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19952026
Showing 2022 · math.APShow all

14 papers · 2 filters

math.AP2022★ 30 cited

Normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1

In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a -…

math.AP2022★ 1 cited

On a class of functional difference equations: explicit solutions, asymptotic behavior and applications

Nataliya Vasylyeva

For and a complex parameter we discuss a linear inhomogeneous functional difference equation with variable coefficients on a complex plane $z\in\mathbb…

math.AP2022★ 3 cited

Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries

Vittorino Pata, Sergii Siryk, Nataliya Vasylyeva

For , we analyze a linear integro-differential equation on the space-time cylinder in the unknown $$\mathbf{D}_{t}^{ν_1}(\varrho_{1}u)-\m…

math.AP2022★ 18 cited

Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions

Andrea Giorgini, Patrik Knopf

We derive a novel thermodynamically consistent Navier--Stokes--Cahn--Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible bin…

math.AP2022

Liouville-type theorems for the Lane-Emden equation in the half-space and cones

Louis Dupaigne, Alberto Farina, Troy Petitt

We prove that 0 the only classical solution of the Lane-Emden equation in the half-space which is stable outside a compact set. We also consider weak solutions and the case of gene…

math.AP2022

Isoperimetric sets and -Cheeger sets are in bijection

Marco Caroccia, Giorgio Saracco

Given an open, bounded, planar set , we consider its -Cheeger sets and its isoperimetric sets. We study the set-valued map $\mathfrak{V}:[\frac12,+\infty)\rightarrow\mathcal{…

math.AP2022★ 10 cited

Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials

Pierluigi Colli, Gianni Gilardi, Andrea Signori +1

We analyze a phase field model for tumor growth consisting of a Cahn-Hilliard-Brinkman system, ruling the evolution of the tumor mass, coupled with an advection-reaction-diffusion…

math.AP2022★ 4 cited

Asymptotic behavior of the Dirichlet energy on Poisson point clouds

Andrea Braides, Marco Caroccia

We prove that quadratic pair interactions for functions defined on planar Poisson clouds and taking into account pairs of sites of distance up to a certain (large-enough) threshold…

math.AP2022★ 4 cited

On a phase field model for RNA-Protein dynamics

Maurizio Grasselli, Luca Scarpa, Andrea Signori

A phase field model which describes the formation of protein-RNA complexes subject to phase segregation is analyzed. A single protein, two RNA species, and two complexes are consid…

math.AP2022★ 1 cited

Rotating Spirals in segregated reaction-diffusion systems

Ariel Salort, Susanna Terracini, Gianmaria Verzini +1

We give a complete characterization of the boundary traces () supporting spiraling waves, rotating with a given angular speed , which appear as singular limit…

math.AP2022★ 3 cited

Non-isothermal non-Newtonian fluids: the stationary case

Maurizio Grasselli, Nicola Parolini, Andrea Poiatti +1

The stationary Navier-Stokes equations for a non-Newtonian incompressible fluid are coupled with the stationary heat equation and subject to Dirichlet type boundary conditions. The…

math.AP2022★ 3 cited

Towards a derivation of Classical ElectroDynamics of charges and fields from QED

Zied Ammari, Marco Falconi, Fumio Hiroshima

The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agre…

math.AP2022★ 6 cited

Well-posedness for a Navier-Stokes-Cahn-Hilliard System for Incompressible Two-phase Flows with Surfactant

Andrea Di Primio, Maurizio Grasselli, Hao Wu

We investigate a diffuse-interface model that describes the dynamics of incompressible two-phase viscous flows with surfactant. The resulting system of partial differential equatio…

math.AP2022★ 7 cited

Identification of cavities and inclusions in linear elasticity with a phase-field approach

Andrea Aspri, Elena Beretta, Cecilia Cavaterra +2

In this paper, we deal with the inverse problem of the shape reconstruction of cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's me…