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_/ 流体力学セミナー ２００６ No. １０
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_/ 日 時 : ０６年 １１月 ６ 日 (月) １５：００〜１６：３０
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_/ 場 所 : 京大数理研 ００９号室
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_/ 講 師： Walter Pauls
_/ Observatoire de la Cote d’Azur (France) and
_/ Fakultat fur Physik, Universitat Bielefeld (Germany)
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_/ 題 目： Passive scalar diffusion at high Peclet numbers in
_/ stationary flows
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_/ 内 容 : We study the advection of passive scalar in steady 2D flows
_/ at high Pecl¥’et numbers (the Pecl¥’et number is inversely
_/ proportional to the diffusivity of the tracer). We analyze
_/ the asymptotic properties of the stochastic process generated
_/ by a prescribed stationary velocity field (determined by
_/ its stream function H) which is perturbed by random noise
_/ (which is the Brownian motion rescaled by the diffusivity).
_/ The asymptotic behaviour of this process depends heavily on
_/ the geometry of the streamlines and determines the effective
_/ diffusivity of a tracer in the flow. For example, when the domain
_/ is the whole plane the decisive criterion is the boundedness
_/ of the levellines of H.
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