Underlying structure of singular perturbations on manifolds

DOI10.1016/0003-4916(81)90265-7zbMath0475.58023OpenAlexW1994531950MaRDI QIDQ1159396

Ronald E. Kates

Publication date: 1981

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(81)90265-7

zbMATH Keywords

matched asymptotic expansionsmultiple time scalesstrained coordinatesglobally uniform asymptotic approximationsingular perturbations on manifolds

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Applications of PDEs on manifolds (58J90) Partial differential equations on manifolds; differential operators (58J99) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (2)

The motion of point particles in curved spacetime ⋮ Boundary conditions for zero-rest-mass fields in curved space-time: A regularity theorem

Cites Work

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• Global analysis and general relativity
• The thickness of cylindrical shocks and the PLK method
• Geometrical spacetime perturbation theory: Regular first-order structures
• Basic Concepts Underlying Singular Perturbation Techniques
• On Lighthill’s Method of Strained Coordinates
• A Note on Lighthill’s Method of Strained Coordinates
• Necessary conditions for applicability of Poincaré-Lighthill perturbation theory
• The Poincaré–Lighthill Perturbation Technique and Its Generalizations
• The Large Scale Structure of Space-Time
• Limits of spacetimes

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