摘要
研究了Davey-Stewartson系统(简记为D-S系统)粗糙爆破解的动力学性质.所谓粗糙爆破解即为正则性为H^s(s<1)的爆破解,此时D-S系统粗糙解不再满足能量守恒率.利用I-方法与Profile分解理论,得到了D-S系统粗糙爆破解在H^s(R^2)(其中s>s_0,且s_0≤(1+11^(1/2))/5≈0.8633)中的极限行为,包括L^2强极限的不存在性与L^2集中性质以及极限图景.
This paper deals with the dynamical properties of the rough blow-up solutions, which are the solutions in the lower regular space Hs with s 〈 1, to Davey-Stewartson system: In this case, there is no conservation of energy. By using the/-method and profile decomposition argument, we obtain the limiting profile, non-existence of L2 strong limit and L2 concentration of the rough blow-up solutions in H^S(R^2) with s 〉 sn, where s0≤(1+√11)/5≈0.8633.
出处
《数学年刊(A辑)》
CSCD
北大核心
2017年第3期243-256,共14页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.11371267
No.11501395)
四川省杰出青年基金(No.2014JQ0039)的资助