Results 1 to 10 of about 51,079 (267)
Linear stability of comressible Navier-Stokes-Poisson equation
This paper studies the linear stability of Navier-Stokes-Poisson equation coupled with magnetic field by the principle of exchange of stabilities (PES). It is showed that the stability of the steady state solution is closely depend on the non-dimensional
FAN Yan-Long, WU Rui-Li
doaj
Solving 2D Poisson-type equations using meshless SPH method
In the present study, 2D Poisson-type equation is solved by a meshless Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The influence of the kernel function, smoothing length and particle discretizations of problem domain on the solutions of ...
Shuai Liu +6 more
doaj +1 more source
Alternating Asymmetric Iterative Algorithm Based on Domain Decomposition for 3D Poisson Problem
Poisson equation is a widely used partial differential equation. It is very important to study its numerical solution. Based on the strategy of domain decomposition, the alternating asymmetric iterative algorithm for 3D Poisson equation is provided.
Qiuyan Xu, Zhiyong Liu
doaj +1 more source
Estimates for $p$-Poisson equations
Estimates for solutions of equations whose model is \[ -\text{ div}(|\nabla u|^{p-2}\nabla u) = f \] are given. Here \(f\) denotes a function in the weak \(L^q\) space. As an application of the results regularity of some entropy solutions are proved.
Kilpeläinen, Tero, Li, Gongbao
openaire +3 more sources
ON A BOUNDARY-VALUE PROBLEM FOR THE POISSON EQUATION AND THE CAUCHY–RIEMANN EQUATION IN A LENS
In this paper, we consider the Dirichlet boundary-value problem for complex partial differential equations in a lens. With the help of the harmonic Green function, the Dirichlet boundary-value problem is solved explicitly for the Poisson equation in a ...
A. Darya, N. Taghizadeh
doaj +1 more source
Generalized Fokker-Planck Equation for the Modified Landau-Lifshitz Equation with Poisson White Noise [PDF]
Using the modified stochastic Landau-Lifshitz equation driven by Poisson white noise, we derive the generalized Fokker-Planck equation for the probability density function of the nanoparticle magnetic moment.
S.I. Denisov, O.O. Bondar
doaj
The exact analytic solution for the stationary two-dimensional heat conduction problem with a heat source for an infinite square bar was obtained. It was based on the Bubnov–Galyorkin orthogonal method using trigonometric systems of coordinate functions.
Igor Vasilievich Kudinov +2 more
doaj +1 more source
Solving Poisson's equation on the Microsoft HoloLens [PDF]
We present a mixed reality application (HoloFEM) for the Microsoft HoloLens. The application lets a user define and solve a physical problem governed by Poisson's equation with the surrounding real world geometry as input data. Holograms are used to visualise both the problem and the solution.
Anders Logg +2 more
openaire +3 more sources
We examine effects of the divergence of the viscous terms on the numerical results of an incompressible flow by using an exact solution of the governing equation.
Hiroki SUZUKI +2 more
doaj +1 more source
The Poisson equation from non-local to local
We analyze the limiting behavior as $s\to 1^-$ of the solution to the fractional Poisson equation $(-\Delta)^s{u_s}=f_s$, $x\in\Omega$ with homogeneous Dirichlet boundary conditions $u_s\equiv 0$, $x\in\Omega^c$. We show that $\lim_{s\to 1^-} u_s =u$,
Umberto Biccari +1 more
doaj

