Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.04.009
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… read more here.
Keywords: reaction diffusion; reaction; besov space; critical besov ... See more keywords
Global existence in critical Besov spaces for the coupled chemotaxis–fluid equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.041
Abstract: Abstract In this paper, we are concerned with a system coupling the parabolic–parabolic Keller–Segel system to the viscous incompressible Navier–Stokes equations in spatial dimensions three, and prove the global existence of solutions with small initial… read more here.
Keywords: global existence; existence critical; critical besov; besov spaces ... See more keywords