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Abstract
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.
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