マス・フォア・インダストリ研究所

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On pseudospectral bound for non-selfadjoint operators and its applications


開催時期 2019-11-22 15:30~2019-11-22 17:00

場所 福岡大学・セミナーハウス・2階セミナー室D

受講対象  

講師 前川 泰則 (京都大学)

【概要】
In this talk we consider the pseudospectral bound for operators which are written as the sum of selfadjoint dissipative operator and skew-adjoint operator. We present a general framework to obtain the pseudospectral bound that leads to a nontrivial (enhanced) dissipation. Our approach is applicable to the case when the skew-adjoint operator contains a nonlocal term, which appears naturally in the stability analysis of some viscous incompressible flows such as the Kolmogorov flow and the Lamb-Oseen flow. This talk is based on a joint work with Slim Ibrahim (UBC) and Nader Masmoudi (NYU).


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