Article
On the existence of solutions for a parabolic-ellipticchemotaxis model with flux limitation and logistic source
Author/s | Sastre Gómez, Silvia
Tello, José Ignacio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2023-01-22 |
Deposit Date | 2023-05-11 |
Published in |
|
Abstract | In this article, we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species “
” and a chemical stimulus “
” in a bounded and ... In this article, we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species “ ” and a chemical stimulus “ ” in a bounded and regular domain of . The equation for is a parabolic equation with a nonlinear second order term of chemotaxis type with flux limitation as for . The chemical substance distribution satisfies the elliptic equation The evolution of is also determined by a logistic type growth term . The system is studied under homogeneous Neumann boundary conditions. The main result of the article is the existence of uniformly bounded solutions for and any . |
Citation | Sastre Gómez, S. y Tello, J.I. (2023). On the existence of solutions for a parabolic-ellipticchemotaxis model with flux limitation and logistic source. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 46 (8), 9252-9267. https://doi.org/10.1002/mma.9050. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Math Methods in App Sciences - ... | 227.7Kb | [PDF] | View/ | |