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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the L2 rate of convergence in the limit from the Hartree to the Vlasov–Poisson Equation
哈特里到弗拉索夫 泊松方程 极限 L2收敛率
2023/4/13
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Homotopy perturbation method for fractional-order Burgers-Poisson equation
Homotopy perturbation Burgers-Poisson equation time derivative
2010/4/2
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit ...
Poisson Equation on Some Complete Noncompact Manifolds
Poisson equation heat equation Green's function
2007/12/11
We study the Poisson equation on some complete noncompact manifolds with asymptotically nonnegative curvature. We will also study the limiting behavior of the nonhomogeneous heat equation on some comp...