Contributions to Books:

F. Achleitner, S. Hittmeir, Ch. Schmeiser:
"On nonlinear conservation laws with a nonlocal diffusion term";
in: "ASC Report 23/2010", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2010, ISBN: 978-3-902627-03-2.

English abstract:
Scalar one-dimensional conservation laws with a nonlocal di ffusion term corresponding
to a Riesz-Feller di fferential operator are considered. Solvability
results for the Cauchy problem with essentially bounded initial data are adapted from the case of a fractional
derivative with homogeneous symbol. The main interest of this work
is the investigation of smooth shock profi

nonlocal evolution equation, fractional derivative, travelling wave

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.