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Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastropheстатья
- Авторы: Aksenov A.V., Druzhkov K.P.
- Журнал: Fluid Dynamics
- Том: 58
- Номер: 1
- Год издания: 2023
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 136
- Последняя страница: 144
- DOI: 10.1134/S0015462822601899
- Аннотация: 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.
- Добавил в систему: Аксенов Александр Васильевич