Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Overview

1 Scopus Citations

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Author(s)

Hui-Hui Dai
De-Xing Kong

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	313-322
Journal / Publication	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	289
Issue number	6
Publication status	Published - 29 Oct 2001

Link(s)

DOI	DOI https://doi.org/10.1016/S0375-9601(01)00629-6 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-18344403626&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(a79aa46d-84f0-4cfc-ade2-cb9089428106).html

Abstract

In this Letter, the authors introduce the concepts of nonlinear degree and partial stability for quasilinear hyperbolic systems and then prove a necessary and sufficient condition for the solution stability. An application to the system for plane elastic waves in some classical hyperelastic materials is given. For this kind of systems, some important traveling wave solutions are obtained. © 2001 Elsevier Science B.V. All rights reserved.

Research Area(s)

Hyperelastic materials, Nonlinear degree, Partial stability, Plane elastic wave, Quasilinear hyperbolic system

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Quasilinear Hyperbo... Keyphrases

Partial Stability Keyphrases

Hyperelastic Materi... Keyphrases

Nonlinear Degree Keyphrases

Plane Elastic Waves Keyphrases

Nonlinear Mathematics

Hyperbolic Systems Mathematics

applications INIS

nonlinear problems INIS

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Citation Format(s)

[ RIS ] [ BibTeX ]

Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials. / Dai, Hui-Hui; Kong, De-Xing.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 289, No. 6, 29.10.2001, p. 313-322.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Dai, H-H & Kong, D-X 2001, 'Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 289, no. 6, pp. 313-322. https://doi.org/10.1016/S0375-9601(01)00629-6

Dai, H.-H., & Kong, D.-X. (2001). Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials. Physics Letters, Section A: General, Atomic and Solid State Physics, 289(6), 313-322. https://doi.org/10.1016/S0375-9601(01)00629-6

Dai HH, Kong DX. Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials. Physics Letters, Section A: General, Atomic and Solid State Physics. 2001 Oct 29;289(6):313-322. doi: 10.1016/S0375-9601(01)00629-6

Dai, Hui-Hui ; Kong, De-Xing. / Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2001 ; Vol. 289, No. 6. pp. 313-322.