To infinity and some glimpses of beyond

Certain physical problems such as the rupture of a thin sheet can be difficult to solve as computations breakdown at the point of rupture. Here the authors propose a regularization approach to overcome this breakdown which could help dealing with mathematical models that have finite time singulariti...

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Main Authors:	Panayotis G. Kevrekidis, Constantinos I. Siettos, Yannis G. Kevrekidis
Format:	Article
Language:	English
Published:	Nature Publishing Group 2017-11-01
Series:	Nature Communications
Online Access:	https://doi.org/10.1038/s41467-017-01502-7

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spelling	doaj-561d6372617d4306babf3e9fdcd5cba42021-05-11T07:34:16ZengNature Publishing GroupNature Communications2041-17232017-11-018111310.1038/s41467-017-01502-7To infinity and some glimpses of beyondPanayotis G. Kevrekidis0Constantinos I. Siettos1Yannis G. Kevrekidis2Department of Mathematics and Statistics, University of Massachusetts AmherstSchool of Applied Mathematics and Physical Sciences, National Technical University of AthensDepartment of Chemical and Biological Engineering and Program in Applied and Computational Mathematics, Princeton UniversityCertain physical problems such as the rupture of a thin sheet can be difficult to solve as computations breakdown at the point of rupture. Here the authors propose a regularization approach to overcome this breakdown which could help dealing with mathematical models that have finite time singularities.https://doi.org/10.1038/s41467-017-01502-7
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Panayotis G. Kevrekidis Constantinos I. Siettos Yannis G. Kevrekidis
spellingShingle	Panayotis G. Kevrekidis Constantinos I. Siettos Yannis G. Kevrekidis To infinity and some glimpses of beyond Nature Communications
author_facet	Panayotis G. Kevrekidis Constantinos I. Siettos Yannis G. Kevrekidis
author_sort	Panayotis G. Kevrekidis
title	To infinity and some glimpses of beyond
title_short	To infinity and some glimpses of beyond
title_full	To infinity and some glimpses of beyond
title_fullStr	To infinity and some glimpses of beyond
title_full_unstemmed	To infinity and some glimpses of beyond
title_sort	to infinity and some glimpses of beyond
publisher	Nature Publishing Group
series	Nature Communications
issn	2041-1723
publishDate	2017-11-01
description	Certain physical problems such as the rupture of a thin sheet can be difficult to solve as computations breakdown at the point of rupture. Here the authors propose a regularization approach to overcome this breakdown which could help dealing with mathematical models that have finite time singularities.
url	https://doi.org/10.1038/s41467-017-01502-7
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To infinity and some glimpses of beyond

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