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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010 Number 4, Pages 54–58 (Mi vmumm801)

Mechanics

Forced waves on shallow water

Yu. L. Yakimov, A. Yu. Yakimov

Lomonosov Moscow State University, Institute of Mechanics

Abstract: Plane surface waves induced by a uniformly moving region of abnormal pressure are studied in a nonlinear formulation. The narrow band method can be used to analyze the forced wave motion. An inverse problem is solved when the surface is given in the form of a model solution in the pressure region. The motion of a half-submerged wing of a given displacement and the motion of an abnormal pressure region with a given external force are described in analytical form.

Key words: wave, abnormal pressure, wing, limiting condition, potential flow, conformal mapping.

UDC: 539.59

Received: 28.11.2008



© Steklov Math. Inst. of RAS, 2026