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Contributions to Books:

M. Bukal, A. Jüngel, D. Matthes:
"Entropies for radially symmetric higher-order nonlinear diffusion equations";
in: "ASC Report 11/2010", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2010, ISBN: 978-3-902627-03-2, 1 - 28.



English abstract:
A previously developed algebraic approach to proving entropy production inequalities is extended to deal with radially symmetric solutions for a class of higher-order diffusion equations in multiple space dimensions. In application of the method, novel a priori estimates are derived for the thin-film equation, the fourth-order
Derrida-Lebowitz-Speer-Spohn equation, and a sixth-order quantum diffusion equation.


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2010/asc11x2010.pdf


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