Abstract: | 时间: 3月18日(周二) 下午 16:00 - 17:00 3月19日(周三) 下午 14:45 - 16:45 3月21日(周五) 上午 10:30 - 11:30 地点:光华东主楼 1801 内容摘要:The first part will be devoted to the following theoretical aspects dissipative dynamical system: Semigroups of operators, trajectories and orbits, omega-limit sets, bounded absorbing sets, attracting sets, compactness and asymptotic compactness, global attractors and their properties. Existence theorems for global attractors, dynamics on the global attractor, Lyapunov functionals and gradient systems, unstable and stable manifolds, global attractors for gradient systems. The second part will be concerned with some applications to concrete nonlinear evolution equations, namely, reaction-diffusion equations, Cahn-Hilliard equation, 2D Navier-Stokes system, damped semilinear wave equations. |