Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space

2021/01/25 by Liu, Chun, Sulzbach, Jan-Eric · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.10419

Abstract

We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a general system modeling the evolution of a non-isothermal chemical reaction with general mass kinetics. From this we recover a linearized model for a system close to equilibrium and we analyze the global-in-time well-posedness of the system for small initial data for a critical Besov space.

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• Energetic Derivation and Geometric Reduction of Reaction-Diffusion Systems with Holling-Type Functional Responses

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