L1 Stability of Multi-Dimensional Discrete-Velocity Boltzmann Equations

被引：0
|
作者：
Seung-Yeal Ha
机构：
[1] University of Wisconsin-Madison,Department of Mathematics
来源：
Archive for Rational Mechanics and Analysis | 2004年 / 171卷
关键词：
Initial Data; Boltzmann Equation; Mild Solution; Stability Estimate; Characteristic Plane;
D O I：
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中图分类号：
学科分类号：
摘要：
We study the L1 stability of multi-dimensional discrete-velocity Boltzmann equations. Under suitable smallness assumption on initial data, we show that bounded mild solutions are L1 stable. For a stability estimate, we employ Bony’s multi-dimensional analysis for total interactions over characteristic planes.
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页码：25 / 42
页数：17
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