The Global Existence and Large Time Behavior of Solutions to the Multidimensional Euler-Poisson Equations

Ling Hsiao (), Qiangchang Ju () and Shu Wang ()
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Ling Hsiao: CAS, Academy of Mathematics and Systems Sciences
Qiangchang Ju: CAS, Academy of Mathematics and Systems Sciences
Shu Wang: CAS, Academy of Mathematics and Systems Sciences

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 599-609 from Springer

Abstract: Abstract The global existence of smooth solutions to the Cauchy problem for the multi-dimensional Euler-Poisson equations is established, when the initial data are perturbations of a stationary solutions. Moreover, it is proved that the solution decays asymptotically in time to the stationary solution exponentially fast.

Keywords: Cauchy Problem; Global Existence; Hydrodynamic Model; Smooth Solution; Nonlocal Term (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_56

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DOI: 10.1007/978-3-642-55711-8_56

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