Regularity of forward-in-time self-similar solutions to the 3D Navier-Stokes equations

DOI10.3934/dcds.2006.14.837zbMath1095.35023OpenAlexW1999064632MaRDI QIDQ819498

Zoran Grujić

Publication date: 29 March 2006

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.14.837

zbMATH Keywords

regularityNavier-Stokes equationsself-similar solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

Fine properties of self-similar solutions of the Navier-Stokes equations ⋮ Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space ⋮ Existence of global weak solutions to the Navier-Stokes equations in weighted spaces ⋮ Symmetry breaking and uniqueness for the incompressible Navier-Stokes equations ⋮ Spatial decay of discretely self-similar solutions to the Navier-Stokes equations ⋮ Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations ⋮ Suitable solutions for the Navier-Stokes problem with an homogeneous initial value ⋮ The Navier-Stokes equations in the critical Morrey-Campanato space ⋮ Forward discretely self-similar solutions of the Navier-Stokes equations. II

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