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- Title
Remarks on blowup of solutions for one‐dimensional compressible Navier–Stokes equations with Maxwell's law.
- Authors
Dong, Jianwei; Zhang, Qiao; Yang, Yong
- 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.
- Subjects
NAVIER-Stokes equations; MAXWELL equations; BLOWING up (Algebraic geometry); ANALYTICAL solutions
- Publication
Mathematische Nachrichten, 2023, Vol 296, Issue 10, p4523
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.202200260