Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

Weak–strong uniqueness and quasi-neutral limit for Euler–Poisson equations

Authors: Qiang Li; Xianwen Zhang;

Weak–strong uniqueness and quasi-neutral limit for Euler–Poisson equations

Abstract

In this paper, we investigate the weak–strong uniqueness and quasi-neutral limit of 3D modified Euler–Poisson equations. Focusing on a weak solution called the dissipative measure-valued solution as the object of study, the global existence is established based on an energy admissibility criterion and by means of relative energy method it is shown that the weak solution and the strong solution, emanating from the same initial data, coincide as long as the latter exists. Moreover, it is proved that the weak solutions of the modified Euler–Poisson equations converge to the smooth solutions of the compressible Euler equations as Debye length tends to zero.

Related Organizations
  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!