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math-ph2005
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…
math-ph2005
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…
math-ph2004★ 4 cited
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…