Artículo
Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes
Autor/es | Guillén González, Francisco Manuel
![]() ![]() ![]() ![]() ![]() ![]() ![]() Rodríguez Bellido, María Ángeles ![]() ![]() ![]() ![]() ![]() ![]() ![]() Rueda Gómez, Diego Armando |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2018-08-21 |
Fecha de depósito | 2023-03-06 |
Publicado en |
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Resumen | We consider the following repulsive-productive chemotaxis model: Let p∈(1,2), find u≥0, the cell density, and v≥0, the chemical concentration, satisfying in a bounded domain Ω⊆Rd, d=2,3. By using a regularization technique, ... We consider the following repulsive-productive chemotaxis model: Let p∈(1,2), find u≥0, the cell density, and v≥0, the chemical concentration, satisfying in a bounded domain Ω⊆Rd, d=2,3. By using a regularization technique, we prove the existence of solutions of this problem. Moreover, we propose three fully discrete Finite Element (FE) nonlinear approximations, where the first one is defined in the variables (u,v), and the second and third ones by introducing σ=∇v as an auxiliary variable. We prove some unconditional properties such as mass-conservation, energy-stability and solvability of the schemes. Finally, we compare the behavior of the schemes throughout several numerical simulations and give some conclusions. |
Cita | Guillén González, F.M., Rodríguez Bellido, M.Á. y Rueda Gómez, D.A. (2018). Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes. https://doi.org/10.48550/arXiv.1807.05078. |