Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 219. [More in this series]

Applied mathematical sciences ; volume 219

Summary note

This monograph provides a comprehensive study of the Riemann problem for systems of conservative 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--back cover.

Bibliographic references

Includes bibliographical references (pages 383-402) and index.

Contents

Overview of this monograph

Models arising in fluid and solid dynamics

Nonlinear hyperbolic systems of balance laws

Riemann problem for ideal fluid

Compressible fluids governed by a general equation of state

Nonclassical Riemann solver with prescribed kinetics---The hyperbolic regime

Nonclassical Riemann solver with prescribed kinetics---The hyperbolic-elliptic regime

Compressible fluids in a nozzle with discontinuous cross-section: Isentropic flows

Compressible fluids in a nozzle with discontinuous cross-section---General flows

Shallow water flows with discontinuous topography

Shallow water flows with temperature gradient

Baer-Nunziato model of two-phase flows.

ISBN

9783031425240 (hardcover)

3031425243 (hardcover)

OCLC

1390774646

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