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

Yajie Wang; Yajie Wang

doi:10.3934/era.2026086

Electronic Research Archive

2026, Volume 34, Issue 3: 1917-1938. doi: 10.3934/era.2026086

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Research article

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

Yajie Wang ^,

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

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

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.
- stability,
- compressible Oldroyd-B model,
- decay rate,
- delicate energy method
Citation: Yajie Wang. Stabilization effect of the viscoelastic stress tensor on the compressible Oldroyd-B model[J]. Electronic Research Archive, 2026, 34(3): 1917-1938. doi: 10.3934/era.2026086

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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.

References

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