Entropies for radially symmetric higher-order nonlinear diffusion equations (CROSBI ID 193170)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bukal, Mario ; Jüngel, Ansgar ; Matthes, Daniel
engleski
Entropies for radially symmetric higher-order nonlinear diffusion equations
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 diffusion equations; thin-film equation; quantum diffusion model; polynomial decision problem; quantifier elimination
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Podaci o izdanju
9 (2)
2011.
353-382
objavljeno
1539-6746
1945-0796
10.4310/CMS.2011.v9.n2.a2