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http://dx.doi.org/10.22771/nfaa.2022.27.03.02

THE N-ORDER ITERATIVE SCHEME FOR A SYSTEM OF NONLINEAR WAVE EQUATIONS ASSOCIATED WITH THE HELICAL FLOWS OF MAXWELL FLUID

Ngoc, Le Thi Phuong (University of Khanh Hoa)
Dzung, Nguyen Vu (University of Science, Vietnam National University, Cao Thang Technical College)
Long, Nguyen Thanh (Department of Mathematics and Computer Science, University of Science)

Publication Information

Nonlinear Functional Analysis and Applications / v.27, no.3, 2022 , pp. 471-497 More about this Journal

Abstract

In this paper, we study a system of nonlinear wave equations associated with the helical flows of Maxwell fluid. By constructing a N-order iterative scheme, we prove the local existence and uniqueness of a weak solution. Furthermore, we show that the sequence associated with N-order iterative scheme converges to the unique weak solution at a rate of N-order.

Keywords

System of nonlinear wave equations; the helical flows of Maxwell fluid; Faedo-Galerkin method; N-order iterative schemes;

Citations & Related Records

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