Solutions of Three-Dimensional Stationary Gas Dynamics Equations

2025/11/16 by О. В. Капцов, Kaptsov, O. V.
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Aquatic and Environmental Studies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fluid dynamics and aerodynamics studies #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2511.12458

openalex publication_date 2025/11/16 · openalex created_date 2025/11/19 · openalex updated_date 2026/07/28

Abstract

This paper examines the three-dimensional stationary equations of a polytropic gas and employs symmetry methods to construct exact analytical solutions. In the Chaplygin gas case, the analysis yields a highly general solution family depending on three arbitrary functions, while the general adiabatic index formulation admits explicit solutions parameterized by several constants.

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