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math.AP2019★ 22 cited
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…
math.AP2019
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…
math.AP2019
Uniform boundedness for reaction-diffusion systems with mass dissipation
Brian P. Cupps, Jeff Morgan, Bao Quoc Tang
We study the global existence and uniform-in-time bounds of classical solutions in all dimensions to reaction-diffusion systems dissipating mass. By utilizing the duality method an…