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math.AP2021★ 2 cited
Global well-posedness for fractional Sobolev-Galpern type equations
Huy Tuan Nguyen, Nguyen Anh Tuan, Chao Yang
This article is a comparative study on an initial-boundary value problem for a class of semilinear pseudo-parabolic equations with the fractional Caputo derivative, also called the…
math.AP2014★ 2 cited
Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra
Buyang Li, Chaoxia Yang
We study the time-dependent Ginzburg--Landau equations in a three-dimensional curved polyhedron (possibly nonconvex). Compared with the previous works, we prove existence and uniqu…
math.AP2013
Uniform BMO estimate of parabolic equations and global well-posedness of the thermistor problem
Buyang Li, Chaoxia Yang
Global well-posedness of the time-dependent (degenerate) thermistor problem remains open for many years. In this paper, we solve the problem by establishing a uniform-in-time BMO e…