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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