### Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure

Da Prato G, Flandoli F, Röckner M (2020)
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Autor*in
Da Prato, Giuseppe; Flandoli, Franco; Röckner, MichaelUniBi
Einrichtung
Abstract / Bemerkung
The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro (Commun Math Phys 129:431-444, 1990) and other authors. Here we prove existence of solutions for the associated continuity equation in Hilbert spaces, in a quite general class with LlogL densities with respect to the enstrophy measure.
Stichworte
Euler equations; Continuity equation; Random initial conditions; Enstrophy measure
Erscheinungsjahr
2020
Zeitschriftentitel
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS
ISSN
2194-0401
eISSN
2194-041X
Page URI
https://pub.uni-bielefeld.de/record/2943809

### Zitieren

Da Prato G, Flandoli F, Röckner M. Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. 2020.
Da Prato, G., Flandoli, F., & Röckner, M. (2020). Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. doi:10.1007/s40072-020-00173-8
Da Prato, G., Flandoli, F., and Röckner, M. (2020). Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS.
Da Prato, G., Flandoli, F., & Röckner, M., 2020. Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS.
G. Da Prato, F. Flandoli, and M. Röckner, “Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure”, STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2020.
Da Prato, G., Flandoli, F., Röckner, M.: Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. (2020).
Da Prato, Giuseppe, Flandoli, Franco, and Röckner, Michael. “Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure”. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS (2020).

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