Nonlocal approximation of nonlinear diffusion equations

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...

詳細記述

書誌詳細
主要な著者: Carrillo, JA, Esposito, A, Wu, JS-H
フォーマット: Journal article
言語:English
出版事項: Springer Nature 2024