Regularity of solutions to vorticity navier-stokes system on ℝ2

Maxim Arnold; Yuri Bakhtin; Efim Dinaburg

doi:10.1007/s00220-005-1300-2

Regularity of solutions to vorticity navier-stokes system on ℝ²

Maxim Arnold, Yuri Bakhtin, Efim Dinaburg

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Cauchy problem for the Navier-Stokes system for vorticity on plane is considered. If the Fourier transform of the initial data decays as a power at infinity, then at any positive time the Fourier transform of the solution decays exponentially, i.e. the solution is analytic.

Original language	English (US)
Pages (from-to)	339-348
Number of pages	10
Journal	Communications In Mathematical Physics
Volume	258
Issue number	2
DOIs	https://doi.org/10.1007/s00220-005-1300-2
State	Published - Sep 2005

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-005-1300-2

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title = "Regularity of solutions to vorticity navier-stokes system on ℝ2",

abstract = "The Cauchy problem for the Navier-Stokes system for vorticity on plane is considered. If the Fourier transform of the initial data decays as a power at infinity, then at any positive time the Fourier transform of the solution decays exponentially, i.e. the solution is analytic.",

author = "Maxim Arnold and Yuri Bakhtin and Efim Dinaburg",

year = "2005",

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Regularity of solutions to vorticity navier-stokes system on ℝ²

Abstract

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