dissipation measure and $$L^1$$ kinetic theory for fractional conservation laws. Zbl 1448.35536
Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama
2020
A macroscopic model to reproduce self-organization at bottlenecks. Zbl 1454.65067
Andreianov, Boris; Sylla, Abraham
2020
Uniqueness of entropy solutions to fractional conservation laws with “Fully infinite” speed of propagation. Zbl 1473.35619
Andreianov, Boris; Brassart, Matthieu
2020
Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic. Zbl 1494.35114
Andreianov, Boris; Rosini, Massimiliano D.
2020
Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux. Zbl 1404.35282
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D.
2018
One-dimensional conservation laws with nonlocal point constraints on the flux. Zbl 1417.90047
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano Daniele
2018
A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. Zbl 1387.46051
Andreianov, Boris; Cancès, Clément; Moussa, Ayman
2017
Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network. Zbl 1368.90043
Andreianov, Boris P.; Coclite, Giuseppe Maria; Donadello, Carlotta
2017
On the attainable set for a scalar nonconvex conservation law. Zbl 1373.35326
Andreianov, Boris P.; Donadello, Carlotta; Marson, Andrea
2017
Erratum to: “Semigroups of max-plus linear operators”. Zbl 1420.47014
Andreianov, Boris; Fijavž, Marjeta Kramar; Peperko, Aljoša; Sikolya, Eszter
2017
A second-order model for vehicular traffics with local point constraints on the flow. Zbl 1337.35086
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano Daniele
2016
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. Zbl 1370.65042
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D.
2016
Solutions of the Aw-Rascle-Zhang system with point constraints. Zbl 1350.35119
Rosini, Massimiliano D.; Rolland, Julien Y.; Razafison, Ulrich; Donadello, Carlotta; Andreianov, Boris P.
2016
Entropy conditions for scalar conservation laws with discontinuous flux revisited. Zbl 1343.35158
Andreianov, Boris; Mitrović, Darko
2015
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
2015
Well-posedness of general boundary-value problems for scalar conservation laws. Zbl 1316.35184
Andreianov, Boris; Sbihi, Karima
2015
New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux. Zbl 1342.35174
Andreianov, Boris
2015
Riemann problems with non-local point constraints and capacity drop. Zbl 1308.35134
Andreianov, Boris; Donadello, Carlotta; Razafison, Ulrich; Rosini, Massimiliano D.
2015
Solvability analysis and numerical approximation of linearized cardiac electromechanics. Zbl 1309.74049
Andreianov, Boris; Bendahmane, Mostafa; Quarteroni, Alfio; Ruiz-Baier, Ricardo
2015
On the attainable set for a class of triangular systems of conservation laws. Zbl 1336.35231
Andreianov, Boris; Donadello, Carlotta; Ghoshal, Shyam Sundar; Razafison, Ulrich
2015
Crowd dynamics and conservation laws with nonlocal constraints and capacity drop. Zbl 1307.35166
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano D.
2014
Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. Zbl 1297.76152
Andreianov, Boris; Brenner, Konstantin; Cancès, Clément
2014
The semigroup approach to conservation laws with discontinuous flux. Zbl 1284.35272
Andreianov, Boris
2014
Well-posedness for a one-dimensional fluid-particle interaction model. Zbl 1302.35263
Andreianov, Boris; Lagoutière, Frédéric; Seguin, Nicolas; Takahashi, Takéo
2014
A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media. Zbl 1393.76114
Andreianov, Boris; Cancès, Clément
2014
Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition. Zbl 1298.65132
Andreianov, Boris; Gazibo, Mohamed Karimou
2014
Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks’ medium. Zbl 1392.76033
Andreianov, Boris; Cancès, Clément
2013
On 3D DDFV discretization of gradient and divergence operators: discrete functional analysis tools and applications to degenerate parabolic problems. Zbl 1393.65043
Andreianov, Boris; Bendahmane, Mostafa; Hubert, Florence
2013
Entropy formulation of degenerate parabolic equation with zero-flux boundary condition. Zbl 1278.35134
Andreianov, Boris; Gazibo, Mohamed Karimou
2013
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Zbl 1364.76106
Andreianov, Boris; Eymard, Robert; Ghilani, Mustapha; Marhraoui, Nouzha
2013
The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. Zbl 1253.65122
Andreianov, Boris; Cancès, Clément
2012
On uniqueness techniques for degenerate convection-diffusion problems. Zbl 1263.35007
Andreianov, Boris; Igbida, Noureddine
2012
Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes. Zbl 1246.35125
Andreianov, Boris; Seguin, Nicolas
2012
On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality. Zbl 1284.65149
Andreianov, Boris; Bendahmane, Mostafa; Hubert, Florence; Krell, Stella
2012
Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition. Zbl 1261.35094
Andreianov, Boris; Wittbold, Petra
2012
Dissipative coupling of scalar conservation laws across an interface: theory and applications. Zbl 1284.35271
Andreianov, Boris
2012
A theory of $$L ^{1}$$-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088
Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
2011
Analysis of a finite volume method for a cross-diffusion model in population dynamics. Zbl 1228.65178
Andreianov, Boris; Bendahmane, Mostafa; Ruiz-Baier, Ricardo
2011
Finite volume methods for degenerate chemotaxis model. Zbl 1228.65179
Andreianov, Boris; Bendahmane, Mostafa; Saad, Mazen
2011
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles
2011
Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs. Zbl 1246.65169
Andreianov, Boris
2011
Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes. Zbl 1246.76041
Andreianov, Boris; Hubert, Florence; Krell, Stella
2011
Finite volume schemes for locally constrained conservation laws. Zbl 1196.65151
Andreianov, Boris; Goatin, Paola; Seguin, Nicolas
2010
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.
