On a System of Nonlinear Wave Equations Associated with the Helical Flows of Maxwell Fluid: Linear Approximation and Asymptotic Expansion of Solutions in Many Small Parameters

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• 作者：Le Thi Phuong Ngoc ; Cao Huu Hoa ; Nguyen Thanh Long
• 关键词：System of nonlinear wave equations ; The helical flows of Maxwell fluid ; Faedo–Galerkin method ; Linear recurrent sequence ; Asymptotic expansion in many small parameters ; 35C20 ; 35L05 ; 35L20 ; 35L70 ; 35Q80
• 刊名：Vietnam Journal of Mathematics
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：43
• 期：2
• 页码：357-384
• 全文大小：492 KB
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  14.Truong, L.X., Ngoc, L.T.P., Hoa, C.H., Long, N.T.: On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid. Nonlinear Anal. RWA 12, 3356-372 (2011)MATH MathSciNet
  
• 作者单位：Le Thi Phuong Ngoc (1)
  Cao Huu Hoa (2)
  Nguyen Thanh Long (3)
  
  1. Nhatrang Educational College, 01 Nguyen Chanh Street, Nhatrang, Khanh Hoa, Vietnam
  2. Department of Fundamental Sciences, Tra Vinh University, 126, Highway 53, Ward 5, Tra Vinh, Vietnam
  3. Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh, Vietnam
  
• 刊物主题：Mathematics, general;
• 出版者：Springer Singapore
• ISSN：2305-2228

文摘

In this paper, a system of nonlinear wave equations associated with the helical flows of Maxwell fluid is studied. Using the Faedo–Galerkin method and the linearization method for nonlinear terms, we prove the existence and uniqueness of a weak solution of the above problem. On the other hand, a new result about asymptotic expansion of high order in many small parameters of a weak solution for the present system is also given.