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Volume 6, Issue 4
Exact Solution to the Compressible Euler System in 1-$D^∗$

Jiang Zhou & Jinbo Geng

DOI: 10.12150/jnma.2024.1237

J. Nonl. Mod. Anal., 6 (2024), pp. 1237-1244.

Published online: 2024-12

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  • 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.

  • Keywords

Euler equations, compressible, exact solutions, ordinary differential equation.

  • AMS Subject Headings

74G05, 35L70

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
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 -

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.

Zhou , Jiang and Geng , Jinbo. (2024). Exact Solution to the Compressible Euler System in 1-$D^∗$. Journal of Nonlinear Modeling and Analysis. 6 (4). 1237-1244. doi:10.12150/jnma.2024.1237
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