In this paper we study the two-dimensional dissipative Euler equations in a smooth and bounded domain. In the presence of a suffi- ciently large dissipative term (or equivalently a sufficiently small external force) precise uniform estimates on the modulus of continuity of the vor- ticity are proved. These allow us to show existence of Stepanov almost- periodic solutions.
On the existence of almost-periodic solutions for the 2D dissipative Euler equations / Berselli, Luigi C.; Bisconti, Luca. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - STAMPA. - 31:(2015), pp. 267-290. [10.4171/rmi/833]
On the existence of almost-periodic solutions for the 2D dissipative Euler equations
BISCONTI, LUCA
2015
Abstract
In this paper we study the two-dimensional dissipative Euler equations in a smooth and bounded domain. In the presence of a suffi- ciently large dissipative term (or equivalently a sufficiently small external force) precise uniform estimates on the modulus of continuity of the vor- ticity are proved. These allow us to show existence of Stepanov almost- periodic solutions.
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