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- Institute of Modern PhysicsCN774 papers
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6 papers · 2 filters
Existence of solutions to a generalized self-dual Chern-Simons equation on graphs
Yingshu Lü, Peirong Zhong
Let be a connected finite graph and the usual graph Laplacian. In this paper, we consider a generalized self-dual Chern-Simons equation on the graph \begin{eqn…
Global well-posedness for the 2D micropolar Rayleigh-Bénard convection problem
Sheng Wang
In this article, we study the Cauchy problem to the micropolar Rayleigh-Bénard convection problem without velocity dissipation in two dimension. We first prove the local well-posed…
Soliton resolution for the Harry Dym equation with weighted Sobolev initial data
Lin Deng, Zhenyun Qin
The soliton resolution for the Harry Dym equation is established for initial conditions in weighted Sobolev space . Combining the nonlinear steepest descent me…
Global existence for semilinear wave equations with scaling invariant damping in 3-D
Ning-An Lai, Yi Zhou
Global existence for small data Cauchy problem of semilinear wave equations with scaling invariant damping in 3-D is established in this work, assuming that the data are radial and…
Finite-time convergence of solutions of Hamilton-Jacobi equations
Kaizhi Wang, Jun Yan, Kai Zhao
Suppose that is strictly decreasing in and satisfies Tonelli conditions in . We show that each viscosity solution of can be reached by many viscosi…
Long-time asymptotic behavior of the nonlocal nonlinear Schrödinger equation with initial potential in weighted sobolev space
Meisen Chen, Engui Fan
In this paper, we are going to investigate Cauchy problem for nonlocal nonlinear Schrödinger equation with the initial potential in weighted sobolev space $H^{1,1}(\mathbb…