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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों: Carrillo, JA, Esposito, A, Wu, JS-H
स्वरूप: Journal article
भाषा:English
प्रकाशित: Springer Nature 2024