Multidimensional Hyperbolic Problems and Computations

James Glimm, Professor Andrew J Majda (Herausgeber)

Buch | Hardcover

386 Seiten

1990
Springer-Verlag New York Inc.
9780387974859 (ISBN)

Titel ist leider vergriffen;
keine Neuauflage

Artikel merken

This volume is the proceedings of a two week workshop on multidimensional hyperbolic problems held during April 1989. The twenty-six papers in this volume emphasize the interdisciplinary nature of contemporary research in this field involving combinations of ideas from the theory of nonlinear partial differential equations, asymptotic methods, numerical computation and experiments. This volume includes several expository papers on asymptotic methods such as nonlinear geometric optics, a number of articles applying numerical algorithms such as higher order Godunov methods and front tracking to physical problems along with comparison to experimental data, and also several interesting papers on the rigorous mathematical theory of shock waves. In addition, there are two papers in the book devoted to open problems with this interdisciplinary emphasis. This book should be very interesting for any researcher pursuing modern developments in the theory and applications of hyperbolic conservation laws.

Macroscopic limits of kinetic equations.- The essence of particle simulation of the Boltzmann equation.- The approximation of weak solutions to the 2-D Euler equations by vortex elements.- Limit behavior of approximate solutions to conservation laws.- Modeling two-phase flow of reactive granular materials.- Shocks associated with rotational modes.- Self-similar shock reflection in two space dimensions.- Nonlinear waves: overview and problems.- The growth and interaction of bubbles in Rayleigh-Taylor unstable interfaces.- Front tracking, oil reservoirs, engineering scale problems and mass conservation.- Collisionless solutions to the four velocity Broadwell equations.- Anomalous reflection of a shock wave at a fluid interface.- An application of connection matrix to magnetohydrodynamic shock profiles.- Convection of discontinuities in solutions of the Navier-Stokes equations for compressible flow.- Nonlinear geometrical optics.- Geometric theory of shock waves.- An introduction to front tracking.- One perspective on open problems in multi-dimensional conservation laws.- Stability of multi-dimensional weak shocks.- Nonlinear stability in non-newtonian flows.- A numerical study of shock wave refraction at a CO2/CH4 interface.- An introduction to weakly nonlinear geometrical optics.- Numerical study of initiation and propagation of one-dimensional detonations.- Richness and the classification of quasilinear hyperbolic systems.- A case of singularity formation in vortex sheet motion studied by a spectrally accurate method.- The Goursat-Riemann problem for plane waves in isotropic elastic solids with velocity boundary conditions.

Erscheint lt. Verlag	19.12.1990
Reihe/Serie	Symbolic Computation ; 29
Zusatzinfo	Illustrations
Verlagsort	New York, NY
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	IMA Volumes in Mathematics and Its Applications; v. 29
ISBN-13	9780387974859 / 9780387974859
Zustand	Neuware