Bifurcations of Wavefronts on an r-corner II: Semi-local classification
Takaharu Tsukada
TL;DR
This paper classifies generic bifurcations of wavefront intersections generated by points on hypersurfaces, including cases with boundaries, providing a semi-local understanding of their behavior.
Contribution
It offers a semi-local classification of bifurcations of wavefront intersections on hypersurfaces with or without boundaries, extending previous local analyses.
Findings
Classification of generic bifurcations of wavefront intersections
Extension to cases with boundaries
Framework for semi-local analysis
Abstract
We give a classification of generic bifurcations of intersections of wavefronts generated by different points of a hypersurface with or without boundaries.
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Taxonomy
Topicsadvanced mathematical theories · Differential Equations and Numerical Methods · Computational Geometry and Mesh Generation