Aec Computing and Applied Mathematics Center (Classic Reprint) - Softcover

Cathleen S. Morawetz

 
9781332153404: Aec Computing and Applied Mathematics Center (Classic Reprint)

Synopsis

Understand shock waves in magneto-hydrodynamics and how friction changes the flow

Learn how a two-fluid, one-dimensional model combines conservation laws and Maxwell’s equations to study shock profiles. This work shows how a friction term can enable a complete analysis and what conditions produce physically meaningful solutions behind a shock.

Using a set of integrated equations and carefully chosen boundary conditions, the study reduces complex motion to a pair of dependent variables. It links fluid speeds, pressures, and fields to reveal how shocks form and how their structure is shaped by key parameters. The approach emphasizes practical constraints and the mathematical behavior near critical points, offering a clear framework for analyzing shock transitions in magnetized plasmas.

  • Derives the reduced form of motion and energy equations for a two-phase fluid with scalar pressures
  • Explains how friction influences the existence and shape of shock profiles
  • Describes boundary conditions and constants that determine the state behind a shock
  • Discusses the mathematical nature of singularities and how they affect solutions

Ideal for readers interested in applied mathematics, fluid dynamics, and plasma physics who want a rigorous, model-based view of shock waves in magnetized media.

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Other Popular Editions of the Same Title

9780332025551: Aec Computing and Applied Mathematics Center (Classic Reprint)

Featured Edition

ISBN 10:  0332025551 ISBN 13:  9780332025551
Publisher: Forgotten Books, 2018
Hardcover