Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data
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Publication:2793840
DOI10.1137/15M1037020zbMath1332.76005OpenAlexW2963595308MaRDI QIDQ2793840
Publication date: 17 March 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1037020
Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
- Unnamed Item
- Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters
- Global regularity for some classes of large solutions to the Navier-Stokes equations
- Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces
- Global existence results for Oldroyd-B fluids in exterior domains
- On 2D viscoelasticity with small strain
- Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
- Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space
- Well-posedness in critical spaces for incompressible viscoelastic fluid system
- Global solutions for incompressible viscoelastic fluids
- Remarks on the blowup criteria for Oldroyd models
- 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
- Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
- Incompressible limit of Oldroyd-B fluids in the whole space
- Global strong solutions for equations related to the incompressible viscoelastic fluids with a class of large initial data
- 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
- 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
- Large, global solutions to the Navier-Stokes equations, slowly varying in one direction
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Global solution to the incompressible Oldroyd-B model in hybrid Besov spaces
- 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
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