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第５回PDE実解析研究会 (北大数学COE協賛)

PDE Real Analysis Seminar

Contents

Program

代 表 者：
小池茂昭 (埼玉大) ，新井仁之 (東大) ，儀我美一 (北大)
日　　時：
2004年12月15日 (水) 10:30〜11:30, 11:45〜12:45
場　　所：
東京大学大学院　数理科学研究科122号室
講 演 者：
Andrzej Swiech (ジョージア工科大学・教授)
Francesca Da Lio (Dipartimento di Matematica P. e A.Universit di Padova researcher)
演　　題：
"Hamilton-Jacobi-Bellman equations for optimal control of stochastic Navier-Stokes equations." (Andrzej Swiech)
時　　間：10:30-11:30
ABSTRACT:
We consider a parameterized family of continuous functions, which containsas its members Bourbai's and Perkins's nowhere differentiable functions as well as the Cantor-Lebesgue singular functions.
演　　題：
"A GEOMETRICAL APPROACH TO FRONT PROPAGATION PROBLEMS IN BOUNDED DOMAINS WITH NEUMANN-TYPE BOUNDARY AND APPLICATIONS" (Francesca Da Lio)
時　　間：11:45-12:45
ABSTRACT:
We talk about a new definition of weak solution for the global-in-time motion of a front in bounded domains with normal velocity depending not only on its curvature but also on the measure of the set it encloses and with a contact angle boundary condition. We apply this definition to study the asymptotic behaviour of the solutions of some local and nonlocal reaction-diffusion equations.