Geodesic
Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems
Informatics and Automation, Differential equations and dynamical systems, Tome 308 (2020), pp. 76-87.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the singularities of multivalued solutions of a quasilinear hyperbolic system with two independent and two dependent variables that satisfies the strong nonlinearity condition. For such solutions we obtain a local left–right classification of their projections onto the plane of independent variables at points of finite multiplicity of rank $1$.
Keywords: quasilinear hyperbolic system, multivalued solution, strong nonlinearity condition, singularity of a projection, germ of finite multiplicity, left–right classification.
Mots-clés : gradient catastrophe 
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I. A. Bogaevsky; D. V. Tunitsky. Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems. Informatics and Automation, Differential equations and dynamical systems, Tome 308 (2020), pp. 76-87. http://geodesic.mathdoc.fr/item/TRSPY_2020_308_a5/

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