Classical solutions to the scalar conservation law with discontinuous initial data

• Autorzy: Jędrzej Jabłoński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35N05: Overdetermined systems with constant coefficients

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 131
• Numer: 1
• Strony: 1-12

Daty

wydano

2013

Twórcy

autor

Jędrzej Jabłoński

• Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm131-1-1