Finite-time blow-up of classical solutions to the non-isentropic Navier-Stokes system with gravity and some dissipation effects

Volume 10, Issue 4, August 2025 | PP. 90-101 | PDF (1277 K) | Pub. Date: September 21, 2025
DOI: 10.54647/mathematics110551 24 Downloads 439 Views

Author(s)

Wen Wang, Department of mathematics, Shandong Normal University, Jinan,China

Pengfei Zhou, Department of mathematics, Shandong Normal University, Jinan,China

Abstract
In this paper, we study the finite time blow up of classical solutions to the Navier-Stokes system under vacuum free boundary conditions with degenerate viscosity, Coriolis force, friction, capillary and gravity. We prove that under certain conditions, the classical solutions of viscous compressible fluids will not exist globally if the initial data admits an isolated mass group.

Keywords
Navier-Stokes system, gravity, vacuum, degenerate viscosity, classical solutions, blow up.

Cite this paper
Wen Wang, Pengfei Zhou, Finite-time blow-up of classical solutions to the non-isentropic Navier-Stokes system with gravity and some dissipation effects , SCIREA Journal of Mathematics. Volume 10, Issue 4, August 2025 | PP. 90-101. 10.54647/mathematics110551

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