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Research Article | Open Access

Stabilization effect of the viscoelastic stress tensor on the compressible Oldroyd-B model

School of Mathematics and Statistics, North China University of Water Resources and Eletric Power, Zhengzhou 450046, China
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Abstract

By using the delicate energy method, we prove the global existence and stability of solutions to an inviscid compressible Oldroyd-B model near an equilibrium state in a periodic domain. Especially, the result justify the stabilization effect of elasticity on the compressible flows.

Keywords

stabilitycompressible Oldroyd-B modeldecay ratedelicate energy method

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Electronic Research Archive
Volume 34 Issue 3,
March 2026
Pages 1917-1938
DOI: 10.3934/era.2026086

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Wang Y. Stabilization effect of the viscoelastic stress tensor on the compressible Oldroyd-B model. Electronic Research Archive, 2026, 34(3): 1917-1938. https://doi.org/10.3934/era.2026086

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Received: 17 January 2026
Revised: 10 February 2026
Accepted: 16 February 2026
Published: 03 March 2026
©2026 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)