GLOBAL EXISTENCE TO THE NAVIER–STOKES EQUATIONS THROUGH A SELF-SIMILAR-LIKE UPPER SOLUTION

DOI10.1142/S0219199712500319zbMath1251.35066MaRDI QIDQ3166703

Bernard, Guy

Publication date: 15 October 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsglobal existenceupper solutions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for second-order parabolic systems (35K45) Self-similar solutions to PDEs (35C06)

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• On uniqueness questions in the theory of viscous flow
• On Leray's self-similar solutions of the Navier-Stokes equations
• Elliptic Partial Differential Equations of Second Order
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item