首页 | 本学科首页   官方微博 | 高级检索  
     


Steady solutions of the Kuramoto-Sivashinsky equation
Affiliation:1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People’s Republic of China;2. Department of Research and Evaluation, Kaiser Permanente Southern California, Pasadena, CA 91101, USA;1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. Department of Mathematics, Harbin Institute of Technology at Weihai, Shandong 264209, China;1. Department of Mathematics, Namal Institute, Talagang Road, Mianwali 42250, Pakistan;2. Department of Mathematics, University of Management and Technology, Lahore, Pakistan;3. Department of Computer Engineering, Biruni University, Istanbul 34025, Turkey;4. Department of Mathematics, Science Faculty, Firat University, Elazığ, 23119, Turkey;5. Department of Medical Research, China Medical University Hospital, Taichung, Taiwan
Abstract:Steady solutions of the Kuramoto-Sivashinsky equation are studied. These solutions are defined on the whole x line and propagate with a constant speed c2 in time. For large c2 it is shown that the solution is unique and has a conical form. For small c2 there is a periodic solution and an infinite set of quasi-periodic solutions as asserted by Moser's twist map theorem. Numerical computations for intermediate values of c2 suggest that below c ≈ 1.6 of every speed there is a continuum of odd quasi-periodic solutions or a Cantor set of chaotic solutions wrapped by infinite sequences of conic solutions.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号