High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

DOI10.1007/s00028-020-00616-8zbMath1481.35321arXiv2001.03703OpenAlexW3083200267MaRDI QIDQ2062824

Yanyan Li

Publication date: 3 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03703

zbMATH Keywords

dissipationnonlinear stabilityglobal existenceWeissenberg numberReynolds numbercomplex fluidOldroyd-B

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Suspensions (76T20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (12)

Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation ⋮ The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates ⋮ Global regularity for the incompressible Oldroyd-B model with only stress tensor dissipation in critical \(L^p\) framework ⋮ Time-decay rate of global solutions to the generalized incompressible Oldroyd-B model with fractional dissipation ⋮ Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D ⋮ Global regularity for Oldroyd-B model with only stress tensor dissipation ⋮ Global well-posedness of 2D incompressible Oldroyd-B model with only velocity dissipation ⋮ Global existence and decay rates of solutions to the Oldroyd-B model with stress tensor diffusion ⋮ Oldroyd-B model with high Weissenberg number and fractional velocity dissipation ⋮ Initial layer of the incompressible Oldroyd-B model for weakly viscoelastic fluids at the low Weissenberg number ⋮ Vanishing viscosity limit of the 3D incompressible Oldroyd-B model ⋮ Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only

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