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

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

On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms

(2019) Elisa Lankeit et al.   NONLINEARITY

Explicit lower bound of blow–up time for an attraction–repulsion chemotaxis system

(2019) Giuseppe Viglialoro   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Numerical analysis of a chemotaxis–swimming bacteria model on a general triangular mesh

(2018) Georges Chamoun et al.   APPLIED NUMERICAL MATHEMATICS

Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement

(2018) Michael Winkler   JOURNAL OF DIFFERENTIAL EQUATIONS

A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions

(2018) Ke Lin et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation

(2018) Michael Winkler   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

GLOBAL EXISTENCE AND BLOW-UP FOR A CHEMOTAXIS SYSTEM

(2017) Xueyong Chen et al.   Mathematical Modelling and Analysis

The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system

(2017) Yulan Wang et al.   MATHEMATISCHE ZEITSCHRIFT

A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data

(2017) Johannes Lankeit et al.   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

(2016) Guanyu Zhou et al.   NUMERISCHE MATHEMATIK

Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals

(2015) Michael Winkler et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Nonnegativity of exact and numerical solutions of some chemotactic models

(2013) Patrick De Leenheer et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A finite volume scheme for a Keller-Segel model with additional cross-diffusion

(2013) M. Bessemoulin-Chatard et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Stability and convergence at infinite time of several fully discrete schemes for a Ginzburg-Landau model for nematic liquid crystal flows

(2012) Mouhamadou Goudiaby et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS

(2012) CHÉRIF AMROUCHE et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model

(2011) Sabine Hittmeir et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Convergence to equilibrium for the backward Euler scheme and applications

(2010) Benoît Merlet et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

(2008) Roland Becker et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS