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Bendahmane, Mostafa

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Author ID: bendahmane.mostafa Recent zbMATH articles by "Bendahmane, Mostafa"
Published as: Bendahmane, Mostafa; Bendahmane, M.
Documents Indexed: 79 Publications since 2002
Co-Authors: 48 Co-Authors with 76 Joint Publications
1,239 Co-Co-Authors
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Serials

7 Networks and Heterogeneous Media
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Mathematical Methods in the Applied Sciences
3 Journal of Mathematical Analysis and Applications
3 Journal of Differential Equations
3 Acta Applicandae Mathematicae
3 Discrete and Continuous Dynamical Systems. Series B
2 Computers & Mathematics with Applications
2 IMA Journal of Numerical Analysis
2 Applied Numerical Mathematics
2 Nonlinear Analysis. Real World Applications
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications on Pure and Applied Analysis
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 SIAM Journal on Control and Optimization
1 Zeitschrift für Analysis und ihre Anwendungen
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Potential Analysis
1 Topological Methods in Nonlinear Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Advances in Differential Equations
1 Revista Matemática Complutense
1 Journal of Evolution Equations
1 Computational Methods in Applied Mathematics
1 Journal of Hyperbolic Differential Equations
1 Mediterranean Journal of Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Mathematical Modelling of Natural Phenomena
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 International Journal of Dynamical Systems and Differential Equations
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Epidemiologic Methods
1 Moroccan Journal of Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

70 Publications have been cited 928 times in 592 Documents Cited by Year
A reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1156.35404
Ainseba, Bedr’eddine; Bendahmane, Mostafa; Noussair, Ahmed
79
2008
Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data. Zbl 1231.35106
Bendahmane, M.; Wittbold, P.; Zimmermann, A.
64
2010
Renormalized solutions for nonlinear elliptic equations with variable exponents and \(L^1\) data. Zbl 1152.35384
Bendahmane, Mostafa; Wittbold, Petra
52
2009
Analysis of a finite volume method for a cross-diffusion model in population dynamics. Zbl 1228.65178
Andreianov, Boris; Bendahmane, Mostafa; Ruiz-Baier, Ricardo
47
2011
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162
Bendahmane, Mostafa; Karlsen, Kenneth H.
41
2006
Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data. Zbl 1134.35371
Bendahmane, Mostafa; Karlsen, Kenneth H.
40
2006
Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations. Zbl 1090.35104
Bendahmane, Mostafa; Karlsen, Kenneth H.
37
2004
On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease. Zbl 1029.35114
Bendahmane, Mostafa; Langlais, Michel; Saad, Mazen
37
2003
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.
30
2010
Well-posedness results for triply nonlinear degenerate parabolic equations. Zbl 1178.35212
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.; Ouaro, S.
27
2009
A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease. Zbl 1239.35065
Bendahmane, Mostafa; Langlais, Michel
25
2010
Finite volume methods for degenerate chemotaxis model. Zbl 1228.65179
Andreianov, Boris; Bendahmane, Mostafa; Saad, Mazen
24
2011
On a two-sidedly degenerate chemotaxis model with volume-filling effect. Zbl 1133.35061
Bendahmane, Mostafa; Karlsen, Kenneth H.; Urbano, José Miguel
23
2007
Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data. Zbl 1087.35035
Bendahmane, Mostafa; Karlsen, Kenneth H.
22
2005
Conservative cross diffusions and pattern formation through relaxation. Zbl 1179.35156
Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît
20
2009
Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438
Bendahmane, Mostafa
19
2008
Renormalized solutions of the fractional Laplace equation. Zbl 1198.35285
Alibaud, Nathaël; Andreianov, Boris; Bendahmane, Mostafa
18
2010
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding. Zbl 1178.35213
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Urbano, José Miguel
16
2009
Weak and classical solutions to predator-prey system with cross-diffusion. Zbl 1197.35134
Bendahmane, Mostafa
16
2010
Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems. Zbl 1191.35126
Andreianov, B.; Bendahmane, M.; Ouaro, S.
