Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space
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Publication:2131783
DOI10.1016/j.jde.2022.04.009zbMath1487.35007arXiv2101.10419OpenAlexW3121384172MaRDI QIDQ2131783
Publication date: 27 April 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.10419
Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
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The global existence of strong solutions for a non-isothermal ideal gas system, Positivity of temperature for some non-isothermal fluid models
Cites Work
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- On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids
- A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems.
- A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems.
- A Lagrangian approach for the compressible Navier-Stokes equations
- Theory of Besov spaces
- Recent bibliography on extended irreversible thermodynamics and related topics (1992-1995)
- Introduction to the thermodynamics of solids.
- Non-isothermal electrokinetics: energetic variational approach
- Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency
- The Brinkman-Fourier system with ideal gas equilibrium
- Energetic variational approach in complex fluids: maximum dissipation principle
- Largest well-posed spaces for the general diffusion system with nonlocal interactions
- Fourier Analysis and Nonlinear Partial Differential Equations
- On existence of weak solution to a model describing incompressible mixtures with thermal diffusion cross effects
- Reciprocal Relations in Irreversible Processes. II.
- Singular limits in thermodynamics of viscous fluids
- Introduction to statistical physics
- Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
