期刊论文

Pullback Attractors for the Complex Ginzburg-Landau Equations with Delays

中文

数学物理学报

1003-3998

2020

40

5

1341-1353

10.3969/j.issn.1003-3998.2020.05.020

11601522:国家自然科学基金 17CX02036A:中央高校基本科研业务费专项 2018JJ2416:湖南省自然科学基金 2018JJ2272:湖南省自然科学基金 16BSQD04:博士科研启动基金 16BSQD13:博士科研启动基金

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该文考虑带有时滞项的复Ginzburg-Landau方程解的适定性和拉回吸引子的存在性,其中非线性项满足任意$p - 1\left( {p > 2} \right)$次多项式增长.利用收缩函数方法验证解过程${\left\{ {U\left( {t,\tau } \right)} \right\}_{t \ge \tau }}$的紧性,得到${C_{{L^2}\left( \Omega \right)}}$中拉回吸引子的存在性.

In this paper,we consider the complex Ginzburg-Landau equations with hereditary effects and the nonlinear term satisfying the polynomial growth of arbitrary $p - 1\left( {p > 2} \right)$ order.We analyze the well-posedness of solutions and prove the existence of the pullback attractors in ${C_{{L^2}\left( \Omega \right)}}$ by ap...