Singularity Formation for a System of Conservation Laws in Two Space Dimensions

We study singularity formation for the 2×2 systemut+(u2)x+(uv)y=0 andvt+(uv)x+(v2)y=0. Our analysis is based on the argument, due to J. Keller and L. Ting (1966,Comm. Pure. Appl. Math.19, 371–420), about the evolution along a characteristic of the compression rate of nearby characteristics. This sys...

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Veröffentlicht in:	Journal of mathematical analysis and applications 1996-06, Vol.200 (3), p.538-547
Hauptverfasser:	Lopes-Filho, M.C., Nussenzveig Lopes, H.J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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