6 citations
4 papers
On a Generalized Two-Fluid Hele-Shaw Flow
Vladimir Entov, Pavel Etingof
We propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in parti…
Operator Separation Of Variables For Adiabatic Problems In Quantum And Wave Mechanics
V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskiy
We study linear problems of mathematical physics in which the adiabatic approximation is used in the wide sense. Using the idea that all these problems can be treated as problems w…
Internal Gravity Waves in a Stratified Fluid with Smoothly Varying Bottom
Vitaly V. Bulatov, Yuriy V. Vladimirov, Vasily A. Vakorin
The far field asymptotic of internal waves is constructed for the case when a point source of mass moves in a layer of arbitrarily stratified fluid with slowly varying bottom. The…
Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves
Vitaly V. Bulatov, Yuriy V. Vladimirov, Vasily A. Vakorin
A system of two-dimensional nonlinear equations of hydrodynamics is considered. It is shown that for the this system in the general case a solution with weak discontinuity-type sin…