Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe-Reference-Cited by-同舟云学术

Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe

Published:2023-01-01 Issue:1 Volume: Page:135-143
ISSN:1024-7084
Container-title:Известия Российской академии наук. Механика жидкости и газа
language:
Short-container-title:Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza

Author:

Aksenov A. V.¹²,Druzhkov K. P.¹³

Affiliation:

1. Moscow State University

2. National Research Nuclear University MEPh

3. Moscow Institute of Physics and Technology (State University)

Abstract

The system of equations that describes one-dimensional polytropic gas flows is considered. The invariants up to the second order of characteristics of the considered system of equations are classified. The method of reducing the Cauchy problems to systems of ordinary differential equations is proposed. Examples of the solutions without gradient catastrophe are constructed using invariants of characteristics supplementary to the Riemann invariants.

Publisher

The Russian Academy of Sciences

Reference8 articles.

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