Existence and multiplicity of normalized solutions for a class of Schrödinger‐Poisson equations with general nonlinearities
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6140
Abstract: In this paper, we study the existence and multiplicity of standing waves with prescribed L2 ‐norm Schrödinger‐Poisson equations with general nonlinearities in R3 : i∂tψ+Δψ−κ(|x|−1*|φ|2)ψ+f(ψ)=0, where κ>0 and f is superlinear and satisfies the monotonicity… read more here.
Keywords: dinger poisson; schr dinger; existence multiplicity; equations general ... See more keywords
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
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
Asymptotic stability of stationary waves to the Navier–Stokes–Poisson equations in half line
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DOI: 10.1080/00036811.2020.1807006
Abstract: The main concern of this paper is to investigate the asymptotic stability of stationary solution to the compressible Navier–Stokes–Poisson equations with the classical Boltzmann relation in a half ... read more here.
Keywords: stability stationary; stokes poisson; asymptotic stability; poisson equations ... See more keywords
Stationary solution to stochastically forced Euler-Poisson equations in bounded domain: Part 1. 3-D insulating boundary
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DOI: 10.3934/dcds.2025041
Abstract: This paper is concerned with $3$-D stochastic Euler-Poisson equations with insulating boundary conditions forced by the Wiener process. We first establish the global existence and uniqueness of the solution to the system, then we prove… read more here.
Keywords: euler poisson; insulating boundary; solution; poisson equations ... See more keywords