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math.AP2021
Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
Klemens Fellner, Julian Fischer, Michael Kniely +1
The global existence of renormalised solutions and convergence to equilibrium for reaction-diffusion systems with non-linear diffusion are investigated. The system is assumed to ha…
math.AP2019
Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model
Julian Fischer, Michael Kniely
In the computation of the material properties of random alloys, the method of "special quasirandom structures" attempts to approximate the properties of the alloy on a finite volum…