Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only

DOI10.1016/j.nonrwa.2022.103513zbMath1484.76009OpenAlexW4210591777MaRDI QIDQ2113902

Hongxia Lin, Jiahong Wu, Youhua Wei

Publication date: 14 March 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103513

zbMATH Keywords

global well-posednesspartial dissipationviscoelastic Oldroyd-B fluidexponential time decay ratetime-weighted Sobolev space

Mathematics Subject Classification ID

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

Related Items (2)

Global existence and time-decay rates of classical solutions to the generalized incompressible Oldroyd-B model in \(\mathbb{R}^3\) ⋮ Global well-posedness of 2D incompressible Oldroyd-B model with only velocity dissipation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on Oldroyd-B and related complex fluid models
• Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters
• Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
• Global weak solutions for some Oldroyd models
• Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
• Remarks on the blowup criteria for Oldroyd models
• Global solutions for some Oldroyd models of non-Newtonian flows
• On the global regularity of the 2D Oldroyd-B-type model
• Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress
• On the global and periodic regular flows of viscoelastic fluids with a differential constitutive law
• High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation
• Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion
• Optimal decay estimate of strong solutions for the 3D incompressible Oldroyd-B model without damping
• Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism
• Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems
• Global wellposedness to the generalized Oldroyd type models in \(\mathbb{R}^3\)
• Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces
• New entropy estimates for the Oldroyd-B model and related models
• 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
• Global regularity for the 2D Oldroyd-B model in the corotational case
• 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
• Newtonian Limit for Weakly Viscoelastic Fluid Flows of Oldroyd Type
• Optimal decay rates for solutions to the incompressible Oldroyd-B model in $\mathbb{R}^3$
• Analysis of Hydrodynamic Models
• On hydrodynamics of viscoelastic fluids

This page was built for publication: Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only