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
Keywords:
nonlocal evolution equation, fractional derivative, travelling wave
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2010/asc23x2010.pdf
Created from the Publication Database of the Vienna University of Technology.