2010
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
2010
Non-uniqueness of weak solutions for the fractal Burgers equation. Zbl 1201.35006
Alibaud, Nathaël; Andreianov, Boris
2010
Renormalized solutions of the fractional Laplace equation. Zbl 1198.35285
Alibaud, Nathaël; Andreianov, Boris; Bendahmane, Mostafa
2010
A note on uniqueness of entropy solutions to degenerate parabolic equations in $${\mathbb{R}^N}$$. Zbl 1190.35128
Andreianov, Boris; Maliki, Mohamed
2010
Structural stability for variable exponent elliptic problems. I: The $$p(x)$$-Laplacian kind problems. Zbl 1191.35126
Andreianov, B.; Bendahmane, M.; Ouaro, S.
2010
Structural stability for variable exponent elliptic problems. II: The $$p(u)$$-Laplacian and coupled problems. Zbl 1188.35068
Andreianov, B.; Bendahmane, M.; Ouaro, S.
2010
Small solids in an inviscid fluid. Zbl 1262.35180
Andreianov, Boris; Lagoutiére, Frédéric; Seguin, Nicolas; Takahashi, Takéo
2010
Well-posedness results for triply nonlinear degenerate parabolic equations. Zbl 1178.35212
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.; Ouaro, S.
2009
On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption. Zbl 1158.35057
Andreianov, Boris; Sbihi, Karima; Wittbold, Petra
2008
Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions. Zbl 1140.35516
Andreianov, B.; Sbihi, K.
2008
A gradient reconstruction formula for finite volume schemes and discrete duality. Zbl 1422.65200
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.
2008
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2007
Scalar conservation laws with nonlinear boundary conditions. Zbl 1157.35420
Andreianov, Boris; Sbihi, Karima
2007
Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations. Zbl 1134.35081
Andreianov, Boris P.; Igbida, Noureddine
2007
On the finite-volume approximation of regular solutions of the $$p$$-Laplacian. Zbl 1113.65104
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2006
Revising uniqueness for a nonlinear diffusion-convection equation. Zbl 1096.35064
Andreianov, B.; Igbida, N.
2006
Besov regularity and new error estimates for finite volume approximations of the $$p$$-Laplacian. Zbl 1106.65098
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2005
“Duplex” finite-volume schemes for nonlinear elliptic problems on general 2D meshes. Zbl 1422.65332
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2005
Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem: a “continuous” approach. Zbl 1080.65081
Andreianov, Boris A.; Gutnic, Michaël; Wittbold, Petra
2004
Finite volume schemes for the $$p$$-Laplacian on Cartesian meshes. Zbl 1081.65105
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2004
Uniqueness for an elliptic-parabolic problem with Neumann boundary condition. Zbl 1053.35109
Andreianov, Boris P.; Bouhsiss, Fouzia
2004
On limits of solutions of the Riemann problem for a system of isentropic gas dynamics with viscosity in Euler coordinates. Zbl 1065.35180
Andreyanov, B. P.
2003
$$L^1$$-theory of scalar conservation law with continuous flux function. Zbl 0944.35048
Andreianov, Boris P.; Bénilan, Philippe; Kruzhkov, Stanislav N.
2000
The Riemann problem for $$p$$-systems with continuous flux function. Zbl 0959.35112
Andreianov, Boris P.
1999
Method of vanishing viscosity and explicit solution of the Riemann problem for scalar conservation law. Zbl 0951.35077
Andrejanov, B. P.
1999
Self-similar solutions of the Riemann problem for a quasilinear scalar conservation law with continuous flux function of viscosity $$\varepsilon tu_{xx}$$. (Solutions auto-similaires du problème de Riemann pour une loi de conservation scalaire quasilinéaire à fonction de flux continue avec la viscosité $$\varepsilon tu_{xx}$$.) Zbl 1006.35063
Andreyanov, Boris P.
