40 citations · 151 across the 9 of their papers we have counts for
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Local asymptotics for nonlocal convective Cahn-Hilliard equations with W^{1,1} kernel and singular potential
Elisa Davoli, Luca Scarpa, Lara Trussardi
We prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal, convective, Cahn-Hilliard equations in the case of a W^{1,1} convolution kernel and under…
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
Elisa Davoli, Luca Scarpa, Lara Trussardi
We consider a class of nonlocal viscous Cahn-Hilliard equations with Neumann boundary conditions for the chemical potential. The double-well potential is allowed to be singular (e.…
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics
Elisa Davoli, Helene Ranetbauer, Luca Scarpa +1
Existence and uniqueness of solutions for nonlocal Cahn-Hilliard equations with degenerate potential is shown. The nonlocality is described by means of a symmetric singular kernel…