Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2022

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2022.04.009