An improved local blow-up condition for Euler–Poisson equations with attractive forcing

Bin Cheng; Eitan Tadmor

doi:10.1016/j.physd.2009.08.008

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An improved local blow-up condition for Euler–Poisson equations with attractive forcing

Journal article

Peer reviewed

An improved local blow-up condition for Euler–Poisson equations with attractive forcing

Bin Cheng and Eitan Tadmor

Physica. D, Vol.238(20), pp.2062-2066

2009

DOI: https://doi.org/10.1016/j.physd.2009.08.008

Abstract

Euler–Poisson equations

Critical thresholds

Finite time blow-up

We improve the recent result of Chae and Tadmor (2008) [10] proving a one-sided threshold condition which leads to a finite-time breakdown of the Euler–Poisson equations in arbitrary dimension n .

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Title: An improved local blow-up condition for Euler–Poisson equations with attractive forcing
Creators: Bin Cheng - Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
Eitan Tadmor - Department of Mathematics, Institute for Physical Science and Technology and Center of Scientific Computation And Mathematical Modeling (CSCAMM), University of Maryland, College Park, MD 20742, USA
Publication Details: Physica. D, Vol.238(20), pp.2062-2066
Publisher: Elsevier B.V
Date published: 2009
Identifiers: 99586590502346
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

An improved local blow-up condition for Euler–Poisson equations with attractive forcing

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