Search

Your search keyword '"Bendahmane, Mostafa"' showing total 2 results
Start Over Author "Bendahmane, Mostafa" Topic existence Publication Year Range Last 10 years
2 results on '"Bendahmane, Mostafa"'

1. Martingale solutions of stochastic nonlocal cross-diffusion systems.

Author

Bendahmane, Mostafa and Karlsen, Kenneth H.

Subjects
MARTINGALES (Mathematics), STOCHASTIC partial differential equations, COMPETITION (Biology), STOCHASTIC systems, STOCHASTIC approximation
Abstract

We establish the existence of solutions for a class of stochastic reaction-diffusion systems with cross-diffusion terms modeling interspecific competition between two populations. More precisely, we prove the existence of weak martingale solutions employing appropriate Faedo-Galerkin approximations and the stochastic compactness method. The nonnegativity of solutions is proved by a stochastic adaptation of the well-known Stampacchia approach. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

2. Martingale solutions of stochastic nonlocal cross-diffusion systems.

Author

Bendahmane, Mostafa and Karlsen, Kenneth H.

Subjects
MARTINGALES (Mathematics), STOCHASTIC partial differential equations, COMPETITION (Biology), STOCHASTIC systems, STOCHASTIC approximation
Abstract

We establish the existence of solutions for a class of stochastic reaction-diffusion systems with cross-diffusion terms modeling interspecific competition between two populations. More precisely, we prove the existence of weak martingale solutions employing appropriate Faedo-Galerkin approximations and the stochastic compactness method. The nonnegativity of solutions is proved by a stochastic adaptation of the well-known Stampacchia approach. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results