On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid

Authors: Lê Xuân Trường, Lê Thị Phương Ngọc, Cao Huu Hoa, Nguyễn Thành Long,

https://doi.org/10.1016/j.nonrwa.2011.05.033

Publisher, magazine: ,

Publication year: 2011

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Abstract

The paper is devoted to the study a system of nonlinear wave equations associated with the mixed nonhomogeneous conditions. Existence of a weak solution is proved by using the Faedo–Galerkin method. Uniqueness, regularity and decay properties of solutions are also discussed.

Tags: System of nonlinear wave equations; Mixed nonhomogeneous conditions ; The helical flows of Maxwell fluid; Faedo–Galerkin method; Exponential decay