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: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer Nature
2024
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