M. Bukal, A. Jüngel, D. Matthes:
"Entropies for radially symmetric higher-order nonlinear diffusion equations";
Communications in Mathematical Sciences, 9 (2010), 2; S. 353 - 382.

Kurzfassung deutsch:
Siehe englisches Abstract.

Kurzfassung englisch:
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.

Higher-order equations; thin-film equation, quantum diffusion equation

Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.