一类可压缩燃烧方程的渐近极限

王姝

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一类可压缩燃烧方程的渐近极限

应用基础研究 | 更新时间：2026-09-14

- 一类可压缩燃烧方程的渐近极限
- The Asymptotic Limit for a Class of Compressible Combustion Flow
- 中北大学学报（自然科学版） 2012年33卷第6期页码：632-637
- 作者机构：
  
  太原科技大学应用科学学院
- 作者简介：
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- 纸质出版：2012
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王姝. 一类可压缩燃烧方程的渐近极限[J]. 中北大学学报（自然科学版）, 2012,33(6):632-637.

王姝. The Asymptotic Limit for a Class of Compressible Combustion Flow[J]. 2012, 33(6): 632-637.
王姝. 一类可压缩燃烧方程的渐近极限[J]. 中北大学学报（自然科学版）, 2012,33(6):632-637. DOI：

王姝. The Asymptotic Limit for a Class of Compressible Combustion Flow[J]. 2012, 33(6): 632-637. DOI：

摘要

采用能量估计和Helmholtz分解的方法

证明了在二维或三维空间上当马赫数趋于零时

一类可压缩燃烧方程的解收敛到相应的不可压缩燃烧方程的解.文中对外力、速度和时间没有限制

只是要求方程的初值足够光滑.

Abstract

It was proved that the compressible combustion flow in two and three space dimensions converges to the incompressible combustion flow in the limit as the Mach number tends to zero by using energy estimates and Helmholtz decomposition.No smallness restrictions were imposed on the external force

the initial velocity

or the time interval.We assumed instead that the initial values were reasonably smooth on a given time interval.

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references

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