Dafermos / Ericksen / Kinderlehrer Oscillation Theory, Computation, and Methods of Compensated Compactness

Erscheinungsjahr 2012
ISBN: 978-1-4613-8689-6
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 2, 395 Seiten, eBook

Reihe: The IMA Volumes in Mathematics and its Applications

Zielgruppe

Research

Autoren/Hrsg.

Dafermos, C.

Ericksen, J.L.

Kinderlehrer, D.

Slemrod, M.

Inhaltsverzeichnis

Convection of Microstructures by Incompressible and Slightly Compressible Flows.- Oscillations in Solutions to Nonlinear Differential Equations.- Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation.- On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes.- On the Weak Convergence of Dispersive Difference Schemes.- Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws.- On the Construction of a Modulating Multiphase Wavetrain for a Perturbed KdV Equation.- Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics.- Very High Order Accurate TVD Schemes.- Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants.- Applications of the Theory of Compensated Compactness.- A General Study of a Commutation Relation given by L. Tartar.- Interrelationships among Mechanics, Numerical Analysis, Compensated Compactness, and Oscillation Theory.- The Solution of Completely Integrable Systems in the Continuum Limit of the Spectral Data.- Stability of Finite-Difference Approximations for Hyperbolic Initial-Boundary-Value Problems.- Construction of a Class of Symmetric TVD Schemes.- Information About Other Volumes in this Program.