偏微分方程式セミナー: Gromov-Hausdorff stability of global attractors of reaction diffusion systems under perturbations of the domain and equation, Jihoon Lee 氏

Time：16:30-17:30

Place：hybrid

Organizer：黒田 紘敏、浜向 直

Speaker：Jihoon Lee 氏 (全南大学校)

Title：Gromov-Hausdorff stability of global attractors of reaction diffusion systems under perturbations of the domain and equation

Abstract：In this talk, we analyze how the asymptotic dynamics of the evolutionary system change when we vary the domain and equation of the reaction diffusion system. One of the difficulties in this direction is that the phase space of the induced dynamical system changes as we change the domain. In fact, the phase spaces which contain global attractors can be disjoint under the perturbation of the domain. To overcome the difficulties, we use the Gromov-Hausdorff distance between two global attractors (which belong to disjoint phase spaces) to consider the continuity of global attractors and the Gromov-Hausdorff stability of system under perturbations of the domain and equation.
In this direction, we discuss some recent results and problems we want to solve.
For references, you may visit my website: http://jlee.jnu.ac.kr