Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation
Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation
复制标题
松弛平衡律双曲系统 BV 解的渐近行为
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发表时间：
2015
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通讯作者：
C. Dafermos
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文献类型：
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作者：
C. Dafermos
对于一维空间中的双曲型弛豫过程平衡律方程组，当源具有非负熵产生且满足Kawashima型条件时，当初始数据在（-∞，∞）上具有小的全变差且迅速衰减到零时，|X| → ∞，则柯西问题存在唯一的容许BV解，且当t → ∞时，总变差衰减到零.
For hyperbolic systems of balance laws governing relaxation processes, in one space dimension, with source incurring nonnegative entropy production and satisfying a Kawashima-type condition, it is shown that when the initial data have small total variation on (-∞, ∞) and decay rapidly to zero, as |x| → ∞, then the Cauchy problem possesses a unique admissible BV solution, in the large, with total variation decaying to zero, as t → ∞.