Global Attractor for a Class of Nonlinear Generalized Kirchhoff-Boussinesq Model

In this paper, we study the long time behavior of solution to the initial boundary value problem for a class of Kirchhoff-Boussinesq model flow . We first prove the wellness of the solutions. Then we establish the existence of global attractor.

Global Attractors for a Class of Generalized Nonlinear Kirchhoff-Sine-Gordon Equation

In this paper, we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation . By a priori estimation, we first prove the existence and uniqueness of solutions to the initial boundary value conditions, and then we study the global attractors of the equation.

一类广义非线性Kirchhoff型方程的整体吸引子

该文研究了广义Kirchhoff型方程:uu+αu-βΔut-Φ(‖▽u‖2)Δu+(1+|u|2)p-1u=f(x)的初边值问题的解的长时间行为。证明上述问题对应的算子半群存在((H2⌒H10)ΧH10,(H2⌒H10)xH2⌒H10))-整体吸引子。

一致q阶增长条件

一致二阶增长条件是优化中的重要概念,已被广泛研究。近来,作为一致二阶增长条件的自然推广,用一般的正数q代替二,文献[1]引进并研究了一致q阶增长条件。本文在文献[1]的基础上,进一步考虑q-正则函数f的一致q阶增长条件,通过q-正则函数f之次微分映射af的Hölder度量正则性刻画了f的一致q阶增长条件。特别地,本文给出了?f的Hölder度量正则性所涉及模及半径与f的一致q阶增长条件涉及半径之间的确切数量关系,从而改进了一致二阶增长条件及一致q阶增长条件方面的一些现有结果。