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Research Article | Open Access

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
School of Mathematics and Statistics, Beihua University, Jilin 132013, China
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Abstract

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.

Keywords

strong solutionnon-Newtonian fluidvacuumdampingnon-Newtonian potential

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Electronic Research Archive
Volume 31 Issue 5,
May 2023
Pages 2940-2958
DOI: 10.3934/era.2023148

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Cite this article:
Meng Q, Zhao Y, Yang W, et al. Existence and uniqueness of solution for a class of non-Newtonian fluids with non-Newtonian potential and damping. Electronic Research Archive, 2023, 31(5): 2940-2958. https://doi.org/10.3934/era.2023148

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Received: 07 February 2023
Revised: 28 February 2023
Accepted: 08 March 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)