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Green’s Function and the Pointwise Behaviors of the Vlasov-Poisson-Fokker-Planck System
The pointwise space-time behaviors of the Green’s function and the global solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system in three...
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Double Layer Solutions of the Vlasov–Poisson System
We consider the boundary value problem of the stationary Vlasov–Poisson system in a half line. In another paper, we clarified completely when there...
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Approximate Controllability for Hilfer Fractional Stochastic Non-instantaneous Impulsive Differential System with Rosenblatt Process and Poisson Jumps
This paper discusses the approximate controllability of Hilfer fractional stochastic differential system involving non-instantaneous impulses with...
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Large Time Behavior of the 1D Isentropic Navier-Stokes-Poisson System
The initial value problem (IVP) for the one-dimensional isentropic compressible Navier-Stokes-Poisson (CNSP) system is considered in this paper. For...
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Hom–Jordan–Malcev–Poisson Algebras
We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called Hom–Jordan–Malcev–Poisson algebras. We show that they are...
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High Order Asymptotic Preserving and Classical Semi-implicit RK Schemes for the Euler–Poisson System in the Quasineutral Limit
In this paper, the design and analysis of high order accurate IMEX finite volume schemes for the compressible Euler–Poisson (EP) equations in the...
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Control of the Search for Observation Objects from a Spatio-Temporal Poisson Flow in a Multi-Channel Search System
AbstractThe article considers the problem of searching for objects of observation for the case, when the sequence of their appearance satisfies the...
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Functionals of Poisson Processes and Applications
In this chapter, we provide the foundations of a versatile and powerful method for treating Poisson functionals in general state spaces that leads to...
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Casimir preserving stochastic Lie–Poisson integrators
Casimir preserving integrators for stochastic Lie–Poisson equations with Stratonovich noise are developed, extending Runge–Kutta Munthe-Kaas methods....
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Lectures on Poisson Algebras
The notion of a Poisson algebra was probably introduced in the first time by A.M. Vinogradov and J. S. Krasil’shchik in 1975 under the name...
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Linear Landau Dam** for a Two Species Vlasov-Poisson System for Electrons and Ions
This paper concerns the linear Landau dam** for the two species Vlasov-Poisson system for ions and electrons near Penrose stable equilibria. The...
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On the existence of solutions for a class of nonlinear fractional Schrödinger-Poisson system: Subcritical and critical cases
In this paper, we establish the existence of standing wave solutions for a class of nonlinear fractional Schrödinger-Poisson system involving...
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On the structure of the Nehari set associated to a Schrödinger-Poisson system with prescribed mass: old and new results
In this paper we apply the fibering method of Pohozaev and the notion of extremal values introduced by Il’yasov to a Schrödinger—Poisson system, with...
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Positive Ground State Solutions for Schrödinger–Poisson System Involving a Negative Nonlocal Term and Critical Exponent
In this article, we are dedicated to study the Schrödinger–Poisson system involving a negative nonlocal term and critical exponent. Using the...
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A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field
AbstractWe consider the first mixed problem for the Vlasov–Poisson system with a homogeneous external magnetic field in an infinite cylinder. For...