Geodesic
Classical solutions to the scalar conservation law with discontinuous initial data
Jędrzej Jabłoński1
1 Institute of Applied Mathematics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 131 (2013) no. 1, pp. 1-12 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Sufficient and necessary conditions for the existence and uniqueness of classical solutions to the Cauchy problem for the scalar conservation law are found in the class of discontinuous initial data and non-convex flux function. Regularity of rarefaction waves starting from discontinuous initial data and their dependence on the flux function are investigated and illustrated in a few examples.
DOI : 10.4064/cm131-1-1
Keywords: sufficient necessary conditions existence uniqueness classical solutions cauchy problem scalar conservation law found class discontinuous initial non convex flux function regularity rarefaction waves starting discontinuous initial their dependence flux function investigated illustrated few examples

Jędrzej Jabłoński 1

1 Institute of Applied Mathematics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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 with discontinuous initial data
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Jędrzej Jabłoński. Classical solutions to the scalar conservation law
 with discontinuous initial data. Colloquium Mathematicum, Tome 131 (2013) no. 1, pp. 1-12. doi: 10.4064/cm131-1-1

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