Blowup criteria for strong solutions to the compressible Navier-Stokes equations with variable viscosity

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• 作者：Xiaoyun Cai^a ; ^{caixiaoyunmm@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yongzhong Sun^b ; ^{sunyz@nju.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Navier&ndash ; Stokes&ndash ; Fourier system ; Isentropic Navier&ndash ; Stokes equations ; Variable coefficients ; Strong solutions ; Blow-up criteria
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：29
• 期：Complete
• 页码：1-18
• 全文大小：619 K

文摘

For the compressible Navier–Stokes equations with viscosity and heat conductivity coefficients possibly depending on the density or temperature, several blowup criteria are given to the local-in-time strong solutions. The proof is based on energy methods together with elliptic and parabolic estimates adopted to the present situation.