253 citations · 476 across the 75 of their papers we have counts for
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Weighted regularity of fluid-structure interaction when the interface intersects the boundary
Zhaonan Dong, Tiantian Huang, Buyang Li
This paper analyzes the regularity of solutions to a fluid-structure interaction (FSI) problem involving a Stokesian fluid and a linear elastic solid in a two-dimensional polygonal…
Boundary problems for the fractional and tempered fractional operators
Weihua Deng, Buyang Li, Wenyi Tian +1
For characterizing the Brownian motion in a bounded domain: , it is well-known that the boundary conditions of the classical diffusion equation just rely on the given informatio…
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…
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…
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…
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…
Global existence of weak solution to the heat and moisture transport system in fibrous porous media
Buyang Li, Weiwei Sun, Yi Wang
This paper is concerned with theoretical analysis of a heat and moisture transfer model arising from textile industries, which is described by a degenerate and strongly coupled par…