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Research Article | Open Access

Global unique solutions for the 2-D inhomogeneous incompressible viscoelastic rate-type fluids with stress-diffusion

Xi Wang1, Xueli Ke2( )
School of Mathematics, Northwest University, Xi'an, 710127, China
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China
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Abstract

We establish the global unique solution for the 2-D inhomogeneous incompressible viscoelastic rate-type fluids with stress-diffusion by employing the standard energy method and the standard compactness arguments.

Keywords

viscoelastic rate-type fluidsenergy methodglobal unique solutionsFriedrich's methodcompactness argument
CLC number: 76A15, 35Q35, 35D30

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 29806-29819
DOI: 10.3934/math.20241443

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Cite this article:
Wang X, Ke X. Global unique solutions for the 2-D inhomogeneous incompressible viscoelastic rate-type fluids with stress-diffusion. AIMS Mathematics, 2024, 9(11): 29806-29819. https://doi.org/10.3934/math.20241443

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Received: 07 September 2024
Revised: 13 October 2024
Accepted: 15 October 2024
Published: 21 October 2024
©2024 the Author(s), licensee AIMS Press.

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