Title | Multidimensional Hyperbolic Problems and Computations [electronic resource] / edited by James Glimm, Andrew J. Majda |
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Imprint | New York, NY : Springer New York, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9121-0 |
Descript | XIV, 386 p. online resource |
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