Nonexistence of singular pseudo-self-similar solutions of the Navier-Stokes system

DOI10.1007/PL00004460zbMath0983.35103OpenAlexW2009270063MaRDI QIDQ5947419

Judith R. Miller, Maria Elena Schonbek, Mike O'Leary

Publication date: 16 October 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004460

zbMATH Keywords

singularityNavier-Stokes systempseudo-self-similar solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

Vanishing solution of Leray equation in 3-space ⋮ Jean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248 ⋮ On the self-similar solutions of the 3D Euler and the related equations ⋮ Boundary characteristic point regularity for Navier-Stokes equations: blow-up scaling and petrovskii-type criterion (a formal approach) ⋮ Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations ⋮ Remarks on the asymptotically discretely self-similar solutions of the Navier-Stokes and the Euler equations ⋮ Euler's equations and the maximum principle ⋮ Notes on the incompressible Euler and related equations on \(\mathbb R^N\) ⋮ On the generalized self-similar singularities for the Euler and the Navier-Stokes equations ⋮ Unique continuation type theorem for the self-similar Euler equations ⋮ On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations ⋮ On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations

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