河北师范大学学报—

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刊名：河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
主办：河北师范大学
ISSN： 1000-5854
CN： 13-1061/N
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粘性可压缩反应气体的爆破

魏旭¹

唐童²

（1.河海大学理学院，江苏南京 210098；2. 扬州大学数学科学学院，江苏扬州 225002）
DOI： 10.13763/j.cnki.jhebnu.nse.202301007

Blow-up of Viscous Compressible Reacting Gas

WEI Xu¹, TANG Tong²

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摘要/Abstract

摘要：

在初始密度有紧支集且其他初值满足适当条件下，通过利用物理量之间特殊的泛函关系并结合各种不等式，证明了粘性可压缩反应气体模型的光滑解将在有限时间内爆破. 特别地,得到了初始密度的紧支集大小与解存在时间之间的关系.

Abstract：

In this paper, we prove the smooth solution of viscous compressible reactive gas model will blow-up in a finite time by using the special functional relationships between physical quantities and combining various inequalities under the condition that the initial density has compact support and the other initial values satisfy proper conditions. In particular, we obtain the relationship between the size of the compact support of initial density and the existence time.

关键词

关键词： 可压缩反应气体；爆破；紧支集

Key words： compressible reactive gas,blow-up,compact support.

参考文献 18

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