Nonlinear Hyperbolic Problems: Proceedings of an Advanced Research Workshop held in St. Etienne, France, January 13-17, 1986 (Lecture Notes in Mathematics, 1270)

The Field Of Nonlinear Hyperbolic Problems Has Been Expanding Very Fast Over The Past Few Years, And Has Applications - Actual And Potential - In Aerodynamics, Multifluid Flows, Combustion, Detonics Amongst Other. The Difficulties That Arise In Application Are Of Theoretical As Well As Numerical Nature. In Fact, The Papers In This Volume Of Proceedings Deal To A Greater Extent With Theoretical Problems Emerging In The Resolution Of Nonlinear Hyperbolic Systems Than With Numerical Methods. The Volume Provides An Excellent Up-to-date Review Of The Current Research Trends In This Area. From The Contents: B. Engquist: Computation Of Oscillatory Solutions To Partial Differential Equations -- E. Tadmor: The Entropy Dissipation By Numerical Viscosity In Nonlinear Conservative Difference Schemes -- V. Billey Et Al.: 2-d And 3-d Euler Computations With Finite Element Methods In Aerodynamics -- S.k. Godunov: Lois De Conservation Et Intégrales D'énergie Des équations Hyperboliques -- B-l. Keyfitz: A Survey Of Nonstrictly Hyperbolic Conservation Laws -- M. Rascle: Un Théorème D'existence Globale En élasticité Non Linéaire Mono-dimensionnelle -- C. Bardos: Different Approaches For The Relations Between The Kinetic And The Macroscopic Equations -- J.m. Greenberg: Integral Transport Processes. Edited By Claude Carasso, Denis Serre, Pierre-arnaud Raviart. Approximate solution of the generalized Riemann problem and applications....Pages 1-9 Computation of oscillatory solutions to partial differential equations....Pages 10-22 Preliminary results on the extension of eno schemes to two-dimensional problems....Pages 23-40 Upwind differencing schemes for hyperbolic conservation laws with source terms....Pages 41-51 The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes....Pages 52-63 2-D and 3-D Euler computations with finite element methods in aerodynamics....Pages 64-81 A “box-scheme” for the euler equations....Pages 82-102 Numerical techniques in elastoplasticity....Pages 103-114 An implicit centered scheme which gives non-oscillatory steady shocks....Pages 115-127 A computer-aided system for investigation and construction of difference schemes of gas dynamics....Pages 128-134 Lois de conservation et integrales d'energie des equations hyperboliques....Pages 135-149 On symmetrizing hyperbolic differential equations....Pages 150-151 A survey of nonstrictly hyperbolic conservation laws....Pages 152-162 Admissibility criteria for phase boundaries....Pages 163-171 The transformation from Eulerian to Lagrangian coordinates for solutions with discontinuities....Pages 172-180 Two existence theorems for systems of conservation laws with dissipation....Pages 181-194 Global solutions to some free boundary problems for quasilinear hyperbolic systems and applications....Pages 195-209 Un theoreme d'existence globale en elasticite non lineaire mono-dimensionnelle....Pages 210-220 A nonhomogeneous system of equations of nonisentropic gas dynamics....Pages 221-237 Far field boundary conditions for steady state solutions to hyperbolic systems....Pages 238-252 Can hyperbolic systems of conservation laws be well-posed in BV(R;R N )?....Pages 253-264 Propagation des oscillations dans les systemes hyperboliques non lineaires....Pages 265-285 Stability and decay in systems of conservation laws....Pages 286-307 Different approach for the relation between the kinetic and the macroscopic equations....Pages 308-323 Integrable transport processes....Pages 324-341 Edited By C. Carasso, P.-a. Raviart, D. Serre. English And French. Papers Presented At The International Conference On Non-linear Hyperbolic Problems, Held In Saint-etienne, France, Jan. 13-17, 1986. Includes Bibliographies.