Theoretical and numerical results for a chemorepulsion model with non-constant diffusion coefficients
From MaRDI portal
Publication:1981648
DOI10.1007/978-3-030-68144-9_2zbMath1478.92029OpenAlexW3159875106MaRDI QIDQ1981648
Diego Armando Rueda-Gómez, Francisco Guillén-González, Maria Angeles Rodríguez-Bellido
Publication date: 6 September 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-68144-9_2
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models
- Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
- Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme
- Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model
- Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
- Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
- Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
- Singular limits in thermodynamics of viscous fluids
- Éléments finis: théorie, applications, mise en œuvre.