Wave Motion: Theory, Modelling, and Computation : Proceedings of a Conference in Honor of the 60th Birthday of Peter D. Lax

The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled ____Wave__ M__otion: theory, application and____ ____computation____ held at the mathematical Sciences Research Institute, June 9-12, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title. Front Matter....Pages i-x Lattice Vortex Models and Turbulence Theory....Pages 1-14 The Curve Shortening Flow....Pages 15-59 Lax’s Construction of Parametrices of Fundamental Solutions of Strongly Hyperbolic Operators, its Prehistory and Posthistory....Pages 60-73 The Bukiet-Jones Theory of Weak Detonation Waves in Curvilinear Geometry....Pages 74-84 Three-Dimensional Fluid Dynamics in a Two-Dimensional Amount of Central Memory....Pages 85-146 On the Nonlinearity of Modern Shock-Capturing Schemes....Pages 147-201 High Frequency Similinear Oscillations....Pages 202-216 Exact Controllability and Singular Perturbations....Pages 217-247 Transonic Flow and Compensated Compactness....Pages 248-258 Scattering Theory for the Wave Equation on a Hyperbolic Manifold....Pages 259-276 Determinants of Laplacians on Surfaces....Pages 277-294 The Small Dispersion Limit of the Korteweg-De Vries Equation....Pages 295-336 Contents: Lattice Vortex Models and Turbulence Theory The Curve Shortening Flow Lax's Construction of Parametrices of Fundamental Solutions of Strongly Hyperbolic Operators. Its Prehistory and Posthistory The Bukiet-Jones Theory of Weak Detonation Waves in Curvlinear Geometry Three-Dimensional Fluid Dynamics in a Two-Dimensional Amount of Central Memory On the Nonlinearity of Modern Shock-Capturing Schemes High Frequency Semilinear Oscillations Exact Controllability and Singular Perturbations Transonic Flow and Compensated Compactness Scattering Theory for the Wave Equation on a Hyperbolic Manifold Determinants of Laplacians on Surfaces The Small Dispersion Limit of the Korteweg-de Vries Equation. The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave M otion: theory, application and computation held at the mathematical Sciences Research Institute, June 9-12, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title.