In this paper we study the two-dimensional dissipative Euler equations in a smooth and bounded domain. In presence of a large enough dissipative term (or equivalently a small enough external force) precise uniform estimates on the modulus of continuity of the vorticity 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 CARLO;
2015-01-01
Abstract
In this paper we study the two-dimensional dissipative Euler equations in a smooth and bounded domain. In presence of a large enough dissipative term (or equivalently a small enough external force) precise uniform estimates on the modulus of continuity of the vorticity are proved. These allow us to show existence of Stepanov almost-periodic solutions.File in questo prodotto:
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