科学大数理解析セミナー

第106回科学大数理解析セミナー

2025年4月18日(金)17:00--18:30

開催教室:本館2階,H213セミナー室

講演者: Lijuan Wang 氏 (Shanghai University of International Business and Economics)

講演題目:Suppression of blow-up in a fourth-order parabolic model via Couette flow in whole space 

講演概要:In this talk, I will discuss the global existence and large-time behavior of solutions to a fourth-order parabolic equation with Couette flow. Using Green's function method, I will describe enhanced dissipation through a refined space-time structure, and thereby establish both global existence and decay estimates for the solutions. The main results demonstrate that the blow-up phenomenon of solutions can be suppressed by the enhanced dissipation associated with large Couette flows.

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