Globally smoothing solution to euler ' s equations with relaxation term 具松弛項的歐拉方程組的整體光滑解
Existence of global smooth solution to burger ' s equation with singular dissipation 方程整體光滑解的存在性
Viscosity methods for piecewise smooth solutions to nonhomogeneous scalar conservations laws 非齊次守恒律方程分片光滑解的粘性方法
In the second part , we mainly investigate asymptotic behavior of globally smooth solution of this model 在第二部分,我們主要研究此模型整體光滑解的漸近性態(tài)。
Using a different method , fixed point argument , from the first part , we give local existence and uniqueness of smooth solution 我們采用不同于第一部分的方法,不動點論證法,來證明局部光滑解的存在唯一性。
One is the existence of a kind of strong solution , and the other is the global existence and large time behavior of smooth solution 一方面得到了一種強解的存在性,另一方而得到了光滑解的全局存在性和大時間行為。
At some time , we also research the existence of global smooth solution of the initial boundary value problem for a class of generalized camassa - holm equations 同時還研究了一類廣義camassa ? holm方程初值問題整體解的存在性。
Roughly speaking , there exists a unique global smooth solution u ( x , t ) to the above cauchy problem with some restriction to the initial data 粗略地講就是在對初值給出適當?shù)南拗茥l件下上述cauchy問題存在唯一的整體光滑解u ( x , t ) 。
Recently , ding shijin and guo doling obtain the partial regularity of the weak solutions , whether it has global smooth solution is still an important open problem 最近丁時進、郭柏靈又證明了它的弱解的部分正則性。它是否存在整體光滑解仍然是一個懸而未決的重要的公開問題。