15
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.
14
2010
An approximation result in generalized anisotropic Sobolev spaces and applications. Zbl 1231.35065
Bendahmane, Mostafa; Chrif, Moussa; El Manouni, Said
14
2011
Convergence of a finite volume scheme for gas-water flow in a multi-dimensional porous medium. Zbl 1282.76130
Bendahmane, Mostafa; Khalil, Ziad; Saad, Mazen
13
2014
Nonlinear anisotropic elliptic and parabolic equations with variable exponents and \(L^1\) data. Zbl 1268.35053
Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Saad, Mazen
12
2013
Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations. Zbl 1090.35105
Bendahmane, Mostafa; Karlsen, Kenneth H.
11
2005
Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. Zbl 1400.65042
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai
11
2009
Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease. Zbl 1252.35053
Bendahmane, Mostafa; Saad, Mazen
11
2011
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. Zbl 1128.35039
Bendahmane, Mostafa; Karlsen, Kenneth H.
11
2006
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles
11
2011
Existence of solutions for reaction-diffusion systems with \(L^1\) data. Zbl 1036.35086
Bendahmane, M.; Langlais, M.; Saad, M.
10
2002
A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. Zbl 1206.92004
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo
10
2010
Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease. Zbl 1179.35028
Bendahmane, Mostafa; Sepúlveda, Mauricio
9
2009
A virtual element method for a nonlocal Fitzhugh-Nagumo model of cardiac electrophysiology. Zbl 1466.65116
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Sepúlveda, Mauricio
8
2020
Uniform null controllability for a degenerating reaction-diffusion system approximating a simplified cardiac model. Zbl 1328.35090
Chaves-Silva, Felipe Wallison; Bendahmane, Mostafa
8
2015
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
8
2012
Nonlinear elliptic systems with variable exponents and measure data. Zbl 06545311
Bendahmane, Mostafa; Mokhtari, Fares
8
2015
Turing pattern dynamics and adaptive discretization for a super-diffusive Lotka-Volterra model. Zbl 1338.35041
Bendahmane, Mostafa; Ruiz-Baier, Ricardo; Tian, Canrong
8
2016
Convergence of a finite volume scheme for the bidomain model of cardiac tissue. Zbl 1165.92005
Bendahmane, Mostafa; Karlsen, Kenneth H.
7
2009
Solvability analysis and numerical approximation of linearized cardiac electromechanics. Zbl 1309.74049
Andreianov, Boris; Bendahmane, Mostafa; Quarteroni, Alfio; Ruiz-Baier, Ricardo
7
2015
On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Zbl 1407.65178
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Baier, Ricardo Ruiz
6
2018
A finite volume scheme for cardiac propagation in media with isotropic conductivities. Zbl 1192.92002
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo
6
2010
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
6
2013
Mathematical and numerical analysis for predator-prey system in a polluted environment. Zbl 1262.35123
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio
6
2010
Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology. Zbl 1234.49004
Ainseba, Bedr’Eddine; Bendahmane, Mostafa; Ruiz-Baier, Ricardo
6
2012
Numerical analysis for a three interacting species model with nonlocal and cross diffusion. Zbl 1314.65115
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio
5
2015
Mathematical analysis of cardiac electromechanics with physiological ionic model. Zbl 1451.92043
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen; Talhouk, Raafat
4
2019
Kinetic-fluid derivation and mathematical analysis of the cross-diffusion-Brinkman system. Zbl 06986291
Bendahmane, Mostafa; Karami, Fahd; Zagour, Mohamed
4
2018
Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology. Zbl 1334.35415
Ainseba, Bedr’Eddine; Bendahmane, Mostafa; He, Yuan
4
2015
A predator-prey system with \(L^{1}\) data. Zbl 1012.35038
Bendahmane, M.; Saad, M.
