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数学大讲堂

Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows

  • 演讲者:Edriss Titi(德克萨斯A&M大学)

  • 时间:2018-11-15 16:10-17:10

  • 地点:慧园3栋 415报告厅

Abstract: In this talk I will present a unified approach for the effect of fast rotation and dispersion as an averaging mechanism for, on the one hand, regularizing and stabilizing certain evolution equations, such as the Navier-Stokes and Burgers equations. On the other hand, I will also present some results in which large dispersion acts as a destabilizing mechanism for the long-time dynamics of certain dissipative evolution equations, such as the Kuramoto-Sivashinsky equation. In addition, I will present some new results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit"Landua-damping" mechanism due to large spatial average in the initial data.