Existence Theorems for the 3D–Navier–Stokes System Having as Initial Conditions Sums of Plane Waves

DOI10.1007/978-0-387-75217-4_6zbMath1141.76019OpenAlexW2164943686MaRDI QIDQ3514582

E. I. Dinaburg, Yakov G. Sinai

Publication date: 21 July 2008

Published in: Instability in Models Connected with Fluid Flows I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-75217-4_6

zbMATH Keywords

Fourier transformslocal existenceglobal existence\(\delta\)-functions

Mathematics Subject Classification ID

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

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
• Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\)
• Mathematical Problems of Statistical Hydromechanics
• Diagrammatic approach to the 3D Navier-Stokes system
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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