In this article, we investigate an initial and boundary value problem for a class of compressible non-Newtonian fluids, provided the initial energy is small and the initial density containing the vacuum state is allowed. For $p>2$, we obtain the existence and uniqueness of the global strong solution for this problem in a one-dimensional bounded interval.
Accepted:
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Jianjun Xu ^{1}; Hongjun Yuan ^{1}
@article{CRMECA_2021__349_1_29_0, author = {Jianjun Xu and Hongjun Yuan}, title = {Existence and uniqueness of global strong solutions for a class of {non-Newtonian} fluids with small initial energy and vacuum}, journal = {Comptes Rendus. M\'ecanique}, pages = {29--41}, publisher = {Acad\'emie des sciences, Paris}, volume = {349}, number = {1}, year = {2021}, doi = {10.5802/crmeca.68}, language = {en}, }
TY - JOUR AU - Jianjun Xu AU - Hongjun Yuan TI - Existence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum JO - Comptes Rendus. Mécanique PY - 2021 SP - 29 EP - 41 VL - 349 IS - 1 PB - Académie des sciences, Paris DO - 10.5802/crmeca.68 LA - en ID - CRMECA_2021__349_1_29_0 ER -
%0 Journal Article %A Jianjun Xu %A Hongjun Yuan %T Existence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum %J Comptes Rendus. Mécanique %D 2021 %P 29-41 %V 349 %N 1 %I Académie des sciences, Paris %R 10.5802/crmeca.68 %G en %F CRMECA_2021__349_1_29_0
Jianjun Xu; Hongjun Yuan. Existence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum. Comptes Rendus. Mécanique, Volume 349 (2021) no. 1, pp. 29-41. doi : 10.5802/crmeca.68. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.68/
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