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...

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Bibliografiske detaljer
Main Authors:	Carrillo, JA, Esposito, A, Wu, JS-H
Format:	Journal article
Sprog:	English
Udgivet:	Springer Nature 2024

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