15 papers · 1 filter
Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
Klemens Fellner, Julian Fischer, Michael Kniely +1
The global existence of renormalised solutions and convergence to equilibrium for reaction-diffusion systems with non-linear diffusion are investigated. The system is assumed to ha…
Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control
William E Fitzgibbon, Jeff Morgan, Bao Quoc Tang +1
In this paper, we study unique, globally defined uniformly bounded weak solutions for a class of semilinear reaction-diffusion-advection systems. The coefficients of the differenti…
Global well-posedness for volume-surface reaction-diffusion systems
Jeff Morgan, Bao Quoc Tang
We study the global existence of classical solutions to volume-surface reaction-diffusion systems with control of mass. Such systems appear naturally from modeling evolution of con…
Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis
Laurent Desvillettes, Valeria Giunta, Jeff Morgan +1
We consider a system of reaction-diffusion equations including chemotaxis terms and coming out of the modeling of multiple sclerosis. The global existence of strong solutions to th…
Quasilinear parabolic equations with first order terms and -data in moving domains
Do Lan, Dang Thanh Son, Bao Quoc Tang +1
The global existence of weak solutions to a class of quasilinear parabolic equations with nonlinearities depending on first order terms and integrable data in a moving domain is in…
Indirect diffusion effect in degenerate reaction-diffusion systems
Amit Einav, Jeff Morgan, Bao Quoc Tang
In this work we study global well-posedness and large time behaviour for a typical reaction--diffusion system, which include degenerate diffusion, and whose non-linearities arise f…