4 citations · 12 across the 11 of their papers we have counts for
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On the structure of continuum thermodynamical diffusion fluxes -- A novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach
Dieter Bothe, Pierre-Etienne Druet
This paper revisits the modeling of multicomponent diffusion within the framework of thermodynamics of irreversible processes. We briefly review the two well-known main approaches,…
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…