Long-time asymptotics of an initial-boundary value problem for the two-dimensional Sobolev equationстатья
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Аннотация:We continue the investigation of model problems describing the excitation of oscillations in stratified and rotating fluids by curvilinear segments [S. A. Gabov and A. G. Sveshnikov, Linear problems in the theory of unsteady internal waves (Russian), "Nauka'', Moscow, 1990; MR1109492 (92i:76015)]. What is new in this paper is that in this problem we consider a model distribution of the field of normal velocities at the bottom of the fluid in the form of a plane traveling wave. Specifying the boundary condition in this form allows us to regard this problem as the simplest example of problems with moving sources in stratified and rotating fluids