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第32回PDE実解析研究会 (北大数学COE協賛)

PDE Real Analysis Seminar

Contents

Program

組織委員：
儀我美一（東大／北大）
日　　時：
2007年6月13日(水) 10:30-11:30
場　　所：
東京大学大学院　数理科学研究科056号室
※会場へのアクセスは下記にてご確認下さい。
駒場アクセスマップ
http://www.u-tokyo.ac.jp/campusmap/map02_02_j.html
駒場キャンパス数理科学研究科棟
http://www.u-tokyo.ac.jp/campusmap/cam02_01_27_j.html
講 演 者：
Professor Walter Strauss (Brown University)
演　　題：
Steady Water Waves with Vorticity
ABSTRACT:
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.