10 citations · 13 across the 8 of their papers we have counts for
8 papers · 1 filter
Existence of weak solutions and regular solutions to the incompressible Schrödinger flow
Bo Chen, Guangwu Wang, Youde Wang
In this paper, we are concerned with the initial-Neumann boundary value problem of the Schrödinger flow for maps from a smooth bounded domain in an Euclidean space into $\mathbb{S}…
Global existence of weak solutions for Landau-Lifshitz equation with helical derivatives
Bo Chen, Zhen Qiu
In this paper, we investigate the chiral boundary value problem for the Landau-Lifshitz equation with helical derivatives. By introducing Sobolev spaces adapted to the helical deri…
Novel Self-similar Finite-time Blowups with Singular Profiles of the 1D Hou-Luo Model and the 2D Boussinesq Equations: A Numerical Investigation
Bojin Chen, De Huang, Xiangyuan Li
We present novel self-similar finite-time blowup scenarios for the 1D Hou--Luo model. We numerically demonstrate that solutions that initially satisfy certain derivative degeneracy…
Local well-posedness of the Schrödinger flow into with natural boundary conditions
Bo Chen, Youde Wang
In this paper, we develop a new approximation scheme to solve the local well-posedness problem for the Schrödinger flow into the standard unit 2-sphere $\mathbb{S}^2\subset\mathbb{…
Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in into
Bo Chen, Youde Wang
In this paper, we show the existence and uniqueness of local regular solutions to the initial-Neumann boundary value problem of Schrödinger flow from a smooth bounded domain $Ω\sub…
Smooth solutions to the Schrödinger flow for maps from smooth bounded domains in Euclidean spaces into
Bo Chen, Youde Wang
The results of this paper are twofold. One is that we show the local existence and uniqueness of very regular or smooth solution to the initial-Neumann boundary value problem of th…
Very regular solution to Landau-Lifshitz system with spin-polarized transport
Bo Chen, Youde Wang
In this paper, we provide a precise description of the compatibility conditions for the initial data so that one can show the existence and uniqueness of regular short-time solutio…
Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional
Bo Chen, Youde Wang
We follow the idea of Wang \cite{W} to show the existence of global weak solutions to the Cauchy problems of Landau-Lifshtiz type equations and related heat flows from a -dimens…