1997
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### Cited by 549 Authors

 43 Andreianov, Boris 22 Cancès, Clément 18 Rosini, Massimiliano Daniele 17 Bendahmane, Mostafa 17 Saad, Mazen 13 Donadello, Carlotta 13 Goatin, Paola 12 Droniou, Jérôme 11 Quenjel, EL Houssaine 11 Towers, John D. 11 Wittbold, Petra 11 Zhan, Huashui 10 Ruiz-Baier, Ricardo 9 Karlsen, Kenneth Hvistendahl 9 Krell, Stella 9 Risebro, Nils Henrik 8 Eymard, Robert 8 Ghoshal, Shyam Sundar 8 Ouaro, Stanislas 7 Abreu, Eduardo 7 Panov, Evgeniy Yu. 6 Brenner, Konstantin 6 Chainais-Hillairet, Claire 6 Hermeline, François 6 Jüngel, Ansgar 6 Klimsiak, Tomasz 6 Tian, Canrong 6 Zimmermann, Alexandra 5 Boyer, Franck 5 Coclite, Giuseppe Maria 5 Feng, Zhaosheng 5 Garavello, Mauro 5 Gwiazda, Piotr 5 Hubert, Florence 5 Ibrahim, Moustafa 5 Jakobsen, Espen Robstad 5 Maliki, Mohamed 5 Masson, Roland 5 Nabet, Flore 5 Ouédraogo, Adama 5 Razafison, Ulrich 5 Shen, Wen 5 Vallet, Guy 4 Antontsev, Stanislav Nikolaevich 4 Benzakour Amine, M. 4 Bessemoulin-Chatard, Marianne 4 Chamoun, Georges 4 del Teso, Félix 4 Delle Monache, Maria Laura 4 Endal, Jørgen 4 Ercole, Grey 4 Ghilani, Mustapha 4 Igbida, Noureddine 4 Martins, Eder Marinho 4 Piccoli, Benedetto 4 Shangerganesh, Lingeshwaran 4 Sylla, Abraham 4 Talhouk, Raafat 4 Wang, Guodong 4 Wu, Jiming 3 Akhmouch, M. 3 Ancona, Fabio 3 Balachandran, Krishnan 3 Bauzet, Caroline 3 Benyahia, Mohamed 3 Bürger, Raimund 3 Cristiani, Emiliano 3 Di Pietro, Daniele Antonio 3 Galiano Casas, Gonzalo 3 Goudon, Thierry 3 Guichard, Cindy 3 Herbin, Raphaèle 3 Jana, Animesh 3 Lissoni, Giulia 3 Manzini, Gianmarco 3 Mitrovic, Darko 3 Njifenjou, Abdou 3 Omnes, Pascal 3 Pao, Chia-Ven 3 Quarteroni, Alfio M. 3 Saad, Bilal M. 3 Sawadogo, Noufou 3 Sbihi, Karima 3 Seguin, Nicolas 3 Selgas, Virginia 3 Sepúlveda, Mauricio A. 3 Shmarev, Sergey I. 3 Tran, Quang Huy 3 Vohralík, Martin 3 Zhang, Chao 3 Zurek, Antoine 2 Aguillon, Nina 2 Ahmed, Elyes 2 Ainseba, Bedr’Eddine 2 Alibaud, Nathaël 2 Anaya, Verónica 2 Antonietti, Paola Francesca 2 Badwaik, Jayesh 2 Biezuner, Rodney Josué 2 Bigoni, Nadia ...and 449 more Authors
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### Cited in 132 Serials

 29 Journal of Differential Equations 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Journal of Computational Physics 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Networks and Heterogeneous Media 15 Computers & Mathematics with Applications 14 Computational Geosciences 12 Journal of Mathematical Analysis and Applications 12 Numerische Mathematik 11 SIAM Journal on Numerical Analysis 11 NoDEA. Nonlinear Differential Equations and Applications 11 Journal of Hyperbolic Differential Equations 10 Numerical Methods for Partial Differential Equations 9 Applied Numerical Mathematics 7 Mathematics of Computation 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of Scientific Computing 7 Discrete and Continuous Dynamical Systems. Series S 5 Calcolo 5 Journal of Functional Analysis 5 Mathematics and Computers in Simulation 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 5 Journal of Evolution Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Sciences (New York) 4 Nonlinear Analysis. Real World Applications 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Control and Optimization 3 Applied Mathematics Letters 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Discrete Dynamics in Nature and Society 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Nonlinear Analysis 3 Journal of Elliptic and Parabolic Equations 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 International Journal for Numerical Methods in Engineering 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Potential Analysis 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Mathematical Modelling and Analysis 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 Mediterranean Journal of Mathematics 2 Acta Numerica 2 Advances in Difference Equations 2 Cubo 2 Mathematical Biosciences and Engineering 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Boundary Value Problems 2 Mathematical Modelling of Natural Phenomena 2 Journal of Function Spaces 2 SMAI Journal of Computational Mathematics 2 International Journal on Finite Volumes 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Nonlinearity 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Kybernetika 1 Le Matematiche 1 Mathematische Annalen 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications ...and 32 more Serials
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### Cited in 26 Fields

 361 Partial differential equations (35-XX) 222 Numerical analysis (65-XX) 106 Fluid mechanics (76-XX) 57 Biology and other natural sciences (92-XX) 44 Operations research, mathematical programming (90-XX) 19 Probability theory and stochastic processes (60-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Functional analysis (46-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Geophysics (86-XX) 9 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 5 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Measure and integration (28-XX) 1 Information and communication theory, circuits (94-XX)