Existence and multiplicity of normalized solutions for a class of Schrödinger‐Poisson equations with general nonlinearities
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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