Glimm方法对于燃烧模型含爆燃波及爆轰波解的收敛性

Abstract

Abstract:

该文对于反应速率无穷的燃烧模型组的初值问题证明了当初值狌０（狓），狕０（狓）的变差有界时，对于含爆燃（ＤＦ）波及爆轰（ＤＴ）波解的Ｇｌｉｍｍ格式的收敛性，其中犳′（狌）＞－Λ，犳′（０）＜０，犳″（狌）＞０，犳″（狌）≥δ＞０（狌≥０），常数狇＞０，以及当狌０
（狓）＞０时狕０（狓）＝０．

Key words: Ｇｌｉｍｍ格式, 燃烧模型, 爆燃（ＤＦ）波, 爆轰（ＤＴ）波

CLC Number:

35L65

YAN Ping, CHENG Wan-Cheng. The Convergence of Glimm Schemes of Deflagration and Detonation Solutions to the Simplest Combustion Model[J].Acta mathematica scientia,Series A, 2001, 21(3): 311-320.

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The Convergence of Glimm Schemes of Deflagration and Detonation Solutions to the Simplest Combustion Model

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