Correction to: Jordan domains with a rectifiable arc in their boundary

stability and attraction domains of traffic equilibria in day-to-day dynamical system formulation

در این پژوهش مسئله واگذاری ترافیک را از دید سیستم های دینامیکی فرمول بندی می کنیم.فرض کرده ایم که همه فاکتورهای وابسته در طول زمان ثابت باشند و تعادل کاربر را از طریق فرایند منظم روزبه روز پیگیری کنیم.دینامیک ترافیک توسط یک نگاشت بازگشتی نشان داده می شود که تکامل سیستم در طول زمان را نشان می دهد.پایداری تعادل و دامنه جذب را توسط مطالعه ویژگی های توپولوژیکی تکامل سیستم تجزیه و تحلیل می کنیم.پاید...

Stretchability of Jordan Arc Contact Systems

Vortex method for two dimensional Euler equations in bounded domains with boundary correction

The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate second order accuracy. Convergence and error estimates are proved.

Meromorphic Functions Whose Julia Sets Contain a Free Jordan Arc

In the main result of this paper we show that if the Julia set of a meromorphic function f contains a free analytic Jordan arc then it must in fact be a straight line, circle, segment of a straight line or an arc of a circle. If f is transcendental then the Julia set is unbounded and so consists of one or two straight line segments. We construct examples of functions whose Julia sets are of thi...

Equilibrium Vortex Configurations in Domains with Boundary

Given a stable configuration of point vortices for steady two-dimensional inviscid, incompressible fluid flow in a domain D, it is shown that there is another stable configuration of stationary vortices in D with vortices near the original vortices plus additional vortices near any points on the boundary where the speed of the original flow is a nonzero relative minimum.