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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… Click to show full 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.
Keywords:
reaction diffusion;
reaction;
besov space;
critical besov;
well posedness;
diffusion equation
Journal Title: Journal of Differential Equations
Year Published: 2022
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!