Existence and uniqueness of solution for a class of non-Newtonian fluids with non-Newtonian potential and damping

Qiu Meng; Yuanyuan Zhao; Wucai Yang; Huifang Xing

doi:10.3934/era.2023148

Electronic Research Archive (Mar 2023)

Existence and uniqueness of solution for a class of non-Newtonian fluids with non-Newtonian potential and damping

Qiu Meng ,
Yuanyuan Zhao,
Wucai Yang,
Huifang Xing

Affiliations

Qiu Meng: School of Mathematics and Statistics, Beihua University, Jilin 132013, China
Yuanyuan Zhao: School of Mathematics and Statistics, Beihua University, Jilin 132013, China
Wucai Yang: School of Mathematics and Statistics, Beihua University, Jilin 132013, China
Huifang Xing: School of Mathematics and Statistics, Beihua University, Jilin 132013, China

DOI: https://doi.org/10.3934/era.2023148
Journal volume & issue: Vol. 31, no. 5
pp. 2940 – 2958

Abstract

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This paper discusses the existence and uniqueness of local strong solution for a class of 1D non-Newtonian fluids with non-Newtonian potential and damping term. Here we allow the initial vacuum and viscosity term to be fully nonlinear.

Published in Electronic Research Archive

ISSN: 2688-1594 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
Website: https://www.aimspress.com/journal/era

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