An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models

Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains

(2023) P. Braz e Silva et al.   APPLIED MATHEMATICS AND OPTIMIZATION

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

Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent

(2021) Silvia Frassu et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

On a Bi-dimensional Chemo-repulsion Model with Nonlinear Production and a Related Optimal Control Problem

(2020) Francisco Guillén-González et al.   ACTA APPLICANDAE MATHEMATICAE

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

Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension

(2019) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Optimal Bilinear control problem related to a chemo-repulsion system in 2D domains

(2019) Francisco Manuel Guillén González et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Analysis of a chemotaxis model with indirect signal absorption

(2019) Mario Fuest   JOURNAL OF DIFFERENTIAL EQUATIONS

Global weak solutions in a three-dimensional chemotaxis–Navier–Stokes system

(2016) Michael Winkler   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?

(2016) Michael Winkler   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

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

Stabilization in a two-dimensional chemotaxis-Navier–Stokes system

(2013) Michael Winkler   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

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