Local well-posedness for the ideal incompressible density-dependent viscoelastic flow

DOI10.1002/mma.3130zbMath1309.76016OpenAlexW2078675027MaRDI QIDQ5246793

Hua Qiu, Shu-Guang Shao

Publication date: 22 April 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3130

zbMATH Keywords

Oldroyd modelidealdensity-dependent

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Viscoelastic fluids (76A10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Unnamed Item
• A blowup criterion for ideal viscoelastic flow
• 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 of weak solutions to macroscopic models of polymeric flows
• On 2D viscoelasticity with small strain
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Well-posedness in critical spaces for incompressible viscoelastic fluid system
• Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
• Two-phase viscoelastic jetting
• Global solutions for incompressible viscoelastic fluids
• Local strong solution to the compressible viscoelastic flow with large data
• Local well-posedness and regularity criterion for the density dependent incompressible Euler equations
• Remarks on the blowup criteria for Oldroyd models
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Local well-posedness for the incompressible Euler equations in the critical Besov spaces.
• Global existence of weak solutions to the FENE dumbbell model of polymeric flows
• Note on the blowup criterion of smooth solution to the incompressible viscoelastic flow
• Optimal control of non-isothermal viscoelastic fluid flow
• Global solutions for micro-macro models of polymeric fluids
• Global existence for a 2D incompressible viscoelastic model with small strain
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• Commutator estimates and the euler and navier-stokes equations
• 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
• On hydrodynamics of viscoelastic fluids
• An Eulerian description of fluids containing viscoelastic particles

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