具有分布导数的非经典反应扩散方程的指数吸引子
Exponential Attractor for Nonclassical Reaction-Diffusion Equation with Distributed Derivative
DOI: 10.12677/AAM.2019.87150, PDF,    国家自然科学基金支持
作者: 闫丽云, 任永华*：太原理工大学数学学院，山西 晋中
关键词: 反应扩散方程；分布导数；挤压性；指数吸引子；Reaction-Di?usion Equation； Distribution Derivative； Extrusion Property； Exponential Attractor
摘要: 本文利用构造挤压性的方法，研究了一类具有分布导数的非经典反应扩散方程在齐次Neumann边界条件下，当非线性项满足任意多项式增长时，该方程指数吸引子的存在性。
Abstract: In this paper, the existence of exponential attractor for a class of nonclassical reaction-diffusion equation with distributed derivative under homogeneous Neumann boundary conditions is studied by using the method of constructing extrusion property when the nonlinear term satisfies the growth of any polynomial.
文章引用：闫丽云, 任永华. 具有分布导数的非经典反应扩散方程的指数吸引子[J]. 应用数学进展, 2019, 8(7): 1284-1290. https://doi.org/10.12677/AAM.2019.87150

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