The Oldroyd-\(\alpha\) model for the incompressible viscoelastic flow

DOI10.1007/s00605-014-0616-4zbMath1292.35238OpenAlexW2013291519MaRDI QIDQ2449430

Shuanghu Zhang, Hua Qiu

Publication date: 8 May 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0616-4

zbMATH Keywords

regularityconvergenceincompressible fluidsvisco-elastic flow

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Related Items

Global Cauchy problem for a Leray-\(\alpha\) model

Cites Work

• Unnamed Item
• Unnamed Item
• Global well-posedness for the 2D micro-macro models in the bounded domain
• Initial boundary value problems for the compressible viscoelastic fluid
• Global existence for the multi-dimensional compressible viscoelastic flows
• Global existence for a regularized magnetohydrodynamic-\(\alpha \) model
• Global existence of weak solutions to macroscopic models of polymeric flows
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Blow-up criterion for compressible visco-elasticity equations in three dimensional space
• Well-posedness in critical spaces for incompressible viscoelastic fluid system
• Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
• Global solutions for incompressible viscoelastic fluids
• Local strong solution to the compressible viscoelastic flow with large data
• The Camassa-Holm equations and turbulence
• Remarks on the blowup criteria for Oldroyd models
• The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
• Well-posedness for the dumbbell model of polymeric fluids
• Compensated compactness and Hardy spaces
• Global existence of weak solutions to the FENE dumbbell model of polymeric flows
• An introduction to continuum mechanics
• Global solutions for micro-macro models of polymeric fluids
• Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
• Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
• Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
• Commutator estimates and the euler and navier-stokes equations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Global Well-Posedness for Viscoelastic Fluid System in Bounded Domains
• On the initial‐boundary value problem of the incompressible viscoelastic fluid system
• Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
• A modified-Leray-α subgrid scale model of turbulence
• On hydrodynamics of viscoelastic fluids
• The Navier-Stokes-alpha model of fluid turbulence
• An Eulerian description of fluids containing viscoelastic particles
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory