Rearrangements of vector valued functions, with application to atmospheric and oceanic flows

R. J. Douglas*

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

5 Dyfyniadau (Scopus)

Crynodeb

This paper establishes the equivalence of four definitions of two vector valued functions being rearrangements. Properties of the monotone rearrangement of a vector valued function are used to show existence and uniqueness of the minimizer of an energy functional arising from the semigeostrophic equations, a model for atmospheric and oceanic flow. At each fixed time solutions are shown to be equal to the gradient of a convex function, verifying the conjecture of Cullen, Norbury, and Purser [SIAM J. Appl. Math., 51 (1991). pp. 20-31].

Iaith wreiddiolSaesneg
Tudalennau (o-i)891-902
Nifer y tudalennau12
CyfnodolynSIAM Journal on Mathematical Analysis
Cyfrol29
Rhif cyhoeddi4
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - Gorff 1998

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