output
19932026
most citedPredictions for the Rates of Compact Binary Coalescences Observable by Ground-based Gravitational-wave Detectors

1.1k citations

Showing 2021 · math.APShow all

7 papers · 2 filters

math.AP2021★ 2 cited

Sharp lower bounds for vector Allen-Cahn energy and qualitative properties of minimizes under no symmetry hypotheses

Nicholas D. Alikakos, Giorgio Fusco

We study vector minimizers u of the Allen-Cahn functional with potentials possessing N global minima defined on bounded domains, with certain geometrical features and Dirichlet con…

math.AP2021★ 1 cited

On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs

Boris Andreianov, Massimiliano Rosini, Graziano Stivaletta

This paper deals with the one-dimensional formulation of Hughes model for pedestrian flows in the setting of entropy solutions, which authorizes non-classical shocks at the locatio…

math.AP2021★ 18 cited

On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility

Simone Fagioli, Oliver Tse

We prove the well-posedness of entropy solutions for a wide class of nonlocal transport equations with nonlinear mobility in one spatial dimension. The solution is obtained as the…

math.AP2021★ 10 cited

BV solutions for a hydrodynamic model of flocking--type with all-to-all interaction kernel

Debora Amadori, Cleopatra Christoforou

We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish global existence of entropy weak solutions with concentrat…

math.AP2021

Quasi-static limit for a hyperbolic conservation law

Stefano Marchesani, Stefano Olla, Lu Xu

We study the quasi-static limit for the entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boun…

math.AP2021★ 7 cited

Kinetic SIR equations and particle limits

Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella

We present and analyze two simple -particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergenc…

math.AP2021★ 8 cited

Global time evolution of concentrated vortex rings

Paolo Buttà, Guido Cavallaro, Carlo Marchioro

We study the time evolution of an incompressible fluid with axial symmetry without swirl, assuming initial data such that the initial vorticity is very concentrated inside smal…