Initial layer of the incompressible Oldroyd-B model for weakly viscoelastic fluids at the low Weissenberg number

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscoelastic fluids (76A10)

Cites Work

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Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters
Global existence results for Oldroyd-B fluids in exterior domains
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
Compressible fluid flow and systems of conservation laws in several space variables
Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
Remarks on the blowup criteria for Oldroyd models
Global solutions for some Oldroyd models of non-Newtonian flows
Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B 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
Vanishing viscosity limit of the 3D incompressible Oldroyd-B model
Optimal decay estimate of strong solutions for the 3D incompressible Oldroyd-B model without damping
Incompressible limit of Oldroyd-B fluids in the whole space
Global regularity for the generalized incompressible Oldroyd-B model with only stress tensor dissipation in critical 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
Strong solutions of 3D compressible Oldroyd-B fluids
Infinite Prandtl number limit of Rayleigh-Bénard convection
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
Newtonian Limit for Weakly Viscoelastic Fluid Flows of Oldroyd Type
Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model
The Cauchy problem for an Oldroyd-B model in three dimensions
On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion
Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number
Newtonian Limit for Weakly Viscoelastic Fluid Flows
Global solutions to the n-dimensional incompressible Oldroyd-B model without damping mechanism

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