3
2003
Entropy solution for anisotropic reaction-diffusion-advection systems with \(L^1\) data. Zbl 1065.35129
Bendahmane, Mostafa; Saad, Mazen
3
2005
A numerical analysis of a reaction-diffusion system modeling the dynamics of growth tumors. Zbl 1203.35014
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio
3
2010
Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion-fluid system. Zbl 1481.76201
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Zagour, Mohamed
3
2020
A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation. Zbl 1342.35404
Bendahmane, Mostafa; Chamakuri, Nagaiah; Comte, Eloïse; Aïnseba, Bedr’Eddine
3
2016
Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology. Zbl 1246.93018
Bendahmane, Mostafa; Chaves-Silva, Felipe Wallison
3
2012
Unfolding homogenization method applied to physiological and phenomenological bidomain models in electrocardiology. Zbl 1437.35029
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen; Talhouk, Raafat
3
2019
\(H^1\)-Perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation. Zbl 1167.35463
Coclite, Giuseppe Maria; Bendahmane, Mostafa; Karlsen, Kenneth H.
2
2006
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition. Zbl 1466.94003
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Oubbih, Omar
2
2021
An adaptive social distancing SIR model for COVID-19 disease spreading and forecasting. Zbl 1475.92166
Gounane, Said; Barkouch, Yassir; Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss
2
2021
A gradient reconstruction formula for finite volume schemes and discrete duality. Zbl 1422.65200
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.
2
2008
On 3D numerical inverse problems for the bidomain model in electrocardiology. Zbl 1362.92037
Lopez-Rincon, Alejandro; Bendahmane, Mostafa; Ainseba, Bedr’Eddine
2
2015
Elliptic equations in weighted Sobolev spaces of infinite order with \(L^1\) data. Zbl 1178.35182
Bendahmane, Mostafa; Chrif, Moussa; El Manouni, Said
1
2010
Remarks about spatially structured SI model systems with cross diffusion. Zbl 1416.35272
Anaya, Verónica; Bendahmane, Mostafa; Langlais, Michel; Sepúlveda, Mauricio
1
2019
Anisotropic doubly nonlinear degenerate parabolic equations. Zbl 1118.35326
Bendahmane, Mostafa; Karlsen, Kenneth H.
1
2006
Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue. Zbl 1480.92039
Bader, Fakhrielddine; Bendahmane, Mostafa; Saad, Mazen; Talhouk, Raafat
1
2021
Three scale unfolding homogenization method applied to cardiac bidomain model. Zbl 1477.35279
Bader, Fakhrielddine; Bendahmane, Mostafa; Saad, Mazen; Talhouk, Raafat
1
2021
Stochastically forced cardiac bidomain model. Zbl 1427.60116
Bendahmane, M.; Karlsen, K. H.
1
2019
A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion. Zbl 1443.92173
Anaya, Verónica; Bendahmane, Mostafa; Langlais, Michel; Sepúlveda, Mauricio
1
2015
Pattern formation for a reaction diffusion system with constant and cross diffusion. Zbl 1328.65189
Anaya, Verónica; Bendahmane, Mostafa; Langlais, Michel; Sepúlveda, Mauricio
1
2015
A note on entropy solutions for degenerate parabolic equations with \(L^1 \cap L^p\) data. Zbl 1255.35141
Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl
1
2012
Mathematical and numerical analysis for reaction-diffusion systems modeling the spread of early tumors. Zbl 1242.65233
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio A.
