自由边界中涡旋片和熵波的稳定性研究

项目将以带有自由边界的弹性流体为研究对象，探索和研究带有自由边界的三维弹性模型涡旋片和熵波问题的非线性稳定性。此类问题需要求解自由界面满足的运动方程并找出能量估计闭合所需的稳定性和不稳定性条件，数学研究具有挑战性。 本项目研究的不稳定性控制方法及机理对于物理领域和工程研究具有重要的意义和价值。

This project will focus on elastic fluids with free boundaries as the research object, exploring and studying the nonlinear stability of vortex sheets and entropy wave problems in three-dimensional elastic models with free boundaries. Such problems need to solve the free interface to satisfy the equation of motion and to identify the stability and instability conditions required for energy estimates closure, which poses significant challenges in mathematical research. Moreover, studying its instability control mechanisms is of great significance and value for both physical and engineering research.