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...

Mô tả đầy đủ

Chi tiết về thư mục
Những tác giả chính: Carrillo, JA, Esposito, A, Wu, JS-H
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: Springer Nature 2024