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Publications Influence

Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations

- M. Bendahmane, K. H. Karlsen
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 2004

TLDR

67 7- PDF

Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue

- M. Bendahmane, K. H. Karlsen
- Computer Science, Mathematics
- Networks Heterog. Media
- 2006

TLDR

78 6- PDF

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations

- B. Andreianov, M. Bendahmane, K. Karlsen
- Mathematics
- 7 January 2009

We consider a class of doubly nonlinear degenerate hyperbolic-parabolic equations with homogeneous Dirichlet boundary conditions, for which we first establish the existence and uniqueness of entropy… Expand

50 6- PDF

Renormalized solutions for a nonlinear parabolic equation with variable exponents and l(1)-data

- M. Bendahmane, P. Wittbold, A. Zimmermann
- Mathematics
- 15 September 2010

Abstract We prove the well-posedness (existence and uniqueness) of a renormalized solution to nonlinear parabolic equations with variable exponents and L 1 -data. The functional setting involves… Expand

61 6- PDF

A reaction–diffusion system modeling predator–prey with prey-taxis

- B. Ainseba, M. Bendahmane, A. Noussair
- Mathematics
- 1 December 2008

We are concerned with a system of nonlinear partial differential equations modeling the Lotka–Volterra interactions of predators and preys in the presence of prey-taxis and spatial diffusion. The… Expand

72 4

On 3D DDFV Discretization of Gradient and Divergence Operators: Discrete Functional Analysis Tools and Applications to Degenerate Parabolic Problems

- B. Andreianov, M. Bendahmane, Florence Hubert
- Computer Science, Mathematics
- Comput. Methods Appl. Math.
- 1 October 2013

TLDR

19 4

Conservative cross diffusions and pattern formation through relaxation

- M. Bendahmane, Thomas Lepoutre, +4 authors Benoît Perthame
- Mathematics
- 1 December 2009

Abstract This paper is aimed at studying the formation of patches in a cross-diffusion system without reaction terms when the diffusion matrix can be negative but with positive self-diffusion. We… Expand

38 3

Finite volume methods for degenerate chemotaxis model

- B. Andreianov, M. Bendahmane, M. Saad
- Mathematics, Computer Science
- J. Comput. Appl. Math.
- 1 May 2011

TLDR

35 3- PDF

On some anisotropic reaction-diffusion systems with L1-data modeling the propagation of an epidemic disease

- Mostafa Bendahmane, M. Bendahmane, Michel Langlais, M. Saad
- Mathematics
- 1 August 2003

In this paper, we prove the existence of weak solutions for a reaction-di"usion system with general anisotropic di"usivities and transport e"ects, supplemented with either mixed boundary conditions… Expand

54 3- PDF

Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction--diffusion systems

- M. Bendahmane, R. Burger, Ricardo Ruiz Baier, K. Schneider
- Mathematics
- 9 July 2008

Spatially two-dimensional, possibly degenerate reaction-diffusion systems, with a focus on models of combustion, pattern formation and chemotaxis, are solved by a fully adaptive multiresolution… Expand

29 2- PDF