HYDROMAGNETIC EQUILIBRIUM II. STABILITY IN THE VARIATIONAL FORMULATION

Hydromagnetic Equilibrium Ii. Stability in the Variational Formulation.

In a few recent papers (Woltjer," 2 Chandrasekhar3) a beginning has been made with a variational formulation of the problems of hydromagnetic equilibrium. A similar approach was followed by Kruskal and Kulsrud4 who examined the static equilibrium in a toroid from the variational point of view, making largely use of topological arguments. It seems somewhat doubtful whether this approach can be g...

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...

Quasi-variational inequality formulation of the mixed equilibrium in multiclass routing games

In the modeling of competition on networks it is usually assumed that users either behave following the Wardrop equilibrium or the Nash equilibrium concept. Nevertheless, in several equilibrium situations, for instance in urban traffic flows, intercity freight flows and telecommunication networks, a mixed behavior is observed. This paper presents a time-dependent network model shared by two typ...

Hydromagnetic Taylor–Couette flow: numerical formulation and comparison with experiment

Taylor–Couette flow in the presence of a magnetic field is a problem belonging to classical hydromagnetics and deserves to be more widely studied than it has been to date. In the nonlinear regime the literature is scarce. We develop a formulation suitable for solution of the full three dimensional nonlinear hydromagnetic equations in cylindrical geometry, which is motived by the formulation for...

Variational Formulation of Problems and Variational Methods