52450

Автор(ы): 

Автор(ов): 

4

Параметры публикации

Тип публикации: 

Глава в книге

Название: 

Gas Flow with Phase Transitions: Thermodynamics and the Navier–Stokes Equations

ISBN/ISSN: 

978-3-030-17030-1

DOI: 

10.1007/978-3-030-17031-8

Наименование источника: 

  • Nonlinear PDEs, Their Geometry, and Applications

Город: 

  • Basel

Издательство: 

  • Springer Nature Switzerland AG 2019

Год издания: 

2019

Страницы: 

209-222
Аннотация
The paper has the following structure. In Sect. 6.2, we give a geometrical description of the thermodynamic state. We consider the thermodynamic state as twodimensional Lagrangian manifold, which can be defined by two equations with compatibility condition. In Sect. 6.3, we study state equations and corresponding Lagrangian manifolds for van der Waals gases and get its applicable domains with a description of phase transitions. In Sect. 6.4,we look for solutions as asymptotic expansions and analyse the zeroth and the first-order approximations. In Sect. 6.5, we show space-time domains corresponding to different phases of the medium.

Библиографическая ссылка: 

Лычагин В.В., Горинов А.А., Рооп М.Д., Тычков С.Н. Gas Flow with Phase Transitions: Thermodynamics and the Navier–Stokes Equations / Nonlinear PDEs, Their Geometry, and Applications. Basel: Springer Nature Switzerland AG 2019, 2019. С. 209-222.