2 citations · 3 across the 5 of their papers we have counts for
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Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…
Characterization of polyconvex isotropic functions
David Wiedemann, Malte A. Peter
Polyconvexity is an important concept in the analysis of energies related to elasticity. A function is called polyconvex if it can be written as a…
Homogenisation of local colloid evolution induced by reaction and diffusion
David Wiedemann, Malte A. Peter
We consider the homogenisation of a coupled reaction-diffusion process in a porous medium with evolving microstructure. A concentration-dependent reaction rate at the interface of…
Homogenisation of the Stokes equations for evolving microstructure
David Wiedemann, Malte A. Peter
We consider the homogenisation of the Stokes equations in a porous medium which is evolving in time. At the interface of the pore space and the solid part, we prescribe an inhomoge…
The two-scale transformation method
David Wiedemann
We prove the two-scale transformation method which allows rigorous homogenisation of problems defined on locally periodic domains by transformation on periodic domains. The idea to…