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Displaying 21 – 40 of 41

On the point limit of the Pauli-Fierz model

Diego Noja, Andrea Posilicano (1999)

Annales de l'I.H.P. Physique théorique

On the theory of interaction between a moving point charge and a metal.

Kesayev, V.I., Maliev, I.N. (2010)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode

P. Degond, F. Poupaud, A. Yamnahakki (1996)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems

Mihai Bostan, Eric Sonnendrücker (2006)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We study the existence of spatial periodic solutions for nonlinear elliptic equations $- Δ u + g (x, u (x)) = 0, x \in ℝ^{N}$ where $g$ is a continuous function, nondecreasing w.r.t. $u$ . We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions $g$ are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical simulations....

Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems

Mihai Bostan, Eric Sonnendrücker (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

We study the existence of spatial periodic solutions for nonlinear elliptic equations $- Δ u + g (x, u (x)) = 0, x \in ℝ^{N}$ where g is a continuous function, nondecreasing w.r.t. u. We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions g are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical simulations. ...

Poisson-Boltzmann equation in ℝ³

A. Krzywicki, T. Nadzieja (1991)

Annales Polonici Mathematici

The electric potential u in a solute of electrolyte satisfies the equation Δu(x) = f(u(x)), x ∈ Ω ⊂ ℝ³, ${u |}_{\partial Ω} = 0$ . One studies the existence of a solution of the problem and its properties.