13 citations · 26 across the 4 of their papers we have counts for
4 papers
Global wellposedness for a class of reaction-advection-anisotropic-diffusion systems
Dieter Bothe, André Fischer, Michel Pierre +1
We prove existence and uniqueness of global solutions for a class of reaction-advection-anisotropic-diffusion systems whose reaction terms have a "triangular structure". We thus ex…
Global existence for a class of reaction-diffusion systems with mass action kinetics and concentration-dependent diffusivities
Dieter Bothe, Guillaume Rolland
In this work we study the existence of classical solutions for a class of reaction-diffusion systems with quadratic growth naturally arising in mass action chemistry when studying…
Global existence for diffusion-electromigration systems in space dimension three and higher
Dieter Bothe, André Fischer, Michel Pierre +1
We prove existence of global weak solutions for the Nernst-Planck-Poisson problem which describes the evolution of concentrations of charged species subject to Fick…
Global well-posedness of a conservative relaxed cross diffusion system
Thomas Lepoutre, Michel Pierre, Guillaume Rolland
We prove global existence in time of solutions to relaxed conservative cross diffusion systems governed by nonlinear operators of the form $u_i\to \partial_tu_i-Δ(a_i(\tilde{u})u_i…