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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…
2D incompressible inviscid Oldroyd-B equations: ill-posedness, long time existence, and high Weissenberg number limit
Xin Liu, Weinan Wang
In this paper, we consider the high-Weissenberg number limit of a Voigt-regularized two-dimensional Oldroyd-B model for viscoelastic fluids. We first demonstrate that the Euler-Old…
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.…
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…
Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
Xin Liu, Edriss S. Titi, Zhouping Xin
This paper concerns the large time asymptotic behavior of solutions to the free boundary problem of the compressible primitive equations in atmospheric dynamics with physical vacuu…