一类广义非线性Kirchhoff型方程的惯性流形

Inertial Manifolds for a Class of Nonlinear Generalized Kirchhoff Equation

该文研究了广义Kirchhoff型方程:utt+αut-βΔut-Φ(‖Δu‖2)Δu+(1+|u|2)p-1u=f(x)的初边值问题的解的长时间行为,证明了方程的惯性流形。

The paper studies the longtime behavior of solutions to the initial boundary value problem (IBVP) for a class of Kirchhoff models: utt+αut-βΔut-Φ(‖Δu‖2)Δu+(1+|u|2)p-1u=f(x). The Inertial manifolds are estimated.