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

Saule D. Troitskaya

Published 2016-03-31Version 1

A class of solutions, decaying as $t\rightarrow \infty$, 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.