On the L2 Rate of Convergence in the Limit from the Hartree to the Vlasov–Poisson Equation
发布时间：2022年10月31日
浏览次数：3310
发布者: He Liu
主讲人： Jacky Chong (PKU)
活动时间： 从 2022-11-03 16:20 到 17:20
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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 of two solutions of the Vlasov–Poisson equation, we obtain the convergence in the L2 norm of the Wigner transform of a solution of the Hartree equation with Coulomb potential to a solution of the Vlasov–Poisson equation, with a rate of convergence proportional to h. This improves the result of h^{3/4−ε} rate of convergence in L2 obtained previously. Based on a joint work with Laurent Lafleche and Chiara Saffirio.
