Explicit exponential convergence to equilibrium for nonlinear reaction–diffusion systems with detailed balance condition

K Fellner, BQ Tang - Nonlinear Analysis, 2017 - Elsevier
The convergence to equilibrium of mass action reaction–diffusion systems arising from
networks of chemical reactions is studied. The considered reaction networks are assumed to …

Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis

L Desvillettes, V Giunta - Ricerche di Matematica, 2021 - Springer
We study in this work the global existence of solutions to a system of reaction cross diffusion
equations appearing in the modeling of multiple sclerosis, in the one-dimensional case …

A Kalman condition for the controllability of a coupled system of Stokes equations

T Takahashi, L de Teresa, Y Wu-Zhang - Journal of Evolution Equations, 2024 - Springer
We consider the controllability of a class of systems of n Stokes equations, coupled through
terms of order zero and controlled by m distributed controls. Our main result states that such …

Controllability results for cascade systems of m coupled N-dimensional stokes and Navier-stokes systems by N–1 scalar controls

T Takahashi, L de Teresa… - … : Control, Optimisation and …, 2023 - esaim-cocv.org
In this paper we deal with the controllability properties of a system of m coupled Stokes
systems or m coupled Navier-Stokes systems. We show the null-controllability of such …

Analysis of kinetic and diffusive multi-species systems

ES Daus - 2016 - repositum.tuwien.at
The objective of this thesis is the analysis of kinetic and diffusive multi-species systems with
certain cross effects between the species, which are very important in many applications in …