■日時
2023年5月9日(火) 16:30 – 18:00
■場所
北海道大学 電子科学研究所 中央キャンパス総合研究棟2号館5階 講義室
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■講演者
Jack Xin
■所属等
Chancellor’s Professor, University of California, Irvine
■タイトル
Particle and Game Theoretic Methods for Front Speeds in Fluid Flows
■概要
We study and compute large time front speeds of Fisher-Kolmogorov-Petrovsky-Piskunov equation in fluid flows with chaotic and stochastic streamlines based on a normalized Feynman-Kac representation and the associated genetic interacting particle (IP) method. Examples of such flows are Arnold-Beltrami-Childress (ABC) flows and their random perturbations. The method is mesh-free and self-adaptive, providing training data for efficient deep learning of the invariant measure of IP evolution in the small molecular diffusivity regime.
We analyze a curvature dependent level set Hamilton-Jacobi equation arising in turbulent combustion, and show the existence of effective front speeds in cellular (BC) flow.
To overcome non-coercivity and non-convexity of the Hamiltonian, we rely on a notion of reachability through Kohn-Serfaty deterministic game characterization, the ordered streamline structure of the BC flow, and comparison principle.
■連絡先
北海道大学 電子科学研究所 附属社会創造数学研究センター 人間数理研究分野
■その他
北大MMCセミナー
