253 citations · 476 across the 75 of their papers we have counts for
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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.AP2014
A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations
Buyang Li
We prove that for a given smooth initial value, if the finite element solution of the three-dimensional Navier-Stokes equations is bounded in a certain norm with a relatively small…
math.AP2014
A singular integral approach to the maximal L^p regularity of parabolic equations
Buyang Li
Here we describe a simple and fundamental approach to the maximal L^p regularity of parabolic equations, which only uses the concept of singular integrals of Volterra type. Knowled…