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math.AP2020
Well-posedness analysis of multicomponent incompressible flow models
Dieter Bothe, Pierre-Etienne Druet
In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as the independence…
math.AP2020
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models
Dieter Bothe, Pierre-Etienne Druet
We consider a system of partial differential equations describing mass transport in a multicomponent isothermal compressible fluid. The diffusion fluxes obey the Fick-Onsager or Ma…