非线性边界条件下反应-扩散方程组全局吸引子的存在性  

Existence of global attractor for reaction-diffusion equations under nonlinear boundary conditions

作　　者：李晓军[1] 孙中喜[1] 

机构地区：[1]河海大学理学院

出　　处：《河海大学学报（自然科学版）》2008年第6期867-870,共4页Journal of Hohai University(Natural Sciences)

摘　　要：考虑在非线性边界条件下反应-扩散方程组解的渐近行为,当非线性项f,g满足一定的条件时,得到反应-扩散方程组存在有界吸收集.利用反应-扩散方程组解的正则性,证明了在强耗散和弱耗散条件下全局吸引子的存在性.The asymptotic behaviors of solutions to the reaction-diffusion equations under nonlinear boundary conditions were taken into account. There existed a bounded absorbing set for the reaction-diffusion equations when the nonlinear terms f and g satisfied certain conditions. Using the regularity of the solutions, the existence of global attractor for the reaction-diffusion equations under strong or weak dissipative conditions were proved.

关 键 词：反应-扩散 非线性边界条件 吸引子 

分 类 号：O175.29[理学—数学]