Global nonlinear stability of longitudinal wave for the planar motion of elastic string with linear Hooke's law.

  • Published In: Studies in Applied Mathematics, 2023, v. 150, n. 2. P. 321 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Liu, Jianli; Zhao, Xinyu; Wu, Kunlai 3 of 3

Abstract

In this paper, we consider the global nonlinear stability of longitudinal wave for the planar motion of elastic string with linear Hooke's law. First, we will give the representation of the traveling wave solution to the recast hyperbolic system. Then, by using the weighted function method, we obtain the global stability of longitudinal wave solution for nonlinear elastic string equation. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Studies in Applied Mathematics. 2023/02, Vol. 150, Issue 2, p321
  • Document Type:Article
  • Subject Area:Law
  • Publication Date:2023
  • ISSN:0022-2526
  • DOI:10.1111/sapm.12541
  • Accession Number:161825112
  • Copyright Statement:Copyright of Studies in Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.