摘要
研究Kawahara-BO方程在低则Sobolev间H^r上的局部适定性和极限行为,证明了:当r>-7/5时,对任意的初始值u_0∈H^r,Kawahara-BO方程的Cauchy问题存在唯一的解u∈C([0,T],H^r)∩X^(r,s);当BO项系数λ趋向于0时,Kawahara-BO方程的解收敛到Kawahara方程的解.
The local well-posedness in low regularity Sobolev space H^T and the limit behavior of Kawahara-BO equation are studied. In fact, it is proved that if r〉-5-7,then of any initial value u0∈H^T,the Cauchy problem of Kawahara-BO admits a unique solution u∈C([0,T]H^T)∩X^T,S;and when the ceofficient of BO term λ converges to 0, the solution of Kawahara-BO equation converges to that of Kawahara equation.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
2009年第3期306-310,共5页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
浙江省自然科学基金(Y6080388)
浙江海洋学院科研项目(X08Z04
X08M014)