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6 papers · 2 filters
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.…
Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients
Hongjie Dong, Seongmin Jeon, Stefano Vita
In this paper, we study degenerate or singular elliptic equations in divergence form Whe…
Higher order boundary Harnack principles in Dini type domains
Seongmin Jeon, Stefano Vita
Aim of this paper is to provide higher order boundary Harnack principles [De Silva-Savin 15] for elliptic equations in divergence form under Dini type regularity assumptions on bou…
Nonlocal anisotropic interactions of Coulomb type
Maria Giovanna Mora
In this paper we review some recent results on nonlocal interaction problems. The focus is on interaction kernels that are anisotropic variants of the classical Coulomb kernel. In…
Effects of surface tension and elasticity on critical points of the Kirchhoff-Plateau problem
Giulia Bevilacqua, Chiara Lonati
We introduce a modified Kirchhoff-Plateau problem adding an energy term to penalize shape modifications of the cross-sections appended to the elastic midline. In a specific setting…
Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media
Théophile Chaumont-Frelet, Andrea Moiola, Euan A. Spence
We consider the time-harmonic Maxwell equations posed in . We prove a priori bounds on the solution for coefficients and satisfying certain monoton…