吉林大学学报（理学版）2026，Vol.64Issue(2)：227-235,9.DOI:10.13413/j.cnki.jdxblxb.2025187
四维复Ginzburg-Landau方程组解的渐近行为
Asymptotic Behavior of Solutions to Four-Dimensional Complex Ginzburg-Landau Equation
摘要
Abstract
We first used Sobolev inequalities and energy estimates to prove the global existence of solutions to the four-dimensional cubic complex Ginzburg-Landau equation.Then,we used the Gronwall lemma and Hölder's inequality to prove the existence of the absorption set of the equation and gave both the existence and compact connectedness of the maximal attractor of the equation.关键词
复Ginzburg-Landau方程组/吸引子/Sobolev不等式/Gronwall引理Key words
complex Ginzburg-Landau equation/attractor/Sobolev inequality/Gronwall lemma分类
数理科学引用本文复制引用
颜宇,邹冉,张晓岭..四维复Ginzburg-Landau方程组解的渐近行为[J].吉林大学学报（理学版）,2026,64(2):227-235,9.基金项目
国家自然科学基金(批准号:U2340221)和江苏省自然科学基金(批准号:BK20230026 （批准号:U2340221）
BK20221497). （）
