Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
From MaRDI portal
Publication:2402902
DOI10.3934/dcds.2017279zbMath1375.76019arXiv1410.7483OpenAlexW2963501232MaRDI QIDQ2402902
Publication date: 15 September 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.7483
Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (9)
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates ⋮ The global existence and a decay estimate of solutions to the Phan-Thein-Tanner model ⋮ Pointwise space-time estimates of compressible Oldroyd-B model ⋮ Stability and exponential decay for the compressible Oldroyd-B model with non-small coupling parameter ⋮ The Cauchy problem for an Oldroyd-B model in three dimensions ⋮ Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data ⋮ Global wellposedness and large time behavior of solutions to the \(N\)-dimensional compressible Oldroyd-B model ⋮ Global well-posedness and decay rates for the three-dimensional compressible Phan-Thein-Tanner model ⋮ Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters
- A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations
- Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
- Global existence results for Oldroyd-B fluids in exterior domains
- On 2D viscoelasticity with small strain
- Global well-posedness for compressible viscoelastic fluids near equilibrium
- Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- 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
- Remarks on the blowup criteria for Oldroyd models
- The Navier-Stokes initial value problem in \(L^ p\).
- A generalization of a theorem by Kato on Navier-Stokes equations
- 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
- On the global and periodic regular flows of viscoelastic fluids with a differential constitutive law
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- On the Navier-Stokes initial value problem. I
- Incompressible limit of Oldroyd-B fluids in the whole space
- Global existence for a 2D incompressible viscoelastic model with small strain
- Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces
- A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regime
- About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
- Strong solutions of 3D compressible Oldroyd-B fluids
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
- 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
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- 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
- On hydrodynamics of viscoelastic fluids
- Well-posedness for the Navier-Stokes equations
This page was built for publication: Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
