Spectral problems for the curl and Stokes operators

DOI10.1134/S1064562407050225zbMath1159.35391MaRDI QIDQ957774

R. S. Saks

Publication date: 1 December 2008

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

zbMATH Keywords

eigenfunctionsStokes operatorcurl operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Navier-Stokes equations (35Q30)

Related Items (6)

One method for the numerical solution of the Cauchy problem for the Navier-Stokes equations and Fourier series of the curl operator ⋮ Global solutions of the Navier-Stokes equations in a uniformly rotating space ⋮ A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations ⋮ Linear system of differential equations with a quadratic invariant as the Schrödinger equation ⋮ Explicit global solutions to the Navier-Stokes equations and periodic eigenfunctions of the curl operator ⋮ Собственные функции операторов ротора, градиента дивергенции и Стокса. Приложения

Cites Work

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• Remarks on spectra of operator rot
• Three-dimensional magnetohydrodynamic turbulence in cylindrical geometry
• ON FORCE-FREE MAGNETIC FIELDS

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