Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy

Tadeusz Nadzieja; Andrzej Raczyński

Displaying similar documents to “Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy”

The Cauchy problem for the Vlasov-Maxwell equations

Glassey, Robert T., Schaeffer, Jack (1989)

Portugaliae mathematica

Similarity:

Monotonicity of certain functionals under rearrangement

Adriano Garsia, Eugène Rodemich (1974)

Annales de l'institut Fourier

Similarity:

We show here that a wide class of integral inequalities concerning functions on $[0, 1]$ can be obtained by purely combinatorial methods. More precisely, we obtain modulus of continuity or other high order norm estimates for functions satisfying conditions of the type $\int_{0}^{1} \int_{0}^{1} Ψ (\frac{f (x) - f (y)}{p (x - y)}) d x d y < \infty$ where $Ψ (u)$ and $p (u)$ are monotone increasing functions of $| u |$ . Several applications are also derived. In particular these methods are shown to yield a new condition for path continuity of general stochastic processes ...

Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem

Teresa D’Aprile (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We consider the problemwhere $Ω \subset ℝ^{3}$ is a smooth and bounded domain, $ε, γ_{1}, γ_{2} > 0,$ $v, V : Ω \to ℝ$ , $f : ℝ \to ℝ$ . We prove that this system has a $v_{ε}$ which develops, as $ε \to 0^{+}$ , a single spike layer located near the boundary, in striking contrast with the result in [37] for the single Schrödinger equation. Moreover the unique peak approaches thepart of $\partial Ω$ ,, where the boundary mean curvature assumes its maximum. Thus this elliptic system, even though it is a Dirichlet problem, acts more like a Neumann problem...

Improved estimates for the Ginzburg-Landau equation : the elliptic case

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the $G L$ -energy $E_{ε}$ and the parameter $ε$ . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.

Cylindrically symmetric Einstein-Maxwell and scalar fields and stiff fluid distributions

G. Mohanty, R. N. Tiwari, J. R. Rao (1982)

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

Similarity:

Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series

Elumalai Krishnan Nithiyanandham, Bhaskara Srutha Keerthi (2024)

Mathematica Bohemica

Similarity:

Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class $𝔭 - Φ 𝒮^{*} (t, μ, ν, J, K)$ is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.

Mean field limit for the one dimensional Vlasov-Poisson equation

Maxime Hauray (2012-2013)

Séminaire Laurent Schwartz — EDP et applications

Similarity:

We consider systems of $N$ particles in dimension one, driven by pair Coulombian or gravitational interactions. When the number of particles goes to infinity in the so called mean field scaling, we formally expect convergence towards the Vlasov-Poisson equation. Actually a rigorous proof of that convergence was given by Trocheris in [Tro86]. Here we shall give a simpler proof of this result, and explain why it implies the so-called “Propagation of molecular chaos”. More precisely, both...