Exact solutions to 2D isothermal Euler-Poisson equations with qualitative analysis
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DOI: 10.1016/j.cjph.2020.07.005
Abstract: Abstract The family of exact solutions with parameter λ of the 2D isothermal Euler-Poisson equations, which can be used to model the evolution of self-gravitating galaxies or gaseous stars, is investigated. By solving the Liouville… read more here.
Keywords: energy; isothermal euler; poisson equations; exact solutions ... See more keywords
Quasi-neutral limit for Euler-Poisson system in the presence of boundary layers in an annular domain
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DOI: 10.1016/j.jde.2020.06.011
Abstract: Abstract We investigate the quasi-neutral limit (the zero Debye length limit) for the Euler-Poisson system with radial symmetry in an annular domain. Under physically relevant conditions at the boundary, referred to as the Bohm criterion,… read more here.
Keywords: poisson system; neutral limit; limit; limit euler ... See more keywords
Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains
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DOI: 10.1016/j.jde.2020.07.005
Abstract: Abstract The initial boundary value problems for compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma are considered on exterior domains in this paper. With the radial symmetry assumption, the global existence of solutions to compressible Navier-Stokes-Poisson… read more here.
Keywords: compressible navier; stokes poisson; poisson euler; poisson equations ... See more keywords
Derivation of the mKdV equation from the Euler-Poisson system at critical densities
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DOI: 10.1016/j.jde.2021.02.026
Abstract: Abstract In this paper, we consider the long wavelength limit for the Euler-Poisson system arising in plasma including three species. It is demonstrated that when the plasma has critical densities, the modified Korteweg-de Vries (mKdV)… read more here.
Keywords: euler poisson; mkdv equation; poisson system;
Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity
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DOI: 10.1016/j.jde.2021.03.033
Abstract: Abstract We study the Cauchy problem for the Euler-Poisson-Darboux equation, with a power nonlinearity: u t t − u x x + μ t u t = t α | u | p , t… read more here.
Keywords: euler poisson; small data; poisson darboux; power ... See more keywords
On the regularity of the solution map of the Euler-Poisson system
Sign Up to like & getrecommendations! Published in 2019 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1806-76
Abstract: In this paper we consider the Euler-Poisson system (describing a plasma made of ions with a negligible ion temperature) on the Sobolev spaces $H^s(\R^3)$, $s > 5/2$. Using a geometric approach we show that for… read more here.
Keywords: poisson system; solution map; euler poisson;