Hyberbolic Problems - Theory, Numerics, Applications

The intellectual centre of this proceedings volume is the subject of conservation laws. Conservation laws are the most basic model of many continuum processes, and for this reason they govern the motion of fluids, solids and plasma. They are basic to the understanding of more complex modelling issues, such as multiphase flow, chemically reacting flow and non-equilibrium thermo-dynamics. Equations of this type also arise in novel and unexpected areas, such as the pattern recognition and image processing problem of edge enhancement and detection. The articles in this volume address the entire range of the study of consevation laws, including the fundamental mathematical theory, familiar and novel applications, and the numerical problem of finding effective computational algorithms for the solution of these problems.

ISBN 9810224419   DEWEY edition DC21 ISBN13 9789810224417 (What's this?)   Pages 508 Publisher World Scientific Publishing Co Pte Ltd   Volumes 001 Imprint World Scientific Publishing Co Pte Ltd   Weight (grammes) 816 Format Hardback   Published in Singapore Publication date 03 Jan 1996   Height (mm) 229 Library of Congress QA377   Width (mm) 165 DEWEY 532.05015153   Academic level Postgraduate, Professional / Scholarly

		Organizing Committee
		Singularities and Interfacial Patterns in Hele-Shaw Flows by G. Baker and M. Siegel and S. Tanveer		1
		Phase Transitions in Self-Gravitating Relativistic Fluids by D. Christodoulou		16
		On the Courant-Friedrichs-Lewy Condition Equipped with Order for Hyperbolic Differential Equations by R. Jeltsch and R. Renaut and J. H. Smit		30
		Nonuniqueness of Solutions of Riemann Problems Caused by 2-Cycles of Shock Waves by B. J. Plohr and A. Azevedo and D. Marchesin and K. Zumbrun		43
		Reservoir Simulation by Front Tracking by N. H. Risebro and T. Gimse and H. Holden		52
		A Survey of Granular Flow by D. G. Schaeffer		63
		Shock-Waves and Irreversibility in Einstein's Theory of Gravity by J. Smoller and B. Temple		81
		An Accuracy Test of a Cartesian Grid Method for Steady Flow in Complex Geometrics by M. Berger and J. Melton		91
		Shock Capturing and Global Solutions to the Compressible Euler Equations with Geometrical Structure by G. Q. Chen and J. Glimm		101
		Theory of Conservation Laws in China by X. Ding		110
		Stability of Non-Classical Shock Waves by H. Freistuhler		120
		The Application of Front Tracking to the Simulation of Shock Refractions and Shock Accelerated Interface Mixing by J. W. Grove and R. L. Holmes and D. H. Sharp		130
		Images and Movies Scale-Spaces by F. Guichard and J. M. Morel		137
		Discontinuous Solutions of the Navier-Stokes Equations for Multidimensional, Isentropic Flow by D. Hoff		148
		Nonlinear Diffusive Phenomena of Solutions for the System of Compressible Adiabetic Flow by L. Hsiao		158
		Numerical Calculation of the Flux Across an Interface between Two Rock Types of a Porous Medium for a Two-Phase Flow by J. Jaffre		165
		A Bifurcation Diagram for Oblique Shock Interactions in the Unsteady Transonic Small Disturbance Equation by B. L. Keyfitz and S. Canic and D. H. Wagner		178
		CLAWPACK - A Software Package for Solving Multi-Dimensional Conversation Laws by R. J. Le Veque		188
		More...

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