Naslov
Nonlinear diffusive equations of higher order

Autori
Duering, Bertram ; Matthes, Daniel ; Milišić, Josipa Pina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources / - , 2009

Skup
3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources

Mjesto i datum
Pau, Francuska, 08.06.2009. - 11.06.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Higher-order diffusive equations; numerical solution; Wasserstein gradient flow; global existence of periodic solutions; algorithmic entropy construction; entropy dissipation; long-time behavior of the solutions

Sažetak
Nonlinear diffusion equations of fourth and higher order have been of interest in various fields of mathematical physics. Application range from fluid models for thin viscous films to statistical equations for quantum particles. Here we consider the fourth-order {; ; \sl Derrida-Lebowitz-Speer-Spohn (DLSS) equation}; ; and sixth-order nonlinear parabolic equation. For DLSS equation we introduce a numerical method based on a Wasserstein gradient flow. For the sixth-order equation we prove the global-in-time existence of weak nonnegative solutions in one space dimension with periodic boundary conditions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA