Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
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Publication:3467593
DOI10.1002/cpa.21561zbMath1334.35236arXiv1312.6749OpenAlexW2084849601MaRDI QIDQ3467593
Publication date: 3 February 2016
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.6749
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Weak solutions to PDEs (35D30)
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Cites Work
- Remarks on Oldroyd-B and related complex fluid models
- Global existence for the multi-dimensional compressible viscoelastic flows
- Global well-posedness for compressible viscoelastic fluids near equilibrium
- Global solutions for incompressible viscoelastic fluids
- Global solutions for some Oldroyd models of non-Newtonian flows
- Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Compensated compactness and Hardy spaces
- Global existence of weak solutions to the FENE dumbbell model of polymeric flows
- 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
- Complex Fluids and Lagrangian Particles
- Almost global existence for 2-D incompressible isotropic elastodynamics
- The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Emergence of singular structures in Oldroyd-B fluids
- Global existence for three‐dimensional incompressible isotropic elastodynamics
- On the initial‐boundary value problem of the incompressible viscoelastic fluid system
- On hydrodynamics of viscoelastic fluids
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