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

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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

stability / compressible Oldroyd-B model / decay rate / delicate energy method

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