Global solutions to the 2-dimensional incompressible Oldroyd-B model with hybrid dissipation and partial damping on stress tensor

DOI10.1007/s00025-020-01331-zzbMath1466.76005OpenAlexW3121014815MaRDI QIDQ2034861

Qianjun He, Chao Deng, Yan, Dunyan

Publication date: 23 June 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01331-z

zbMATH Keywords

Sobolev spacewell-posednesscurl-div free tensorfrequency dissipationpartial dampingtrace-free tensor

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Cites Work

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• Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
• Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
• Global solutions for some Oldroyd models of non-Newtonian flows
• Global existence in critical spaces for compressible Navier-Stokes equations
• Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress
• Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism
• Global wellposedness to the generalized Oldroyd type models in \(\mathbb{R}^3\)
• Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
• Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data
• Fourier Analysis and Nonlinear Partial Differential Equations
• Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids
• Existence results for the flow of viscoelastic fluids with a differential constitutive law
• Global Regularity for Some Oldroyd‐B Type Models
• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type

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