Global solution of 2D hyperbolic liquid crystal system for small initial data
Prof. Xuecheng Wang
2024-04-23 10:30-11:30
MCM210
Speaker: Prof. Xuecheng Wang (YMSC)Time: 10:30-11:30 April 23, 2024 (Tuesday)
Place: MCM210
Title: Global solution of 2D hyperbolic liquid crystal system for small initial data
Abstract: In this talk, we discuss the global stability of small perturbation near the constant equilibrium for the two-dimensional simplified Ericksen-Leslie’s hyperbolic system for incompressible liquid crystal model, where the direction function of liquid crystal molecules satisfies a wave map equation with an acoustical metric. The main ingredient is that we uncover a null structure inside the velocity equation on the Fourier side for the nonlinear interaction between nonlinear heat equation and nonlinear wave equation.
