Abstract: We consider a three-dimensional fluid–structure interaction system coupling the incompressible Navier–Stokes equations with an elastic plate forming the moving upper boundary. First, we establish a no-contact result for weak solutions under suitable regularity assumptions, without requiring structural damping or small initial data. Second, for a structurally damped plate, we prove a priori exponential decay estimates for strong solutions with sufficiently small initial data. The proofs rely on energy estimates, carefully constructed test functions, Stokes regularity, and nonlinear bootstrap arguments. This is joint work with Mario Bukal, Igor Kukavica, and Boris Muha. 

报告人简介：李林峰博士毕业于美国南加州大学应用数学专业，博士毕业后在加州大学洛杉矶分校从事博士后研究，现任南方科技大学数学系助理教授。主要从事偏微分方程与流体力学研究，研究方向包括流体自由边界问题、流体稳定性以及偏微分方程解的零集与定量唯一延拓等。相关研究成果发表于 PLMS、Nonlinearity、JMFM 等国际数学期刊。