Global existence of strong solutions for a general incompressible Oldroyd-B system without damping mechanism

DOI10.1016/J.AML.2021.107850OpenAlexW4200180591MaRDI QIDQ2077040

Jin Rui Huang, Li-Mei Zhu

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107850

zbMATH Keywords

dampingstrong solutionsOldroyd-B system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Strong solutions to PDEs (35D35)

Cites Work

• Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
• Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
• Global wellposedness to the generalized Oldroyd type models in \(\mathbb{R}^3\)
• Some Analytical Issues for Elastic Complex Fluids
• Global Regularity for Some Oldroyd‐B Type Models
• Optimal decay rates for solutions to the incompressible Oldroyd-B model in $\mathbb{R}^3$

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