9 papers · 1 filter
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…
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…
Boundedness for reaction-diffusion systems with Lyapunov functions and intermediate sum conditions
Jeff Morgan, Bao Quoc Tang
We study the uniform boundedness of solutions to reaction-diffusion systems possessing a Lyapunov-like function and satisfying an {\it intermediate sum condition}. This significant…
Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions
Klemens Fellner, Jeff Morgan, Bao Quoc Tang
Uniform-in-time bounds of nonnegative classical solutions to reaction-diffusion systems in all space dimension are proved. The systems are assumed to dissipate the total mass and t…