KINETIC SEMIDISCRETIZATION OF SCALAR CONSERVATION LAWS AND CONVERGENCE BY USING AVERAGING LEMMAS
KINETIC SEMIDISCRETIZATION OF SCALAR CONSERVATION LAWS AND CONVERGENCE BY USING AVERAGING LEMMAS
复制标题
标量守恒定律的动力学半离散化和使用平均引理的收敛性
DOI：
--
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
N. SIAMJ.
中科院分区：
文献类型：
--
作者：
N. SIAMJ.
We consider a time discrete kinetic scheme (known as “transport collapse method”) for the inviscid Burgers equation ∂tu+ ∂x u 2 = 0. We prove the convergence of the scheme by using averaging lemmas without bounded variation estimate. Then, the extension of this result to the kinetic model of Brenier and Corrias is discussed.
