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math.AP2023
Convergence to self-similar profiles in reaction-diffusion systems
Alexander Mielke, Stefanie Schindler
We study a reaction-diffusion system on the real line, where the reactions of the species are given by one reversible reaction according to the mass-action law. We describe differe…
math.AP2023
Self-Similar Pattern in Coupled Parabolic Systems as Non-Equilibrium Steady States
Alexander Mielke, Stefanie Schindler
We consider reaction-diffusion systems and other related dissipative systems on unbounded domains which would have a Liapunov function (and gradient structure) when posed on a fini…
math.AP2023
Existence of similarity profiles for diffusion equations and systems
Alexander Mielke, Stefanie Schindler
We study the existence of similarity profiles for diffusion equations and reaction diffusion systems on the real line, where the different nontrivial limits are imposed for $ x \to…