Stabilities for nonisentropic euler-poisson equations

Ka Luen CHEUNG; Sen WONG

doi:10.1155/2015/494707

Stabilities for nonisentropic euler-poisson equations

Ka Luen CHEUNG
, Sen WONG

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

Abstract

We establish the stabilities and blowup results for the nonisentropic Euler-Poisson equations by the energy method. By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative. Moreover, we obtain the stabilities results for the system in the cases of attractive and repulsive forces. Copyright © 2015 Ka Luen Cheung and Sen Wong.

Original language	English
Article number	494707
Journal	The Scientific World Journal
Volume	2015
DOIs	https://doi.org/10.1155/2015/494707
Publication status	Published - Mar 2015

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title = "Stabilities for nonisentropic euler-poisson equations",

abstract = "We establish the stabilities and blowup results for the nonisentropic Euler-Poisson equations by the energy method. By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative. Moreover, we obtain the stabilities results for the system in the cases of attractive and repulsive forces. Copyright {\textcopyright} 2015 Ka Luen Cheung and Sen Wong.",

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AB - We establish the stabilities and blowup results for the nonisentropic Euler-Poisson equations by the energy method. By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative. Moreover, we obtain the stabilities results for the system in the cases of attractive and repulsive forces. Copyright © 2015 Ka Luen Cheung and Sen Wong.

UR - https://doi.org/10.1155/2015/494707

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M3 - Articles

SN - 2356-6140

VL - 2015

JO - The Scientific World Journal

JF - The Scientific World Journal

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ER -

Stabilities for nonisentropic euler-poisson equations

Abstract

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