| The KP equation and shallow water waves |
| Organizers: |
| Yuji Kodama ( Ohio State University, U.S.A. ) |
| Sarbarish Chakravarty ( University of Colorado, Colorado Springs, U.S.A. ) |
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| The purpose of this minisymposium session is to discuss a variety of topics related
to the Kadomtsev-Petviashvili (KP) equation and recent results in the study of shallow
water waves. These topics will include (but not limited to): |
| (i) the initial value problem of the KP equation including solution methods, existence-uniqueness results, stability of soliton solutions; |
| (ii) applicability (as well as non-applicability) of the KP equation
to describe shallow water waves and their interactions; |
| (iii) comparison of the KP equation with other two-dimensional wave equations for shallow water; |
| (iv) experimental and numerical studies of shallow water waves.Talks discussing recent analytical, numerical and experimental investigations of the above and closely related topics will be presented.
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| List of Speakers: |
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| 1) Mark Ablowitz ( University of Colorado, Boulder, U.S.A. ) |
| "Reformulation and asymptotic reductions of water and interfacial waves" |
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| 2) Wooyoung Choi ( New Jersey Institute of Technology, U.S.A. ) |
| "Modeling weakly two-dimensional water wave motions" |
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| 3) Youichi Murakami ( Osaka Prefecture University, Japan ) |
| "Numerial and analytical study on instabilities of the line soliton of the KP I equation and related recurrent phenomena" |
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| 4) Alexey Slunyaev ( Inst. of Appl. Phys., Novgorod ) |
| "Exact solutions for the Gardner equation" |
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| 5) C. Klein ( Université de Bourgogne, France ) |
| "Numerical study of oscillatory regimes in the
Kadomtsev-Petviashvili equation" |
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| 6) Philippe Guyenne ( University of Delaware, U.S.A. ) |
| "Long waves over random topography" |
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| 7) Ken-ichi Maruno ( University of Texas Pan-American, U.S.A. ) |
| "Soliton interactions of the two-dimensional Boussinesq-type equation" |
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| 8) Hidekazu Tsuji ( Kyushu University, Japan ) |
| "Two-dimensional interaction of Benjamin-Ono solitons --- Comparison with solution of KP equation" |
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| 9) Harry Yeh ( Oregon State University, U.S.A. ) |
| "KP solitons: Part 1. Experiments" |
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| 10) Yuji Kodama ( Ohio State University, U.S.A. ) |
| "KP solitons: Part 2. Theory" |
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| 11) Chiu-Yen Kao ( Ohio State University, U.S.A. ) |
| "KP solitons: Part 3. Simulations" |
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| 12) Sarbarish Chakravarty ( University of Colorado, Colorado Springs, U.S.A. ) |
| "Some combinatorial problems related to the KP line-solitons" |
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