Criteria for singularities of smooth maps from the plane into the plane and its applications

2009/05/15 by Kentaro Saji, Saji, Kentaro · 1 citation
Economics, Econometrics and Finance · Mathematics · #57R45 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Navier-Stokes equation solutions #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.0905.2455

openalex publication_date 2009/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We shall give useful criteria of lips, beaks and swallowtail singularities of smooth map from the plane into the plane. As an application of criteria, we will discuss the singularities of Cauchy problem of single conservation law.

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• Affine connections and singularities of tangent surfaces to space curves

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