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math.AP2021★ 1 cited
Exponential convergence to equilibrium for coupled systems of nonlinear degenerate drift diffusion equations
Lisa Beck, Daniel Matthes, Martina Zizza
We study the existence and long-time asymptotics of weak solutions to a system of two nonlinear drift-diffusion equations that has a gradient flow structure in the Wasserstein dist…
math.AP2021
Eigendamage: an Eigendeformation model for the variational approximation of cohesive fracture -- a one-dimensional case study
Veronika Auer-Volkmann, Lisa Beck, Bernd Schmidt
We study an approximation scheme for a variational theory of cohesive fracture in a one-dimensional setting. Here, the energy functional is approximated by a family of functionals…