On the Motion of Chemically Reacting Fluids Through Porous Medium
We consider a parabolic-hyperbolic system of nonlinear partial differential equations modeling the motion of a chemically reacting mixture through porous medium. The existence of classical as well as weak solutions is established under several physically relevant choices of the constitutive equations and relevant boundary conditions.
KeywordsChemically reacting fluid Porous medium DiPerna Lions theory
The research of E.F. leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007–2013)/ ERC Grant Agreement 320078. The Institute of Mathematics of the Academy of Sciences of the Czech Republic is supported by RVO:67985840. J.M. was supported by the project Computational methods in thermodynamics of multicomponent mixtures, KONTAKT LH12064, 2012–2015 of the Czech Ministry of Education, Youth, and Sports. H.P. was supported by the Institute of Mathematics of the Academy of Sciences of the Czech Republic, RVO:67985840. P.T. was partially supported by the Deutsche Forschungsgemeinschft (D.F.G., Germany) under Grant # TA 213 / 16-1.
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