校级学术报告

题目：Steady Water Waves with Vorticity
报告人：L. H. Ballou University Professor Walter A. Strauss (Department of Mathematics and Division of Applied Mathematics, Brown University, RI, USA)
简介:
刊物主编: SIAM Journal of Mathematical Analysis;
刊物编委: J. of Differential Equations, Applied and Computational Mathematics, Dynamics and Differential Equations, Discrete and Continuous Dynamical Systems, Communications on Applied Nonlinear Analysis, CRC Monographs in Pure & Applied Mathematics.
学术荣誉:
N. S. F. Postdoctoral Fellowship, Université de Paris;
Fulbright Lecturer, I. M. P. A., Rio de Janeiro;
John Simon Guggenheim Fellow;
Fellow of the Japan Soc. for Promotion of Science, U. of Tokyo;
Principal Lecturer, Conf. Bd. of Math. Sciences, A.M.S.;
Harrison S. Kravis University Professor, Brown U.;
L. Herbert Ballou University Professor, Brown U.;
Institut Henri Poincaré Gauthiers-Villars Prize;
Thomson-ISI New Hot Paper in Mathematics.
访问学者:
City University of New York; Université de Paris; University of Maryland; Yunnan University; New York University; Ecole Normale Supérieure, Paris; Université de Paris; University of Houston; Conseglio Nazionale di Ricerche (Italy); Institut H. Poincaré, Paris; Duke University ; Institute Mittag-Leffler .
报告摘要:
Consider a classical 2D water wave under the influence of gravity with an arbitrary vorticity function. Assume such a wave is traveling at a constant speed over a flat bed.
Then there exist many families of such waves of large amplitude. The proof is based on elliptic PDEs, bifurcation and degree theory. I will also exhibit some recent numerical
computations. If the vorticity is sufficiently large, the first stagnation point occurs not at the crest (as with irrotational flows) but on the bed directly below the crest. For variable vorticity the first stagnation point can occur in the interior of the fluid.


时间：2007. 5. 28, 上午 10:00-11:00
地点：华东师范大学理科楼 A510

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数学系
2007．5．25．