Blow‐up criterion for the modified compressible Navier–Stokes equations with density‐dependent viscosity-Reference-Cited by-同舟云学术

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Blow‐up criterion for the modified compressible Navier–Stokes equations with density‐dependent viscosity

Published:2024-04-24 Issue:12 Volume:47 Page:10256-10267
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Hagverdiyev Ali¹,Novruzov Emil²^ORCID

Affiliation:

1. Faculty of Science, Department of Mathematics University of Miami Coral Gables Florida USA

2. Faculty of Science, Department of Mathematics Gebze Technical University Gebze/Kocaeli Turkey

Abstract

The dynamical behavior of one‐dimensional compressible Navier–Stokes equation with density‐dependent viscosity coefficient is considered. A new sufficient condition under which the solution blows up is established.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10119

Reference29 articles.

1. Geophysical Fluid Dynamics

2. Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects

3. Derivation of viscous Saint‐Venant system for laminar shallow water; numerical validation;Gerbeau J.‐F.;Discrete Contin. Dyn. Syst. Ser.,2001

4. Navier–Stokes revisited

5. Advances in Mathematical Fluid Mechanics;Feireisl E.,2009

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