1
2009
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition. Zbl 1466.94003
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Oubbih, Omar
2
2021
An adaptive social distancing SIR model for COVID-19 disease spreading and forecasting. Zbl 1475.92166
Gounane, Said; Barkouch, Yassir; Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss
2
2021
Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue. Zbl 1480.92039
Bader, Fakhrielddine; Bendahmane, Mostafa; Saad, Mazen; Talhouk, Raafat
1
2021
Three scale unfolding homogenization method applied to cardiac bidomain model. Zbl 1477.35279
Bader, Fakhrielddine; Bendahmane, Mostafa; Saad, Mazen; Talhouk, Raafat
1
2021
A virtual element method for a nonlocal Fitzhugh-Nagumo model of cardiac electrophysiology. Zbl 1466.65116
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Sepúlveda, Mauricio
8
2020
Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion-fluid system. Zbl 1481.76201
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Zagour, Mohamed
3
2020
Mathematical analysis of cardiac electromechanics with physiological ionic model. Zbl 1451.92043
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen; Talhouk, Raafat
4
2019
Unfolding homogenization method applied to physiological and phenomenological bidomain models in electrocardiology. Zbl 1437.35029
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen; Talhouk, Raafat
3
2019
Remarks about spatially structured SI model systems with cross diffusion. Zbl 1416.35272
Anaya, Verónica; Bendahmane, Mostafa; Langlais, Michel; Sepúlveda, Mauricio
1
2019
Stochastically forced cardiac bidomain model. Zbl 1427.60116
Bendahmane, M.; Karlsen, K. H.
1
2019
On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Zbl 1407.65178
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Baier, Ricardo Ruiz
6
2018
Kinetic-fluid derivation and mathematical analysis of the cross-diffusion-Brinkman system. Zbl 06986291
Bendahmane, Mostafa; Karami, Fahd; Zagour, Mohamed
4
2018
Turing pattern dynamics and adaptive discretization for a super-diffusive Lotka-Volterra model. Zbl 1338.35041
Bendahmane, Mostafa; Ruiz-Baier, Ricardo; Tian, Canrong
8
2016
A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation. Zbl 1342.35404
Bendahmane, Mostafa; Chamakuri, Nagaiah; Comte, Eloïse; Aïnseba, Bedr’Eddine
3
2016
Uniform null controllability for a degenerating reaction-diffusion system approximating a simplified cardiac model. Zbl 1328.35090
Chaves-Silva, Felipe Wallison; Bendahmane, Mostafa
8
2015
Nonlinear elliptic systems with variable exponents and measure data. Zbl 06545311
Bendahmane, Mostafa; Mokhtari, Fares
8
2015
Solvability analysis and numerical approximation of linearized cardiac electromechanics. Zbl 1309.74049
Andreianov, Boris; Bendahmane, Mostafa; Quarteroni, Alfio; Ruiz-Baier, Ricardo
7
2015
Numerical analysis for a three interacting species model with nonlocal and cross diffusion. Zbl 1314.65115
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio
5
2015
Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology. Zbl 1334.35415
Ainseba, Bedr’Eddine; Bendahmane, Mostafa; He, Yuan
4
2015
On 3D numerical inverse problems for the bidomain model in electrocardiology. Zbl 1362.92037
Lopez-Rincon, Alejandro; Bendahmane, Mostafa; Ainseba, Bedr’Eddine
2
2015
A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion. Zbl 1443.92173
Anaya, Verónica; Bendahmane, Mostafa; Langlais, Michel; Sepúlveda, Mauricio
1
2015
Pattern formation for a reaction diffusion system with constant and cross diffusion. Zbl 1328.65189
Anaya, Verónica; Bendahmane, Mostafa; Langlais, Michel; Sepúlveda, Mauricio
1
2015
Convergence of a finite volume scheme for gas-water flow in a multi-dimensional porous medium. Zbl 1282.76130
Bendahmane, Mostafa; Khalil, Ziad; Saad, Mazen
13
2014
Nonlinear anisotropic elliptic and parabolic equations with variable exponents and \(L^1\) data. Zbl 1268.35053
Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Saad, Mazen
12
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
6
2013
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
8
2012
Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology. Zbl 1234.49004
Ainseba, Bedr’Eddine; Bendahmane, Mostafa; Ruiz-Baier, Ricardo
6
2012
Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology. Zbl 1246.93018
Bendahmane, Mostafa; Chaves-Silva, Felipe Wallison
3
2012
A note on entropy solutions for degenerate parabolic equations with \(L^1 \cap L^p\) data. Zbl 1255.35141
Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl
1
2012
Analysis of a finite volume method for a cross-diffusion model in population dynamics. Zbl 1228.65178
Andreianov, Boris; Bendahmane, Mostafa; Ruiz-Baier, Ricardo
47
2011
Finite volume methods for degenerate chemotaxis model. Zbl 1228.65179
Andreianov, Boris; Bendahmane, Mostafa; Saad, Mazen
24
2011
An approximation result in generalized anisotropic Sobolev spaces and applications. Zbl 1231.35065
Bendahmane, Mostafa; Chrif, Moussa; El Manouni, Said
14
2011
Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease. Zbl 1252.35053
Bendahmane, Mostafa; Saad, Mazen
11
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
11
2011
Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data. Zbl 1231.35106
Bendahmane, M.; Wittbold, P.; Zimmermann, A.
