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- Title
Blow‐up criterion for compressible Navier–Stokes equations with degenerate viscosities.
- Authors
Song, Wenjing; Su, Wenhuo
- Abstract
In this paper, a blow‐up criterion of classical solutions to the Cauchy problem for the compressible Navier–Stokes equations with degenerate viscosities is established, as well as the shallow water equations. Moreover, we prove that the maximum norm of the gradient of velocity controls the possible breakdown of regular solutions for compressible Navier–Stokes equations with degenerate viscosities.
- Subjects
NAVIER-Stokes equations; SHALLOW-water equations; VISCOSITY; DEGENERATE differential equations; CAUCHY problem
- Publication
Mathematical Methods in the Applied Sciences, 2022, Vol 45, Issue 16, p9233
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.8300