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
https://doi.org/10.1007/s10013-015-0128-0Publisher, magazine: ,
Publication year: 2015
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: System of nonlinear wave equations; The helical flows of Maxwell fluid; Faedo–Galerkin method; Linear recurrent sequence; Asymptotic expansion in many small parameters
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On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid