Blowup analysis for two-dimensional viscous compressible, heat-conductive Navier-Stokes equations

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• 作者：Yongfu Wang ^{wyf1247@163.com" class="auth_mail} ; Qin Zhang ; ^{zqcfl2626@gmail.com" class="auth_mail}
• 关键词：Compressible Navier&ndash ; Stokes equations ; Heat-conductive ; Blowup criterion ; Vacuum
• 刊名：Applied Mathematics and Computation
• 出版年：1 April, 2014
• 年：2014
• 卷：232
• 期：Complete
• 页码：719-726
• 全文大小：332 K

文摘

In this paper, we study the finite time blow-up mechanism of the strong solution to the two-dimensional (2D) viscous, compressible, heat-conductive Navier-Stokes system and initial vacuum states are allowed. We show that if the solution to 2D viscous compressible flows blows up in finite time, then either the mass of the compressible fluid will concentrate in some points or the compressible gas will combust in the finite time.