Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model

Uniform in time solutions for a chemotaxis with potential consumption model

(2022) André Luiz Corrêa Vianna Filho et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes

(2021) F. Guillén-González et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Comparison of two finite element schemes for a chemo-repulsion system with quadratic production

(2021) F. Guillén-González et al.   APPLIED NUMERICAL MATHEMATICS

Numerical analysis for a chemotaxis-Navier-Stokes system

(2020) Abelardo Duarte-Rodríguez et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditionally energy-stable fully discrete scheme

(2020) F. Guillén-González et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes

(2020) F. Guillén-González et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Unconditionally energy stable fully discrete schemes for a chemo-repulsion model

(2019) Francisco Guillen-Gonzalez et al.   MATHEMATICS OF COMPUTATION

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

(2015) N. Bellomo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

(2012) Michael Winkler   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

(2011) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Boundedness in a chemotaxis model with oxygen consumption by bacteria

(2011) Youshan Tao   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS