Existence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum-Reference-Cited by-同舟云学术

Existence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum

Published:2021-02-05 Issue:1 Volume:349 Page:29-41
ISSN:1873-7234
Container-title:Comptes Rendus. Mécanique
language:en
Short-container-title:

Author:

Xu Jianjun,Yuan Hongjun

Publisher

Cellule MathDoc/CEDRAM

Subject

Mechanics of Materials,General Materials Science

Link

https://comptes-rendus.academie-sciences.fr/mecanique/article/CRMECA_2021__349_1_29_0.pdf

Reference21 articles.

1. [1] Böhme, G. Non-Newtonian Fluid Mechanics, Applied Mathematics and Mechanics, North-Holland, Amsterdam, 1987

2. [2] Ladyzhenskaya, O. A. New equations for the description of the motions of viscous incompressible fluids, and global solvability for their boundary value problems, Boundary Value Problems of Mathematical Physics V, American Mathematical Society, Providence, RI, 1970, pp. 95-118

3. [3] Mamontov, A. Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids, Math. Notes, Volume 68 (2000), pp. 312-325

4. [4] Choe, H.; Kim, H. Strong solutions of the Navier–Stokes equations for isentropic compressible fluids, J. Differ. Equ., Volume 190 (2003), pp. 504-523

5. [5] Yuan, H.; Xu, X. Existence and uniqueness of solutions for a class of non-Newtonian fluids with singularity and vacuum, J. Differ. Equ., Volume 245 (2008), pp. 2871-2916

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