64
2010
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.
30
2010
A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease. Zbl 1239.35065
Bendahmane, Mostafa; Langlais, Michel
25
2010
Renormalized solutions of the fractional Laplace equation. Zbl 1198.35285
Alibaud, Nathaël; Andreianov, Boris; Bendahmane, Mostafa
18
2010
Weak and classical solutions to predator-prey system with cross-diffusion. Zbl 1197.35134
Bendahmane, Mostafa
16
2010
Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems. Zbl 1191.35126
Andreianov, B.; Bendahmane, M.; Ouaro, S.
15
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.
14
2010
A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. Zbl 1206.92004
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo
10
2010
A finite volume scheme for cardiac propagation in media with isotropic conductivities. Zbl 1192.92002
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo
6
2010
Mathematical and numerical analysis for predator-prey system in a polluted environment. Zbl 1262.35123
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio
6
2010
A numerical analysis of a reaction-diffusion system modeling the dynamics of growth tumors. Zbl 1203.35014
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio
3
2010
Elliptic equations in weighted Sobolev spaces of infinite order with \(L^1\) data. Zbl 1178.35182
Bendahmane, Mostafa; Chrif, Moussa; El Manouni, Said
1
2010
Renormalized solutions for nonlinear elliptic equations with variable exponents and \(L^1\) data. Zbl 1152.35384
Bendahmane, Mostafa; Wittbold, Petra
52
2009
Well-posedness results for triply nonlinear degenerate parabolic equations. Zbl 1178.35212
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.; Ouaro, S.
27
2009
Conservative cross diffusions and pattern formation through relaxation. Zbl 1179.35156
Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît
20
2009
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding. Zbl 1178.35213
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Urbano, José Miguel
16
2009
Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. Zbl 1400.65042
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai
11
2009
Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease. Zbl 1179.35028
Bendahmane, Mostafa; Sepúlveda, Mauricio
9
2009
Convergence of a finite volume scheme for the bidomain model of cardiac tissue. Zbl 1165.92005
Bendahmane, Mostafa; Karlsen, Kenneth H.
7
2009
Mathematical and numerical analysis for reaction-diffusion systems modeling the spread of early tumors. Zbl 1242.65233
Anaya, Verónica; Bendahmane, Mostafa; Sepúlveda, Mauricio A.
1
2009
A reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1156.35404
Ainseba, Bedr’eddine; Bendahmane, Mostafa; Noussair, Ahmed
79
2008
Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438
Bendahmane, Mostafa
19
2008
A gradient reconstruction formula for finite volume schemes and discrete duality. Zbl 1422.65200
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.
2
2008
On a two-sidedly degenerate chemotaxis model with volume-filling effect. Zbl 1133.35061
Bendahmane, Mostafa; Karlsen, Kenneth H.; Urbano, José Miguel
23
2007
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162
Bendahmane, Mostafa; Karlsen, Kenneth H.
41
2006
Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data. Zbl 1134.35371
Bendahmane, Mostafa; Karlsen, Kenneth H.
40
2006
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. Zbl 1128.35039
Bendahmane, Mostafa; Karlsen, Kenneth H.
11
2006
\(H^1\)-Perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation. Zbl 1167.35463
Coclite, Giuseppe Maria; Bendahmane, Mostafa; Karlsen, Kenneth H.
