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269 results on '"Lychagin, Valentin"'

251. On structure of linear differential operators, acting on line bundles.

Author

Lychagin, Valentin and Yumaguzhin, Valeriy

Subjects
*LINEAR operators, *DIFFERENTIAL invariants, *DIFFERENTIAL operators, *MATHEMATICAL equivalence, *PARTIAL differential operators
Abstract

We study differential invariants of linear differential operators and use them to find conditions for equivalence of differential operators acting on line bundles over smooth manifolds with respect to groups of automorphisms. [ABSTRACT FROM AUTHOR]

Published
2020
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252. Mass and heat transport in the two-phase Buckley–Leverett model.

Author

Akhmetzyanov, Atlas V., Kushner, Alexei G., and Lychagin, Valentin V.

Subjects
*NUMERICAL solutions to initial value problems, *MATHEMATICAL singularities, *HEAT transfer, *MASS transfer, *SHOCK waves, *POROUS materials
Abstract

In this article we study the initial boundary value problem for two-phase heat and mass transport in porous media described by the Buckley–Leverett model. We outline a method to construct asymptotic solutions of the initial boundary problem and show how to overcome singularities in solutions and shock waves. [ABSTRACT FROM AUTHOR]

Published
2017
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253. Niceness Theorems

Author

Hazewinkel, Michiel, Kruglikov, Boris, editor, Lychagin, Valentin, editor, and Straume, Eldar, editor

Published
2009
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269. Local classification of 2-dimensional solvable Lie algebra actions on the plane

Author

Gustad, Christian O'cadiz and Lychagin, Valentin

Subjects
MAT-3900, VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415, VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Topologi/geometri: 415
Abstract

In the thesis the local classification of 2-dimensional solvable Lie algebra action on the plane is given. Normal forms of such actions are found. The classification applied to classifcation of 2nd order differential equations that are solvable in quadratures.

Published
2010

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