1 citations · 1 across the 2 of their papers we have counts for
5 papers
A mathematical study of an elastic-viscous-plastic sea-ice model with the Kelvin-Voigt rheology
Daniel W. Boutros, Xin Liu, Marita Thomas +1
Motivated by the elastic-viscous-plastic (EVP) sea-ice model [E. C. Hunke and J. K. Dukowicz, J. Phys. Oceanogr., 27, 9 (1997), 1849--1867], which is used in large-scale numerical…
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.…
Energy-variational solutions for geodynamical two-phase flows -- From logarithmic to double-obstacle potentials by variational convergence
Fan Cheng, Robert Lasarzik, Marita Thomas
In [Cheng, Lasarzik, Thomas 2025 ARXIV-Preprint 2509.25508], we studied a Cahn--Hilliard two-phase model describing the flow of two viscoelastoplastic fluids in the framework of di…
Plastic limit of a viscoplastic Burgers equation -- A toy model for sea-ice dynamics
Xin Liu, Marita Thomas, Edriss S. Titi
We study the plastic Burgers equation in one space dimension, i.e., the Burgers equation featuring an additional term formally given by the p-Laplacian with p=1, or rather, by the…
Analysis of a Cahn--Hilliard model for viscoelastoplastic two-phase flows
Fan Cheng, Robert Lasarzik, Marita Thomas
We study a Cahn--Hilliard two-phase model describing the flow of two viscoelastoplastic fluids, which arises in geodynamics. A phase-field variable indicates the proportional distr…