Forward self-similar solutions of the fractional Navier-Stokes equations

DOI10.1016/j.aim.2019.06.021zbMath1420.35192arXiv1710.08041OpenAlexW2766049566MaRDI QIDQ2313365

Xiaoxin Zheng, Baishun Lai, Chang Xing Miao

Publication date: 19 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08041

zbMATH Keywords

self-similar solutionnonlocal effectblowup argumentthe weighted estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Self-similar solutions to PDEs (35C06)

Related Items (8)

Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in ℝN ⋮ Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density ⋮ Spatial decay of discretely self-similar solutions to the Navier-Stokes equations ⋮ Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows ⋮ Quasi-periodic solutions for the incompressible Navier-Stokes equations with nonlocal diffusion ⋮ Local \(L^2\) theory of the fractional Navier-Stokes equations and the self-similar solution ⋮ Global regularity of weak solutions to the generalized Leray equations and its applications ⋮ Lipschitz continuity of solutions to drift-diffusion equations in the presence of nonlocal terms

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