On the asymptotics of the spectrum for some problems, connected with oscillations of liquids
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 158-164
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The main term of the asymptotics of the spectrum in some problems of the theory of small oscillations of liquid, partly filling a vessel, is obtained, at first one problem of the general character is discussed – “the unlocal problem of Steklov's type”. Considered problems are connected with oscillations of capillary ideal (or capillary stratified) liquid, heavy viscous liquid, capillary viscous liquid; with oscillations of a liquid in a vessel with resilien bottom.