| Inertial Manifolds for 3D Complex Ginzburg-Landau Equations with Periodic Boundary Conditions | |
Kostianko, Anna1,2; Sun, CY(孙春友)1 ; Zelik, Sergey1,3 | |
| 2023 | |
| Source Publication | INDIANA UNIVERSITY MATHEMATICS JOURNAL Impact Factor & Quartile Of Published Year The Latest Impact Factor & Quartile |
| ISSN | 0022-2518 |
| EISSN | 1943-5258 |
| Volume | 72Issue:6Pages:2403-2429 |
| page numbers | 27 |
| Abstract | We prove the existence of an Inertial Manifold for 3D complex Ginzburg-Landau equation with periodic boundary conditions as well as for a more general cross-diffusion system (if we assume the dispersive exponent is not vanishing). The result is obtained under the assumption that the parameters of the equation are chosen in such a way that the finite-time blowup of smooth solutions does not take place. For the proof of this result, we use the method of spatio-temporal averaging recently suggested in [18]. |
| Keyword | Inertial manifold dissipative system spatial averaging temporal averaging Ginzburg-Landau equation |
| Publisher | INDIANA UNIV MATH JOURNAL |
| DOI | 10.1512/iumj.2023.72.9626 |
| Indexed By | SCIE |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:001166610900006 |
| Original Document Type | Article |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/585110 |
| Collection | 数学与统计学院 |
| Affiliation | 1.Lanzhou Univ, Sch Math & Stat, 222 Tianshui South Rd, Lanzhou 730000, Gansu, Peoples R China; 2.Imperial Coll, Exhibit Rd, London 2AZ, England; 3.Univ Surrey, Dept ofMathemat, Guildford GU2 7XH, Surrey, England |
| First Author Affilication | School of Mathematics and Statistics |
| First Signature Affilication | School of Mathematics and Statistics |
| Recommended Citation GB/T 7714 | Kostianko, Anna,Sun, Chunyou,Zelik, Sergey. Inertial Manifolds for 3D Complex Ginzburg-Landau Equations with Periodic Boundary Conditions[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL,2023,72(6):2403-2429. |
| APA | Kostianko, Anna,Sun, Chunyou,&Zelik, Sergey.(2023).Inertial Manifolds for 3D Complex Ginzburg-Landau Equations with Periodic Boundary Conditions.INDIANA UNIVERSITY MATHEMATICS JOURNAL,72(6),2403-2429. |
| MLA | Kostianko, Anna,et al."Inertial Manifolds for 3D Complex Ginzburg-Landau Equations with Periodic Boundary Conditions".INDIANA UNIVERSITY MATHEMATICS JOURNAL 72.6(2023):2403-2429. |
| Files in This Item: | There are no files associated with this item. | ||||
