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Benney hydrodynamic chain

М. В. Павлов

Физический институт им. П. Н. Лебедева РАН, г. Москва

Аннотация: We consider relationships between hydrodynamics (Euler equations, better to say their special case: the Benney system), plasma physics (Vlasov kinetic (or collisionless Boltzmann) equation), classical mechanics, aerodynamics (Lin-Reissner-Tsien equation, also known as Khokhlov-Zabolotskaya equation in nonlinear acoustic, or a dispersionless limit of the Kadomtsev-Petviashvili equation) field theory (the associativity WDVV equation), and Laplacian Growth (Loewner equations).


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