Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models

Alfred M. Grundland; Javier de Lucas; Bartosz M. Zawora

Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models

Mathematical Physics 2025-03-26 v1 math.MP

Authors: Alfred M. Grundland , Javier de Lucas , Bartosz M. Zawora

Abstract

The aim of this paper is to perform a nonlinear stability analysis of the $(1+1)$ -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in detail the Lyapunov stability of the Chaplygin and Born-Infeld models. Particular solutions are considered and their stability is studied in order to illustrate the application of our results.

Keywords

Nambu-Goto action gas models nonlinear stability energy-Casimir method Lyapunov stability Chaplygin model Born-Infeld model particular solutions

Cite

@article{arxiv.2503.19842,
  title  = {Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models},
  author = {Alfred M. Grundland and Javier de Lucas and Bartosz M. Zawora},
  journal= {arXiv preprint arXiv:2503.19842},
  year   = {2025}
}

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14 pp

Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models

Abstract

Keywords

Cite

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