The Riemann Problem in Continuum Physics

This monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics. It presents the state-of-the-art on the dynamics of compressible fluids and mixtures that undergo phase changes, while remaining accessible to applied mathematicians an...

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Збережено в:
Бібліографічні деталі
Автори: LeFloch, Philippe G. (Автор), Thanh, Mai Duc (Автор)
Співавтор: SpringerLink (Online service)
Формат: Електронний ресурс eКнига
Мова:Англійська
Опубліковано: Cham : Springer International Publishing : Imprint: Springer, 2023.
Редагування:1st ed. 2023.
Серія:Applied Mathematical Sciences, 219
Предмети:
Онлайн доступ:https://doi.org/10.1007/978-3-031-42525-7
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Зміст:
  • 1 Overview of this monograph
  • 2 Models arising in fluid and solid dynamics
  • 3 Nonlinear hyperbolic systems of balance laws
  • 4 Riemann problem for ideal fluids
  • 5 Compressible fluids governed by a general equation of state
  • 6 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic regime
  • 7 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic-elliptic regime
  • 8 Compressible fluids in a nozzle with discontinuous cross-section. Isentropic flows
  • 9 Compressible fluids in a nozzle with discontinuous cross-section. General flows
  • 10 Shallow water flows with discontinuous topography
  • 11 Shallow water flows with temperature gradient
  • 12 Baer-Nunziato model of two-phase flows
  • References
  • Index.