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...
Main Authors: | Carrillo, JA, Esposito, A, Wu, JS-H |
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Format: | Journal article |
Language: | English |
Published: |
Springer Nature
2024
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