Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion

DOI10.1016/j.jfa.2021.109332zbMath1481.35345OpenAlexW3217300016MaRDI QIDQ2066272

Jiahong Wu, Xiaojing Xu, Peixin Wang, Yueyuan Zhong

Publication date: 14 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109332

zbMATH Keywords

large-time behaviorOldroyd-B modelglobal small solutionpartial dissipation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stratification effects in viscous fluids (76D50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with geophysics (35Q86)

Related Items (7)

Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation ⋮ Global regularity for Oldroyd-B model with only stress tensor dissipation ⋮ Global well-posedness of 2D incompressible Oldroyd-B model with only velocity dissipation ⋮ Stability and sharp decay for 3D incompressible MHD system with fractional horizontal dissipation and magnetic diffusion ⋮ Global existence and decay rates of solutions to the Oldroyd-B model with stress tensor diffusion ⋮ Initial layer of the incompressible Oldroyd-B model for weakly viscoelastic fluids at the low Weissenberg number ⋮ Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only

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