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Topological Methods in Hydrodynamics
Language: en
Pages: 455
Authors: Vladimir I. Arnold
Categories: Mathematics
Type: BOOK - Published: 2021-05-12 - Publisher: Springer Nature

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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view.
Topological Methods in Hydrodynamics
Language: en
Pages: 376
Authors: Vladimir I. Arnold
Categories: Mathematics
Type: BOOK - Published: 2008-01-08 - Publisher: Springer Science & Business Media

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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view.
Topological Methods in Hydrodynamics
Language: en
Pages: 385
Authors: Vladimir I. Arnold
Categories: Mathematics
Type: BOOK - Published: 1999-08-05 - Publisher: Springer Science & Business Media

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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view.
Applications of Group-Theoretical Methods in Hydrodynamics
Language: en
Pages: 966
Authors: V.K. Andreev
Categories: Mathematics
Type: BOOK - Published: 1998-10-31 - Publisher: Springer Science & Business Media

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It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis
Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
Language: en
Pages: 252
Authors: Viktor Grigorʹevich Zvi︠a︡gin
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: de Gruyter

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"In the present book a method for solving evolutionary problems is described. The outline of this method is as follows. The initial-boundary value problem is co