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North-holland Mathematics Studies | 1984

Water Waves and Friedriehs Expansion

Tadayoshi Kano; Takaaki Nishida

Publisher Summary This chapter discusses the surface waves of water whose equations in the dimensionless form have a parameter which corresponds to mean depth /wave length. Two space-dimensional irrotational motions with free surface of an incompressible perfect fluid are called “water waves” and are governed by a system of equations in the dimensionless form for the velocity potential and the free surface given in this chapter.


Osaka Journal of Mathematics | 1986

A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves

Tadayoshi Kano; Takaaki Nishida


Journal of Mathematics of Kyoto University | 1979

Sur les ondes de surface de l’eau avec une justification mathématique des équations des ondes en eau peu profonde

Tadayoshi Kano; Takaaki Nishida


Journal of Mathematics of Kyoto University | 1986

Une théorie trois-dimensionnelle des ondes de surface de l’eau et le développement de Friedrichs

Tadayoshi Kano


Journal of The Mathematical Society of Japan | 1969

On the Cauchy problem for equations with multiple characteristic roots

Tadayoshi Kano


Proceedings of the Japan Academy, Series A, Mathematical Sciences | 1985

Sur l'équation de Boussinesq des ondes de surface de l'eau

Tadayoshi Kano; Takaaki Nishida


Proceedings of the Japan Academy, Series A, Mathematical Sciences | 1985

Une justification mathématique pour l'équation de Korteweg-de Vries approchant des ondes longues de surface de l'eau

Tadayoshi Kano; Takaaki Nishida


Publications of The Research Institute for Mathematical Sciences | 1969

A Necessary Condition for the Well-posedness of the Cauchy Problem for the First Order Hyperbolic System with Multiple Characteristics

Tadayoshi Kano


Comptes Rendus Mathematique | 2005

Une redcouverte de l'quation de Kortewegde Vries et de KadomtsevPetviashvili

Tadayoshi Kano; Takaaki Nishida


Archive | 1979

Sur les Ondes de Surface de l'Eau (偏微分方程式の解の構造の研究)

Tadayoshi Kano; Takaaki Nishida

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