On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion

DOI10.1137/20M1362243zbMath1501.76001OpenAlexW3211103338MaRDI QIDQ5162766

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Publication date: 5 November 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1362243

zbMATH Keywords

Fourier transformuniquenesslinearizationglobal existencecontinuity methodsmall initial datatime decayglobal-in-time well-posednessuniform-in-time estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates ⋮ Initial layer of the incompressible Oldroyd-B model for weakly viscoelastic fluids at the low Weissenberg number

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