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

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-25
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

ArXiv.org
Navier-Stokes equation solutions
article

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

article en

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.

ArXiv.org
Affordable and clean energy
Openalex Percentile: Top 39%
Navier-Stokes equation solutions
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models · ArXiv.org (2025) | TGRS Research Map | TGRS