Blow-up of Classical Solutions to the Isentropic Compressible Barotropic Navier-Stokes-Langevin-Korteweg Equations
Year: 2022
Author: Ke Hu
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 78–86
Abstract
In this paper, we study the barotropic Navier-Stokes-Langevin-Korteweg system in $\mathbb{R}^{3}$. Assuming the derivatives of the square root of the density and the velocity field decay to zero at infinity, we can prove the classical solutions blow up in finite time when the initial energy has a certain upper bound. We obtain this blow up result by a contradiction argument based on the conservation of the total mass and the total quasi momentum.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n1.5
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 78–86
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Navier-Stokes-Langevin-Korteweg system classical solutions blow up.