Asymptotic decay toward the planar rarefaction waves of solutions for viscous conservation laws in several space dimensions(Nonlinear Evolution Equations and Applications)
Asymptotic decay toward the planar rarefaction waves of solutions for viscous conservation laws in several space dimensions(Nonlinear Evolution Equations and Applications)
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DOI：
10.1142/s0218202596000109
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发表时间：
1996-05
期刊：
影响因子：
--
通讯作者：
Kazuo Ito
中科院分区：
文献类型：
--
作者：
Kazuo Ito
本文给出了二维及多维空间中标量粘性守恒律方程解向平面稀疏波的渐近衰减率。这一点通过一维标量粘性守恒律方程解的衰减率的结果和带时间权的L2能量方法得到了证明。
This paper gives the asymptotic decay rate toward the planar rarefaction waves of the solutions for the scalar viscous conservation laws in two or more space dimensions. This is proved by a result on the decay rate of solutions for one-dimensional scalar viscous conservation laws and by using an L2-energy method with a weight of time.