16 citations · 39 across the 7 of their papers we have counts for
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math.AP2018★ 16 cited
From nonlocal to local Cahn-Hilliard equation
Stefano Melchionna, Helene Ranetbauer, Luca Scarpa +1
In this paper we prove the convergence of a nonlocal version of the Cahn-Hilliard equation to its local counterpart as the nonlocal convolution kernel is scaled using suitable appr…
math.AP2018
Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint
Goro Akagi, Stefano Melchionna
The final goal of this paper is to prove existence of local (strong) solutions to a (fully nonlinear) porous medium equation with blow-up term and nondecreasing constraint. To this…