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Your search keyword '"G. Danilov"' showing total 7 results
Start Over Author "G. Danilov" Journal mathematical notes
7 results on '"G. Danilov"'

2. Weak Asymptotics Method Approach to the Problem of $$\delta$$-Shock Wave Interactions

Author

Vladimir G. Danilov

Subjects
Shock wave, Delta, General Mathematics, 010102 general mathematics, Mathematics::Analysis of PDEs, 02 engineering and technology, Gas dynamics, 01 natural sciences, 020303 mechanical engineering & transports, 0203 mechanical engineering, Gravitational singularity, 0101 mathematics, Mathematics, Mathematical physics
Abstract

In this note, we present an unusual picture of interaction of singularities for pressureless gas dynamics.

Published
2020

3. Double-deck structure of the boundary layer in problems of flow around localized perturbations on a plate

Author

Vladimir G. Danilov and R. K. Gaydukov

Subjects
General Mathematics, Mathematical analysis, Reynolds number, Perturbation (astronomy), Fluid mechanics, Viscous incompressible fluid, Deck, Physics::Fluid Dynamics, Boundary layer, symbols.namesake, symbols, Navier–Stokes equations, Nonlinear Sciences::Pattern Formation and Solitons, Mathematics
Abstract

We consider the problem of a viscous incompressible fluid flow along a flat plate with a small solitary perturbation (of hump, step, or corner type) for large Reynolds numbers. We obtain an asymptotic solution in which the boundary layer has a double-deck structure.

Published
2015

4. Method of reflections applied to the construction of the asymptote of Green's function for parabolic equations with variable coefficients

Author

Vladimir G. Danilov and S. M. Frolovichev

Subjects
symbols.namesake, Parabolic cylindrical coordinates, General Mathematics, Green's function, Multiplicative function, Mathematical analysis, Fundamental solution, symbols, Dirac delta function, Function (mathematics), Parabolic cylinder function, Asymptote, Mathematics
Abstract

Two studies [1, 2] have been devoted to topics related to the construction of the asymptote of the fundamental solution of Eq. (1). In [3, 4] a multiplicative asymptote was constructed for the mixed initial-boundary problem of the first and second kind under null initial conditions on the second-order parabolic equations with the higher derivatives multiplied by a small parameter. In the present study a method is proposed for the construction of Green's function based on a representation of the delta function in the form [2] (2 h)_1/2 o+,2 (3) ~(z)

Published
1995

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