On the well-posedness of the ideal incompressible viscoelastic flow in the critical Besov spaces
DOI10.1016/j.camwa.2018.04.017zbMath1421.35290OpenAlexW2802094099MaRDI QIDQ2001674
Publication date: 11 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.017
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- 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
- 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
- Global solutions for incompressible viscoelastic fluids
- Local strong solution to the compressible viscoelastic flow with large data
- Remarks on the blowup criteria for Oldroyd models
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Hydrodynamics in Besov spaces
- Well-posedness for the dumbbell model of polymeric fluids
- Local well-posedness for the incompressible Euler equations in the critical Besov spaces.
- Note on the blowup criterion of smooth solution to the incompressible viscoelastic flow
- Regularity criteria of smooth solution to the incompressible viscoelastic flow
- 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
- LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
- Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
- Commutator estimates and the euler and navier-stokes equations
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
- 带密度的不可压Euler 方程在临界Besov 空间中的适定性
- 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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