On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation

Joint Authors

Wang, Yang
Yong, Ls
Yang, Yu
Yan, Haibo

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-09-01

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

Assuming that the initial value v 0 ( x ) belongs to the space H 1 ( R ) , we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C ( [ 0 , ∞ ) × R ) ⋂ L ∞ ( [ 0 , ∞ ) ; H 1 ( R ) ) .

The limit of the viscous approximation for the equation is used to establish the existence.

American Psychological Association (APA)

Yan, Haibo& Yong, Ls& Yang, Yu& Wang, Yang. 2014. On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1039639

Modern Language Association (MLA)

Yan, Haibo…[et al.]. On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1039639

American Medical Association (AMA)

Yan, Haibo& Yong, Ls& Yang, Yu& Wang, Yang. On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1039639

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1039639