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Improved Penalty Function Approaches for Optimization Problems with General Orthogonality
Yongshen Zhang, Xin Liu, Nachuan Xiao +1
In this paper, we consider a class of generalized orthogonal optimization constraint problems (GOOCP) over , where the variable is restricted within th…
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…
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…