2
2006
Anisotropic doubly nonlinear degenerate parabolic equations. Zbl 1118.35326
Bendahmane, Mostafa; Karlsen, Kenneth H.
1
2006
Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data. Zbl 1087.35035
Bendahmane, Mostafa; Karlsen, Kenneth H.
22
2005
Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations. Zbl 1090.35105
Bendahmane, Mostafa; Karlsen, Kenneth H.
11
2005
Entropy solution for anisotropic reaction-diffusion-advection systems with \(L^1\) data. Zbl 1065.35129
Bendahmane, Mostafa; Saad, Mazen
3
2005
Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations. Zbl 1090.35104
Bendahmane, Mostafa; Karlsen, Kenneth H.
37
2004
On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease. Zbl 1029.35114
Bendahmane, Mostafa; Langlais, Michel; Saad, Mazen
37
2003
A predator-prey system with \(L^{1}\) data. Zbl 1012.35038
Bendahmane, M.; Saad, M.
3
2003
Existence of solutions for reaction-diffusion systems with \(L^1\) data. Zbl 1036.35086
Bendahmane, M.; Langlais, M.; Saad, M.
10
2002
all top 5

Cited by 755 Authors

41 Bendahmane, Mostafa
27 Saad, Mazen
22 Zhan, Huashui
19 Ruiz-Baier, Ricardo
17 Ouaro, Stanislas
14 Andreianov, Boris
14 Shangerganesh, Lingeshwaran
12 Mokhtari, Fares
10 Balachandran, Krishnan
10 Hjiaj, Hassane
10 Karlsen, Kenneth Hvistendahl
9 Antontsev, Stanislav Nikolaevich
8 Azroul, Elhoussine
8 Bennouna, Jaouad
8 Redwane, Hicham
8 Talhouk, Raafat
8 Wittbold, Petra
7 Bürger, Raimund
7 Feng, Zhaosheng
7 Li, Chenglin
7 Quarteroni, Alfio M.
6 Ainseba, Bedr’Eddine
6 Cai, Yongli
6 Cancès, Clément
6 Gwiazda, Piotr
6 Kozhevnikova, Larisa Mikhaĭlovna
6 Tavares, Leandro S.
6 Tian, Canrong
6 Zimmermann, Alexandra
5 Aberqi, Ahmed
5 Aharrouch, Benali
5 Anaya, Verónica
5 Chamoun, Georges
5 dos Santos, Gelson C. G.
