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

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.

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