Format:
1 Online-Ressource (XI, 403 Seiten)
ISBN:
9783031425257
Series Statement:
Applied mathematical sciences volume 219
Content:
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 and engineers interested in shock waves, phase boundary propagation, and nozzle flows. A large selection of nonlinear hyperbolic systems is treated here, including the Saint-Venant, van der Waals, and Baer-Nunziato models. A central theme is the role of the kinetic relation for the selection of under-compressible interfaces in complex fluid flows. This book is recommended to graduate students and researchers who seek new mathematical perspectives on shock waves and phase dynamics.
Note:
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.
Additional Edition:
ISBN 9783031425240
Additional Edition:
ISBN 9783031425264
Additional Edition:
ISBN 9783031425271
Additional Edition:
Erscheint auch als Druck-Ausgabe LeFloch, Philippe G. The Riemann problem in continuum physics Cham, Switzerland : Springer, 2023 ISBN 9783031425240
Language:
English
DOI:
10.1007/978-3-031-42525-7