5 Figueiredo, Giovany Malcher
5 Ibrahim, Moustafa
5 Jüngel, Ansgar
5 Klimsiak, Tomasz
5 Li, Yachun
5 Moussa, Ayman
5 Quenjel, EL Houssaine
5 Saad, Bilal M.
5 Sepúlveda, Mauricio A.
5 Vétois, Jérôme
5 Wang, Weiming
5 Wu, Sainan
4 Ayadi, Hocine
4 Bell, Jonathan
4 Belmiloudi, Aziz
4 Benboubker, Mohamed Badr
4 Benkirane, Abdelmoujib
4 Benzakour Amine, M.
4 Chainais-Hillairet, Claire
4 Chamakuri, Nagaiah
4 Charkaoui, Abderrahim
4 Chaves-Silva, Felipe Wallison
4 Chlebicka, Iwona
4 Chrif, Moussa
4 Droniou, Jérôme
4 Eddine Alaa, Nour
4 El Hadfi, Youssef
4 El Hamdaoui, Bouchra
4 El Manouni, Said
4 Eymard, Robert
4 Galiano Casas, Gonzalo
4 Ghilani, Mustapha
4 Haskell, Evan C.
4 Langlais, Michel R.
4 Liu, Bin
4 Ouédraogo, Adama
4 Shmarev, Sergey I.
4 Wang, Jinfeng
4 Zhang, Chao
3 Ahmed, Ahmed
3 Ait Khellou, Mustafa
3 Akdim, Youssef
3 Akhmouch, M.
3 Allalou, Chakir
3 Almeida, Rui M. P.
3 Arumugam, Gurusamy
3 Bader, Fakhrielddine
3 Barani Balan, Natesan
3 Dede’, Luca
3 Deiva Mani, V. N.
3 Douiri, Sidi Mohamed
3 Duque, José C. M.
3 El Moumni, Mostafa
3 Hästö, Peter A.
3 Heidarkhani, Shapour
3 Hernández-Santamaría, Víctor
3 Ibrango, Idrissa
3 Karami, Fahd
3 Krell, Stella
3 Kumar, Sarvesh
3 Lepoutre, Thomas
3 Manimaran, Jeyaraj
3 Mizuta, Yoshihiro
3 Mora, David
3 Mukminov, Farit Khamzaevich
3 Niu, Weisheng
...and 655 more Authors
all top 5

Cited in 186 Serials

34 Journal of Differential Equations
28 Computers & Mathematics with Applications
25 Nonlinear Analysis. Real World Applications
21 Journal of Mathematical Analysis and Applications
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Applicable Analysis
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Journal of Elliptic and Parabolic Equations
10 Journal of Computational Physics
10 Mathematical Methods in the Applied Sciences
10 Numerical Methods for Partial Differential Equations
9 Discrete and Continuous Dynamical Systems. Series B
9 Complex Variables and Elliptic Equations
8 Applied Numerical Mathematics
8 Journal of Mathematical Sciences (New York)
8 NoDEA. Nonlinear Differential Equations and Applications
8 Boundary Value Problems
7 Journal of Computational and Applied Mathematics
7 Acta Applicandae Mathematicae
7 Journal of Scientific Computing
7 Afrika Matematika
6 Applied Mathematics and Computation
6 Mathematics and Computers in Simulation
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Networks and Heterogeneous Media
5 Discrete and Continuous Dynamical Systems
5 Mediterranean Journal of Mathematics
4 Journal of Mathematical Biology
4 Physica A
4 Calcolo
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 SIAM Journal on Mathematical Analysis
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Electronic Journal of Differential Equations (EJDE)
4 Abstract and Applied Analysis
4 Cubo
4 Mathematical Biosciences and Engineering
4 Journal of Nonlinear Evolution Equations and Applications
4 Nonautonomous Dynamical Systems
4 Advances in Operator Theory
3 Archive for Rational Mechanics and Analysis
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematics of Computation
3 Chaos, Solitons and Fractals
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Ricerche di Matematica
3 European Journal of Applied Mathematics
3 Applied Mathematical Modelling
3 Communications in Partial Differential Equations
3 Journal of Nonlinear Science
3 Applicationes Mathematicae
3 Advances in Computational Mathematics
3 Discrete Dynamics in Nature and Society
3 Communications in Nonlinear Science and Numerical Simulation
3 Mathematical Modelling and Analysis
3 Journal of Evolution Equations
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Mathematical Modelling of Natural Phenomena
3 Discrete and Continuous Dynamical Systems. Series S
3 International Journal of Differential Equations
3 Advances in Nonlinear Analysis
3 Journal of Function Spaces
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of the Franklin Institute
2 Bulletin of Mathematical Biology
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Functional Analysis
2 Le Matematiche
2 Mathematische Nachrichten
2 Numerical Functional Analysis and Optimization
2 Results in Mathematics
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Dynamics and Differential Equations
2 Potential Analysis
2 Topological Methods in Nonlinear Analysis
2 Filomat
2 Journal of Convex Analysis
2 Advances in Differential Equations
2 Chaos
2 Revista Matemática Complutense
2 Journal of Biological Systems
2 Computational Methods in Applied Mathematics
2 Advanced Nonlinear Studies
2 Communications on Pure and Applied Analysis
2 Milan Journal of Mathematics
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Acta Numerica
2 Advances in Difference Equations
2 Analysis and Mathematical Physics
2 Mathematical Control and Related Fields
2 S\(\vec{\text{e}}\)MA Journal
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 AIMS Mathematics
1 Communications in Mathematical Physics
...and 86 more Serials

Citations by Year