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...
| Главные авторы: | , , |
|---|---|
| Формат: | Journal article |
| Язык: | English |
| Опубликовано: |
Springer Nature
2024
|