TY - JOUR
T1 - Exact Solution to the Compressible Euler System in 1-$D^∗$
AU - Zhou , Jiang
AU - Geng , Jinbo
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1237
EP - 1244
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.1237
UR - https://global-sci.org/intro/article_detail/jnma/23683.html
KW - Euler equations, compressible, exact solutions, ordinary differential equation.
AB - <p style="text-align: justify;">In this paper, the exact solution of one-dimensional isentropic Euler equations is studied. When the exponent of the state equation satisfies $\gamma = 2,$ we get an exact solution which is linear with respect to the spatial
variable $x.$ For this end, we solve some ordinary differential equations with
time dependent variable coefficients.</p>