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主讲教师:王征平 人气:274 更新时间: 2019年12月12日 Abstract:Inthistalk,wegivesomerecentresultsontheexistenceofgroundstatefornonlinearSchr?dinger-Poisson-Slaterequationwithunboundedpotential.ByusingEkeland’svariationalprincipleweprovethatthereexistsagroundstatewithnegativeenergylevel.ForthespecialcaseofSchr?dinger-Poisson-Slaterequationwithharmonicpotential,weshowthatthegroundstatemustbenonradial. 主讲教师:王征平 人气:904 更新时间: 2016年12月09日 Abstract:Inthistalk,wepresentsomerecentresultsonthestabilityoftravelingwavesofthreedimensionalGross-Pitaevskii(GP)equation.TheGPequationisanonlinearSchrodingerequationwithnonzeroconditionatinfinity,whichhastravelingwaveswithnon-vanishinglimitatinfinity,firstdiscoveredbyphysicists(Jones,Robertsetal.)in1980s.TheexistenceofsuchtravelingwaveshasbeenstudiedalotinrecentyearsbyBetheul,Saut,Marisandmanyothers.However,thestabilityanddynamicalbehaviorsofthesetravelingwavesarenotwellunderstood.IncollaborationwithprofessorsZhiwuLinandChongchunZengatGeorgiaTech,weprovedanonlinearstabilitycriterionfor3DtravelingwavesofGPequationasconjecturedinthephysicalliterature. 共2条记录,每页显示10条,到第页 [首页] [上一页] [下一页] [尾页]
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