Solutions of Three-Dimensional Stationary Gas Dynamics Equations
Mathematical Physics
2025-11-18 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2511.12458,
title = {Solutions of Three-Dimensional Stationary Gas Dynamics Equations},
author = {O. V. Kaptsov},
journal= {arXiv preprint arXiv:2511.12458},
year = {2025}
}