On mean-field (GI/GI/1) queueing model: existence and uniqueness
نویسندگان
چکیده
منابع مشابه
Prescribing Mean Curvature: Existence and Uniqueness Problems
The results in this paper are part of a program to understand to what extent one can use mean curvature data to determine the shape of a surface in R. The first section of the paper presents some new results on a uniqueness problem suggested by Bonnet. A generic immersion is uniquely determined up to a rigid motion by its first fundamental form and its mean curvature function, but there are som...
متن کاملUniqueness of solutions for a mean field equation on torus
We consider on a two-dimensional flat torus T the following equation ∆u + ρ ( eu ∫ T e u − 1 |T | ) = 0. When the fundamental domain of the torus is (0, a) × (0, b) (a ≥ b), we establish that the constants are the unique solutions whenever ρ ≤ { 8π if b a ≥ π4 , 32 b a if b a ≤ π4 , and this result is sharp if b a ≥ π4 . A similar conclusion is obtained for general two-dimensional torus by cons...
متن کاملOn a dissolution-diffusion model. Existence, uniqueness, regularity and simulations
We perform a mathematical analysis of a model for drug dissolution-diffusion in non erodible nor swellable devices. We deduce a model and obtain a coupled nonlinear system which contains a parabolic equation for the dissolved drug and an ordinary differential equation for the solid drug, which is assumed to be distributed in the whole domain into microspheres which can differ in size. We analyz...
متن کاملExistence Results for Mean Field Equations
Let Ω be an annulus. We prove that the mean field equation −∆ψ = e ∫ Ω e−βψ in Ω
متن کاملExistence and Uniqueness for a Dislocation Model with Short-range Interactions and Varying Stress Field
In this article, we consider a coupled singular parabolic system, describing the dynamics of dislocation densities in a bounded domain. The model takes into consideration the short-range interactions between dislocations, which causes the singularity that appears under the form of dividing by a gradient term. We prove a long time existence and uniqueness under the assumption that the applied st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Queueing Systems
سال: 2019
ISSN: 0257-0130,1572-9443
DOI: 10.1007/s11134-019-09626-x