LONGTIME DYNAMICS FOR AN ELASTIC WAVEGUIDE MODEL

作者：Yang Zhijian^*; Li Ke

来源：Discrete and Continuous Dynamical Systems, 2013, 797-806.

• Nonlinear wave equation
• global solution
• longtime dynamics
• trajectory attractor
• backward regularity

The paper studies the longtime dynamics for a nonlinear wave equation arising in elastic waveguide model u(tt) - Delta u - Delta u(tt) + Delta(2)u - Delta u(t) - Delta g(u) = f (x). It proves that the equation possesses in trajectory phase space a global trajectory attractor A(tr) and the full trajectory of the equation in A(tr) is of backward regularity provided that the growth exponent of nonlinearity g(u) is supercritical.

• 出版日期2013-11
• 单位郑州大学