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arXiv · 2101.10419

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

Chun Liu·Jan-Eric Sulzbach
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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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Chun Liu, Jan-Eric Sulzbach. 2021-01-25. Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space. https://arxiv.org/abs/2101.10419

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