A Blow-up Criterion for the Modified Navier–Stokes–Fourier Equations

Jishan Fan; Tohru Ozawa

doi:10.1007/s00021-019-0477-7

A Blow-up Criterion for the Modified Navier–Stokes–Fourier Equations

Jishan Fan, Tohru Ozawa^*

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We study the initial boundary value problem for the three-dimensional modified compressible Navier–Stokes–Fourier equations proposed by Brenner. We establish a blow-up criterion for local strong solutions in terms of the density ρ and the temperature θ only.

Original language	English
Article number	16
Journal	Journal of Mathematical Fluid Mechanics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/s00021-019-0477-7
Publication status	Published - 2020 Jun 1

Keywords

Blow-up criterion
Heat-conductive flows
Modified Navier–Stokes–Fourier system

ASJC Scopus subject areas

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-019-0477-7

Cite this

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title = "A Blow-up Criterion for the Modified Navier–Stokes–Fourier Equations",

abstract = "We study the initial boundary value problem for the three-dimensional modified compressible Navier–Stokes–Fourier equations proposed by Brenner. We establish a blow-up criterion for local strong solutions in terms of the density ρ and the temperature θ only.",

keywords = "Blow-up criterion, Heat-conductive flows, Modified Navier–Stokes–Fourier system",

author = "Jishan Fan and Tohru Ozawa",

note = "Funding Information: The research is partially supported by the NSFC (No. 11971234). Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

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N2 - We study the initial boundary value problem for the three-dimensional modified compressible Navier–Stokes–Fourier equations proposed by Brenner. We establish a blow-up criterion for local strong solutions in terms of the density ρ and the temperature θ only.

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KW - Heat-conductive flows

KW - Modified Navier–Stokes–Fourier system

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A Blow-up Criterion for the Modified Navier–Stokes–Fourier Equations

Abstract

Keywords

ASJC Scopus subject areas

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