On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter

Joint Authors

Long, Nguyen Thanh
Nhan, Nguyen Huu
Ngoc, Le Thi Phuong

Source

Mathematical Problems in Engineering

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-01-22

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Civil Engineering

Abstract EN

We consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchhoff-Carrier type.

Using the Faedo-Galerkin method and the linearization method for nonlinear terms, the existence and uniqueness of a weak solution are proved.

An asymptotic expansion of high order in a small parameter of a weak solution is also discussed.

American Psychological Association (APA)

Nhan, Nguyen Huu& Ngoc, Le Thi Phuong& Long, Nguyen Thanh. 2018. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1206939

Modern Language Association (MLA)

Nhan, Nguyen Huu…[et al.]. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter. Mathematical Problems in Engineering No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1206939

American Medical Association (AMA)

Nhan, Nguyen Huu& Ngoc, Le Thi Phuong& Long, Nguyen Thanh. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1206939

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1206939