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

Autor: 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 concentration to the Cauchy problem for any BV initial data that has finite tota

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f723aa5b4c689ac05d10111d81c50549

Stringent error estimates for one-dimensional, space-dependent 2 × 2 relaxation systems

Autor: Debora Amadori, Laurent Gosse

Publikováno v: Annales de l Institut Henri Poincaré. Analyse non linéaire (2016). doi:10.1016/j.anihpc.2015.01.001
info:cnr-pdr/source/autori:Amadori, Debora; Gosse, Laurent/titolo:Stringent error estimates for one-dimensional, space-dependent 2 x 2 relaxation systems/doi:10.1016%2Fj.anihpc.2015.01.001/rivista:Annales de l Institut Henri Poincaré. Analyse non linéaire/anno:2016/pagina_da:/pagina_a:/intervallo_pagine:/volume
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2015, pp.23. ⟨10.1016/j.anihpc.2015.01.001⟩

Sharp and local L 1 a posteriori error estimates are established for so-called “well-balanced” BV (hence possibly discontinuous) numerical approximations of 2 × 2 space-dependent Jin–Xin relaxation systems under sub-characteristic condition. A

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07229ae9980f18e278e4a25f079aa9d9
https://doi.org/10.1016/j.anihpc.2015.01.001

Emergent dynamics for the kinetic Kuramoto equation

Autor: Debora Amadori, Jinyeong Park

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783319915449

In this note, we study the emergent dynamics of the kinetic Kuramoto equation, which is a mean-field limit of the Kuramoto synchronization model. For this equation, also referred to as the Kuramoto–Sakaguchi equation Lancellotti (Transp Theory Stat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d3ea60770356e01211eb0a09c013d64
http://hdl.handle.net/11697/119081

On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation

Autor: Seung-Yeal Ha, Debora Amadori, Jinyeong Park

The Kuramoto model is a prototype phase model describing the synchronous behavior of weakly coupled limit-cycle oscillators. When the number of oscillators is sufficiently large, the dynamics of Kuramoto ensemble can be effectively approximated by th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aad1820245910493c1064d46b9b105be
http://hdl.handle.net/11697/108350

Front tracking approximations for slow erosion

Autor: Debora Amadori, Wen Shen

Publikováno v: Discrete & Continuous Dynamical Systems - A. 32:1481-1502

In this paper we study an integro-differential equation describing slow erosion, in a model of granular flow. In this equation the flux is non local and depends on $x$, $t$. We define approximate solutions by using a front tracking technique, adapted

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bb67ce8fb00ef041c28ea44adc91f10
https://doi.org/10.3934/dcds.2012.32.1481