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...

Podrobná bibliografie
Hlavní autoři:	Carrillo, JA, Esposito, A, Wu, JS-H
Médium:	Journal article
Jazyk:	English
Vydáno:	Springer Nature 2024

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