4 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
Incompressible limit for a fluid mixture
Pierre-Etienne Druet
In this paper we discuss the incompressible limit for multicomponent fluids in the isothermal ideal case. Both a direct limit-passage in the equation of state and the low Mach-numb…
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…
A theory of generalised solutions for ideal gas mixtures with Maxwell-Stefan diffusion
Pierre-Etienne Druet
After the pioneering work by Giovangigli on mathematics of multicomponent flows, several attempts were made to introduce global weak solutions for the PDEs describing the dynamics…
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…
Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient
Pierre-Etienne Druet, Ansgar Jüngel
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pres…