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- catalog abstract "The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves. Features the latest developments in the theory of water waves, rigorous and formal results, and papers from world-renowned experts in the field.".
- catalog contributor b9941304.
- catalog contributor b9941305.
- catalog contributor b9941306.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "An appreciation of T. Brooke Benjamin (1929-1995) -- Radiation and modulational instability described by the fifth-order Korteweg-De Vries equation / Igor Bakholdin and Andrej Il'ichev -- Numerical simulation of singular solutions of the generalized Korteweg-deVries equation / J.L. Bona, V.A. Dougalis, O.A. Karakashian and W.R. McKinney -- Spatially quasi-periodic capillary-gravity waves / T.J. Bridges and F. Dias -- On modulations of weakly nonlinear water waves / T. Colin, F. Dias and J.-M. Ghidaglia -- Birkhoff normal forms for water waves / Walter Craig -- Remarks on the stability of generalized KP solitary waves / A. de Bouard and J.-C. Saut -- On the asymptotic integrability of a generalized Burgers equation / A.S. Fokas and L. Luo -- Spatial instabilities and chaos in high-order Hamiltonian standing water waves / M. Glozman and Y. Agnon -- Solitary wave interactions for the fifth-order KdV equation / B. Malomed and J.-M. Vanden-Broeck.".
- catalog description "Includes bibliographical references.".
- catalog description "The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves. Features the latest developments in the theory of water waves, rigorous and formal results, and papers from world-renowned experts in the field.".
- catalog extent "xxiii, 235 p. :".
- catalog identifier "082180510X (alk. paper)".
- catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 200.".
- catalog isPartOf "Contemporary mathematics, 0271-4132 ; 200".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "Providence, RI : American Mathematical Society,".
- catalog subject "532/.593/0151 20".
- catalog subject "QA927 .M298 1996".
- catalog subject "Water waves Congresses.".
- catalog subject "Wave-motion, Theory of Congresses.".
- catalog subject "Wave-motion, Theory of.".
- catalog tableOfContents "An appreciation of T. Brooke Benjamin (1929-1995) -- Radiation and modulational instability described by the fifth-order Korteweg-De Vries equation / Igor Bakholdin and Andrej Il'ichev -- Numerical simulation of singular solutions of the generalized Korteweg-deVries equation / J.L. Bona, V.A. Dougalis, O.A. Karakashian and W.R. McKinney -- Spatially quasi-periodic capillary-gravity waves / T.J. Bridges and F. Dias -- On modulations of weakly nonlinear water waves / T. Colin, F. Dias and J.-M. Ghidaglia -- Birkhoff normal forms for water waves / Walter Craig -- Remarks on the stability of generalized KP solitary waves / A. de Bouard and J.-C. Saut -- On the asymptotic integrability of a generalized Burgers equation / A.S. Fokas and L. Luo -- Spatial instabilities and chaos in high-order Hamiltonian standing water waves / M. Glozman and Y. Agnon -- Solitary wave interactions for the fifth-order KdV equation / B. Malomed and J.-M. Vanden-Broeck.".
- catalog title "Mathematical problems in the theory of water waves : a workshop on the problems in the theory of nonlinear hydrodynamic waves, May 15-19, 1995, Luminy, France / F. Dias, J.-M. Ghidaglia, J.-C. Saut, editors.".
- catalog type "Conference proceedings. fast".
- catalog type "text".