Behavior as $t\to \infty$ of Solutions of a problem in Mathematical Physics

Abstract

A class of solutions, decaying as $t\to \infty$, of a two-dimensional model problem on the oscillations of an ideal rotating fluid in some domains with angular points is constructed explicitly. The existence of solutions whose $L_2$-norms decrease more rapidly than any negative power of $t$, is established.

Published version with some misprints corrected

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