On the well-posedness of the incompressible viscoelastic flows

DOI10.1007/s41980-018-0116-8zbMath1412.35268OpenAlexW2797288818MaRDI QIDQ1734179

Yin-Xia Wang

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0116-8

zbMATH Keywords

well-posednessincompressible viscoelastic flowsnearly optimal Sobolev spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Cites Work

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• On 2D viscoelasticity with small strain
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• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows
• Rigorous numerical verification of uniqueness and smoothness in a surface growth model
• Global existence for a 2D incompressible viscoelastic model with small strain
• The blow-up criteria of smooth solutions to the generalized and ideal incompressible viscoelastic flow
• Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions
• Some Analytical Issues for Elastic Complex Fluids
• 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 Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
• 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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