time station meaning in English
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Examples
- The hyperbolic conservation laws with relaxation appear in many physical systems such as nonequilibrium gas dynamics , flood flow with friction , magnetohydrodynamics , etc . firstly , the thesis proves that there exists a unique global smooth solution for the cauthy problem to the hyperbolic conservation laws system with relaxation ; secondly , in the large time station , the thesis proves that the global smooth solutions of the hyperbolic conservation laws system with relaxation converge to rarefaction waves solution at a determined l ( p > 2 ) decay rate
带松弛项的双曲型守恒律组出现在诸多的物理系统中。例如，非平衡态的气体动力学、带摩擦的水流、磁动力学等。本文首先证明，带松弛项的双曲型守恒律组的柯西问题的整体光滑解的存在唯一性；其二，证明了带松弛项的双曲型守恒律组的解与相应的平衡态守恒律的稀疏波解在大时间状态下的l ~ p衰减率。 - In chapter 1 , the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm , there exists a unique global smooth solution for the cauthy problem ( 1 ) , ( 2 ) ; in chapter 2 , the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed , for a certain class of initial data , in the large time station , the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 )
在第一章中，研究如下带非线性松弛项的双曲组的柯西问题证明了，对c ~ 1模有界的初值，柯西问题( 1 ) ， ( 2 )存在唯一的整体光滑解。在第二章中，考虑如下带松弛项的双曲组和单守恒律方程u _ t + f ( u ) _ x 0 ， ( x ， t ) r r ~ + 。 ( 4 )当固定时，对一类初值，得到方程组( 3 )柯西问题的整体光滑解与方程( 4 )的稀疏波解间在大时间状态下的l ~ p ( p 2 )衰减率。