Quasineutral Limit of the Schr"odinger-Poisson System in Coulomb Gauge

Journal of Mathematical Sciences

Wong, Yau-Shu¹  Wu, Kung-Chien¹  Lin, Chi-Kun¹ 

关键词: Schr"odinger-Poisson system;    Coulomb gauge;    rotating incompressible Euler equations;    quasi-neutral limit.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

ThezeroDebyelengthasymptoticoftheSchr"odinger-PoissonsysteminCoulombgaugeforill-preparedinitialdataisstudied.WeprovethatwhenthescaledDebyelength$lao0$,thecurrentdensitydefinedbythesolutionoftheSchr"odinger-PoissonsystemintheCoulombgaugeconvergestothesolutionoftherotatingincompressibleEulerequationplusafastsingularoscillatinggradientvectorfield.

【 授权许可】

Unknown