Global attractor for the Kirchhoff type equation with a strong dissipation

作者：Yang Zhijian^*; Wang Yunqing

来源：Journal of Differential Equations, 2010, 249(12): 3258-3278.

DOI：10.1016/j.jde.2010.09.024

• Kirchhoff type equation
• Strong dissipation
• Initial boundary value problem
• Longtime behavior
• Global attractor

The paper studies the longtime behavior of the Kirchhoff type equation with a strong dissipation u(tt) - M(parallel to del u parallel to(2))Delta u - Delta u(t) + h(u) + g(u) = f(x). It proves that the related continuous semigroup S(t) possesses in the phase space with low regularity a global attractor which is connected. And an example is shown.

• 出版日期2010-12-15
• 单位郑州大学