output
19952026
Showing 2023 · math.APShow all

8 papers · 2 filters

math.AP2023★ 7 cited

Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions

Pierluigi Colli, Patrik Knopf, Giulio Schimperna +1

We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium.…

math.AP2023★ 3 cited

Symmetrization results for general nonlocal linear ellipitic and parabolic problems

Vincenzo Ferone, Gianpaolo Piscitelli, Bruno Volzone

We establish a Talenti-type symmetrization result in the form of mass concentration (i.e. integral comparison) for very general linear nonlocal elliptic problems, equipped with hom…

math.AP2023★ 3 cited

Lattice tilings minimizing nonlocal perimeters

Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga

We prove the existence of periodic tessellations of minimizing a general nonlocal perimeter functional, defined as the interaction between a set and its complement t…

math.AP2023★ 9 cited

Schrödinger-Maxwell equations driven by mixed local-nonlocal operators

Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1

In this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schröding…

math.AP2023

Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states

Charles Elbar, Benoît Perthame, Andrea Poiatti +1

The link between compressible models of tissue growth and the Hele-Shaw free boundary problem of fluid mechanics has recently attracted a lot of attention. In most of these models,…

math.AP2023★ 7 cited

Variational worn stones

Graziano Crasta, Ilaria Fragalà

We introduce an evolution model à la Firey for a convex stone which tumbles on a beach and undertakes an erosion process depending on some variational energy, such as torsional rig…

math.AP2023★ 10 cited

Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators

Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1

Classical results concerning Klein-Gordon-Maxwell type systems are shortly reviewed and generalized to the setting of mixed local-nonlocal operators, where the nonlocal one is allo…

math.AP2023★ 9 cited

The 3D strict separation property for the nonlocal Cahn-Hilliard equation with singular potential

Andrea Poiatti

We consider the nonlocal Cahn-Hilliard equation with singular (logarithmic) potential and constant mobility in three-dimensional bounded domains and we establish the validity of th…