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On the conditions for the existence of a piecewise smooth solution of the Riemann problem for one class of conservation lawsстатья
- Авторы: Aybosinova Gulmira M., Palin Vladimir Vladimirovich
- Журнал: Applicable Analysis
- Год издания: 2025
- Издательство: Taylor & Francis
- Местоположение издательства: United Kingdom
- Первая страница: 1
- Последняя страница: 18
- DOI: 10.1080/00036811.2025.2473498
- Аннотация: We study the Riemann problem for a class of conservation laws with a strongly discontinuous (in a spatial variable) flux function. Using the method of the geometric solutions, we obtain the sufficient condition for the existence of a piecewise smooth solution and describe a constructive method to obtain such a solution. Our work, in the part concerning the sufficient condition, can be considered as a generalization of the results obtained earlier by one of the authors. The necessary condition for the existence of a piecewise smooth solution, which does not depend on the choice of the admissibility condition, is also obtained.
- Добавил в систему: Палин Владимир Владимирович