Details

Subject(s)

• Continuum mechanics—Mathematics [Browse]
• Riemann-Hilbert problems [Browse]

Author

• Thanh, Mai Duc [Browse]

Series

• 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.

Show 9 more Contents items

ISBN

• 9783031425240 (hardcover)
• 3031425243 (hardcover)

OCLC

1390774646

Statement on responsible collection description

Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...