Nonlocal approximation of nonlinear diffusion equations

Nonlocal approximation of nonlinear diffusion equations

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We show that degenerate nonlinear diffusion equations can be asymptotically obtained as a limit from a class of nonlocal partial differential equations. The nonlocal equations are obtained as gradient flows of interaction-like energies approximating the internal energy. We construct weak solutions a...

Полное описание

Библиографические подробности
Главные авторы:	Carrillo, JA, Esposito, A, Wu, JS-H
Формат:	Journal article
Язык:	English
Опубликовано:	Springer Nature 2024

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