In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations in the so-called quasi-neutral regime. The convergence is rigorously proved for time intervals on...In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations in the so-called quasi-neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative-entropy method.展开更多
基金the Special Funds of State Major Basic Research Projects(Grant 1999075107)The Grant of NSAF(No.10276036)+4 种基金NSFC(Grant 10431060)Tianyuan Youth Funds of China(Grant 10426030)NSFC(Grant 10501047)Nanjing University Talent Development FoundationNSFC(Grant 10471009)
文摘In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations in the so-called quasi-neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative-entropy method.
