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math.AP2026
Interface dynamics in a degenerate Cahn-Hilliard model for viscoelastic phase separation
Katharina Hopf, John King, Andreas Münch +1
The formal sharp-interface asymptotics in a degenerate Cahn-Hilliard model for viscoelastic phase separation with cross-diffusive coupling to a bulk stress variable are shown to le…
math.AP2026
Gradient-flow characterizations of one-dimensional quasistatic viscoelasticity with Bhattacharya-like viscosity
Alexander Mielke, Billy Sumners
We study the equation of one-dimensional quasistatic nonlinear viscoelasticity with Dirichlet boundary conditions, in the particular case that the underlying dissipation geometry (…
math.AP2026★ 1 cited
Global well-posedness of the elastic-viscous-plastic sea-ice model with the inviscid Voigt-regularisation
Daniel W. Boutros, Xin Liu, Marita Thomas +1
In this paper, we initiate the rigorous mathematical analysis of the elastic-viscous-plastic (EVP) sea-ice model, which was introduced in [E. C. Hunke and J. K. Dukowicz, J. Phys.…