Existence and zero-electron-mass limit of strong solutions to the stationary compressible Navier-Stokes-Poisson equation with large external force
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4634
Abstract: In this study, we consider a viscous compressible model of plasma and semiconductors, which is expressed as a compressible Navier-Stokes-Poisson equation. We prove that there exists a strong solution to the boundary value problem of… read more here.
Keywords: poisson equation; compressible navier; stokes poisson; electron ... See more keywords
Poisson equation for genus two string invariants: a conjecture
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2021)050
Abstract: We consider some string invariants at genus two that appear in the analysis of the D8ℛ4 and D6ℛ5 interactions in type II string theory. We conjecture a Poisson equation involving them and the Kawazumi-Zhang invariant… read more here.
Keywords: string invariants; genus two; poisson equation; conjecture poisson ... See more keywords
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation
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DOI: 10.1007/s10543-025-01085-6
Abstract: A numerical dynamical low-rank approximation (DLRA) scheme for the solution of the Vlasov–Poisson equation is presented. Based on the formulation of the DLRA equations as Friedrichs’ systems in a continuous setting, it combines recently proposed… read more here.
Keywords: rank; poisson equation; rank approximation; dynamical low ... See more keywords
A Numerical Truncation Approximation with A Posteriori Error Bounds for the Solution of Poisson’s Equation
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DOI: 10.1007/s11009-025-10158-6
Abstract: The solution to Poisson’s equation arises in many Markov chain and Markov jump process settings, including that of the central limit theorem, value functions for average reward Markov decision processes, and within the gradient formula… read more here.
Keywords: truncation approximation; solution poisson; poisson equation;
An Artificial Neural Network for Solving Distributed Optimal Control of the Poisson’s Equation
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DOI: 10.1007/s11063-018-9806-8
Abstract: This paper presents a simple and efficient method based on artificial neural network to solve distributed optimal control of Poisson’s equation with Dirichlet boundary condition. The trial solutions are used to approximate the state and… read more here.
Keywords: poisson equation; control; neural network; optimal control ... See more keywords
A mass- and energy-conserved DG method for the Schrödinger-Poisson equation
Sign Up to like & getrecommendations! Published in 2022 at "Numerical Algorithms"
DOI: 10.1007/s11075-021-01139-0
Abstract: We construct, analyze, and numerically validate a class of conservative discontinuous Galerkin (DG) schemes for the Schrödinger-Poisson equation. The proposed schemes all shown to conserve both mass and energy. For the semi-discrete DG scheme the… read more here.
Keywords: poisson equation; schr dinger; dinger poisson; mass energy ... See more keywords
High-entanglement capabilities for variational quantum algorithms: the Poisson equation case
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DOI: 10.1007/s11128-025-04846-y
Abstract: The discretized Poisson equation matrix (DPEM) in 1D has been shown to require an exponentially large number of terms when decomposed in the Pauli basis when solving numerical linear algebra problems on a quantum computer.… read more here.
Keywords: quantum algorithms; variational quantum; quantum; poisson equation ... See more keywords
Lipschitz continuity for solutions of the ᾱ-Poisson equation
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DOI: 10.1007/s11425-016-9300-5
Abstract: In this paper, we study the Lipschitz continuity for solutions of the ᾱ-Poisson equation. After characterizing the boundary conditions for the Lipschitz continuity of ᾱ-harmonic mappings, we present four equivalent conditions for the (K,K′)-quasiconformal solutions… read more here.
Keywords: poisson equation; lipschitz continuity; solutions poisson; continuity solutions ... See more keywords
Compact symmetric Poisson equation discretization for non-hydrostatic sigma coordinates ocean model
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DOI: 10.1016/j.ocemod.2017.09.001
Abstract: Abstract In anticipation of relaxing the hydrostatic assumption in a sigma coordinates primitive equations ocean model, we show how a projection method can be designed with the use of a compact symmetric 15-point stencil for… read more here.
Keywords: poisson equation; discretization; model; equation ... See more keywords
Morphology of Ionic Micelles as Studied by Numerical Solution of the Poisson Equation
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DOI: 10.1021/acsomega.1c06665
Abstract: The existing concepts of the ionic micelle structure were specified. It was noted that the composition of dispersed phase particles in a liquid dispersion medium should necessarily include adsorbed counterions rigidly bound to these particles.… read more here.
Keywords: solution poisson; poisson equation; micelle; numerical solution ... See more keywords
Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5050856
Abstract: In this paper, we study a nonlinear Schrodinger-Poisson equation with critical growth in R3. Under some assumptions on potential functions, we prove that for p ∈ (3, 6), the Schrodinger-Poisson equation has ground state and… read more here.
Keywords: poisson equation; state nodal; critical growth; equation critical ... See more keywords