2009arXiv (Cornell University)Open access

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

Kentaro Saji

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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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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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Available 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.

Key concepts: Gravitational singularity, Plane (geometry), Cauchy distribution, Mathematics, Mathematical analysis, Geometry, Pure mathematics

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