Classical solutions to the scalar conservation law with discontinuous initial data

Jędrzej Jabłoński. "Classical solutions to the scalar conservation law with discontinuous initial data." Colloquium Mathematicae 131.1 (2013): 1-12. <http://eudml.org/doc/284125>.

@article{JędrzejJabłoński2013,
abstract = {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.},
author = {Jędrzej Jabłoński},
journal = {Colloquium Mathematicae},
keywords = {non-convex flux function; regular rarefaction wave},
language = {eng},
number = {1},
pages = {1-12},
title = {Classical solutions to the scalar conservation law with discontinuous initial data},
url = {http://eudml.org/doc/284125},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Jędrzej Jabłoński
TI - Classical solutions to the scalar conservation law with discontinuous initial data
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 1
SP - 1
EP - 12
AB - 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.
LA - eng
KW - non-convex flux function; regular rarefaction wave
UR - http://eudml.org/doc/284125
ER -