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：

暂无

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.

引用

页码：25 / 42

页数：17

共 28 条

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[9] MODELING ERROR IN L1 FOR A HIERARCHY OF 1-D DISCRETE VELOCITY MODELS
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[10] L1 and BV-type stability of the inelastic Boltzmann equation near vacuum
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