Geodesic
Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 76-87

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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 
@article{TM_2020_308_a5,
     author = {I. A. Bogaevsky and D. V. Tunitsky},
     title = {Singularities of {Multivalued} {Solutions} of {Quasilinear} {Hyperbolic} {Systems}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {76--87},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a5/}
}
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I. A. Bogaevsky; D. V. Tunitsky. Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 76-87. http://geodesic.mathdoc.fr/item/TM_2020_308_a5/