| 日時 |
2025年4月22日(火) 16:30〜18:00 |
| 場所 |
名古屋工業大学 鶴舞キャンパス 53号館6階コミュニケーションスペース |
講師 |
Lijuan Wang 氏 (Shanghai University of International Business and Economics) |
| 題目 |
Suppression of blow-up in a fourth-order parabolic model via Couette flow in whole space |
要旨 |
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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