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Showing 2020 · math.APShow all

8 papers · 2 filters

math.AP2020★ 32 cited

On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction

Filippo Dell'Oro

We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and suffici…

math.AP2020★ 5 cited

A Hopf bifurcation in the planar Navier-Stokes equations

Gianni Arioli, Hans Koch

We consider the Navier-Stokes equation for an incompressible viscous fluid on a square, satisfying Navier boundary conditions and being subjected to a time-independent force. As th…

math.AP2020

Nonzero positive solutions of fractional Laplacian systems with functional terms

Stefano Biagi, Alessandro Calamai, Gennaro Infante

We study the existence of non-zero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the not…

math.AP2020★ 2 cited

Blow-up and global existence for the inhomogeneous porous medium equation with reaction

Giulia Meglioli, Fabio Punzo

We study finite time blow-up and global existence of solutions to the Cauchy problem for the porous medium equation with a variable density and a power-like reaction term. W…

math.AP2020★ 6 cited

Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation

Luca Scarpa

A Cahn-Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving flui…

math.AP2020★ 8 cited

Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces

Alberto Maione, Ariel Martin Salort, Eugenio Vecchi

In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous study of the limit as $s \uparrow 1…

math.AP2020★ 15 cited

On the Mass-Conserving Allen-Cahn Approximation for Incompressible Binary Fluids

Andrea Giorgini, Maurizio Grasselli, Hao Wu

This paper is devoted to the global well-posedness of two Diffuse Interface systems modeling the motion of an incompressible two-phase fluid mixture in presence of capillarity effe…

math.AP2020★ 12 cited

Stability of the standing waves of the concentrated NLSE in dimension two

Riccardo Adami, Raffaele Carlone, Michele Correggi +1

In this paper we will continue the analysis of two dimensional Schrödinger equation with a fixed, pointwise, nonlinearity started in [2, 13]. In this model, the occurrence of a blo…