22 citations · 81 across the 16 of their papers we have counts for
23 papers
Second-Order -Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, II
Irene Fonseca, Leonard Kreutz, Giovanni Leoni
This paper continues the study of the asymptotic development of order 2 by -convergence of the Cahn-Hilliard functional with Dirichlet boundary conditions initiated in [8]. Whi…
Second-Order -Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, I
Irene Fonseca, Leonard Kreutz, Giovanni Leoni
This paper addresses the asymptotic development of order 2 by the -convergence of the Cahn-Hilliard functional with Dirichlet boundary conditions. The Dirichlet data are assume…
Motion of Islands of Elastic Thin Films in the Dewetting Regime
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
This paper addresses a two-dimensional sharp interface variational model for solid-state dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovit…
A First Course in Fractional Sobolev Spaces
Giovanni Leoni
This book provides a gentle introduction to fractional Sobolev spaces, which play a central role in the calculus of variations, partial differential equations, and harmonic analysi…
Traveling wave solutions to the free boundary incompressible Navier-Stokes equations
Giovanni Leoni, Ian Tice
In this paper we study a finite-depth layer of viscous incompressible fluid in dimension , modeled by the Navier-Stokes equations. The fluid is assumed to be bounded below…
On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions
Giovanni Gravina, Giovanni Leoni
This paper is concerned with the study of the behavior of the free boundary for a class of solutions to a one-phase Bernoulli free boundary problem with mixed periodic-Dirichlet bo…