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

Source: [Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space](<https://www.sota2.com/research/paper/68fa57cc1e209131ce9a88a2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:56:36.005Z

Authors: Chun Liu, Jan-Eric Sulzbach

Published: 2021-01-25T21:13:09.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2101.10419>)

[PDF](<https://arxiv.org/pdf/2101.10419.pdf>)