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Remarks on blowup of solutions for one‐dimensional compressible Navier–Stokes equations with Maxwell's law

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  • Jianwei Dong
  • Qiao Zhang
  • Yong Yang

Abstract

In this note, we present some blowup results of solutions to the one‐dimensional compressible Navier–Stokes equations with Maxwell's law. First, we improve the blowup result of Hu and Wang [Math. Nachr. 92 (2019), 826–840] with initial density away from vacuum by removing two restrictions. Next, we give a blowup result for the solutions with decay at far fields. Finally, we construct some special analytical solutions to exhibit the blowup or non‐blowup phenomena for the relaxed system.

Suggested Citation

  • Jianwei Dong & Qiao Zhang & Yong Yang, 2023. "Remarks on blowup of solutions for one‐dimensional compressible Navier–Stokes equations with Maxwell's law," Mathematische Nachrichten, Wiley Blackwell, vol. 296(10), pages 4523-4532, October.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:10:p:4523-4532
    DOI: 10.1002/mana.202200260
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