5 papers
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 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…
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…