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. 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.