Stability for systems of conservation laws in several space dimensions
Stability for systems of conservation laws in several space dimensions
复制标题
多个空间维度的守恒定律系统的稳定性
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
C. Dafermos
中科院分区：
文献类型：
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作者：
C. Dafermos
证明了具有流量函数的多个空间变量中两个双曲型守恒律组的可容许解在[1，2]中对$p在$p处总是稳定的，且在附加假设下，也在$L^p中稳定.
It is shown that admissible $L^infty $ solutions of any system of two hyperbolic conservation laws in several space variables with flux functions whose Jacobians commute are always stable in $L^p $ for $p in [1,2]$ and, under additional assumptions, also stable in $L^infty $.