四维复Ginzburg-Landau方程组解的渐近行为OA
Asymptotic Behavior of Solutions to Four-Dimensional Complex Ginzburg-Landau Equation
先用Sobolev不等式及能量估计等证明四维三次复Ginzburg-Landau方程组解的整体存在性;再用Gronwall引理和Hölder不等式等证明该方程组吸收集的存在性,并给出该方程组最大吸引子的存在性和紧连通性.
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.
颜宇;邹冉;张晓岭
河海大学数学学院,南京 211100河海大学数学学院,南京 211100河海大学数学学院,南京 211100
数理科学
复Ginzburg-Landau方程组吸引子Sobolev不等式Gronwall引理
complex Ginzburg-Landau equationattractorSobolev inequalityGronwall lemma
《吉林大学学报（理学版）》 2026 (2)
227-235,9
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:BK20230026BK20221497).
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