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Convergence from the Two-Species Vlasov-Poisson-Boltzmann System to the Two-Fluid Incompressible Navier-Stokes-Fourier-Poisson System with Ohm’s Law
In this paper, we justify the convergence from the two-species Vlasov-Poisson-Boltzmann (VPB, for short) system to the two-fluid incompressible...
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Infinitely many dichotomous solutions for the Schrödinger-Poisson system
In this paper, we consider the following Schrödinger-Poisson system where ε is a small parameter,
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Stability of transonic shocks to the Euler-Poisson system with varying background charges
This paper is devoted to studying the stability of transonic shock solutions to the Euler-Poisson system in a one-dimensional nozzle of finite...
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Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System
We study the relaxation problem for a two-fluid Euler-Poisson system. We prove the global-in-time convergence of the system for smooth solutions near...
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Existence of Optimal Control for a Class of Kirchhoff–Poisson System
We discuss an optimal control problem for the Kirchhoff–Poisson type controlled system. By using variational methods and embedding theorem, we obtain...
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Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders
Both smooth subsonic and transonic spiral flows to steady Euler–Poisson system with nonzero angular velocity and vorticity in a concentric cylinder...
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Poisson Hyperplane Processes
From now on, we restrict ourselves to Poisson hyperplane tessellations, because the independence properties inherent to Poisson processes allow us to...
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A Schrödinger–Poisson System with the Critical Growth on the First Heisenberg Group
AbstractIn this paper, we study the Schrödinger–Poisson system with the critical growth on the first Heisenberg group. With the aid of the Green’s...
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Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system
In this paper, we investigate the blow-up mechanism to the bipolar compressible Navier–Stokes–Poisson system in three dimensions. It is essentially...
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Space-time estimates of the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities
The space-time behavior for the Cauchy problem of the 3D compressible bipolar Navier-Stokes-Poisson (BNSP) system with unequal viscosities is given....
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On the Existence of Global Solutions for the Vlasov–Poisson System in a Half-space and Plasma Confinement
AbstractWe consider the Vlasov–Poisson system with external magnetic field in a half-space with the Neumann boundary condition for the electric...
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Bifurcation and regularity of entire solutions for the planar nonlinear Schrödinger–Poisson system
This paper deals with bifurcation and regularity properties of the entire solutions of the planar nonlinear Schrödinger–Poisson system in
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Poisson-Raum
Der Poisson-Prozess auf der Halbgeraden teilt viele Eigenschaften mit der Brown'schen Bewegung, da er ebenfalls stationäre und unabhängige Zuwächse...
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Asymptotic-Preserving Neural Networks for Multiscale Vlasov–Poisson–Fokker–Planck System in the High-Field Regime
The Vlasov–Poisson–Fokker–Planck (VPFP) system is a fundamental model in plasma physics that describes the Brownian motion of a large ensemble of...
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An Active Flux Method for the Vlasov-Poisson System
We deriveKiechle, Yanick-Florian anChudzik, Erik ActiveHelzel, Christiane Flux method for the 1...
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Poisson Processes
Poisson processes are particular types of random point processes. A random point process on the line (resp. in space) is, roughly speaking, a...
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On the Existence of Global Compactly Supported Weak Solutions of the Vlasov–Poisson System with an External Magnetic Field
AbstractWe consider the first mixed problem for the Vlasov–Poisson system with an external magnetic field in a domain with piecewise smooth...