@Article{JNMA-6-1237, author = {Zhou , Jiang and Geng , Jinbo}, title = {Exact Solution to the Compressible Euler System in 1-$D^∗$}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {1237--1244}, abstract = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1237}, url = {http://global-sci.org/intro/article_detail/jnma/23683.html} }