Existence and Stability for Mathematical Models of Sedimentation–Consolidation Processes in Several Space Dimensions

Contact Processes in Several Dimensions

This paper deals primarily with the basic contact processes introduced and studied by Harris [12t4] . These are random evolutions on the state space S={a l l subsets of Z a} (Zd=the d-dimensional integer lattice) with extremely simple local dynamics. Namely, if we think of the contact process (~) as representing the spread of an infection, { t eS denoting the set of infected sites at time t, th...

Existence of Solutions for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions

The Inhomogeneous Pme in Several Space Dimensions. Existence and Uniqueness of Finite Energy Solutions

We study the questions of existence and uniqueness of non-negative solutions to the Cauchy problem    ρ(x) ∂tu = ∆um in Q := Rn × R+ u(x, 0) = u0 in dimensions n ≥ 3. We deal with a class of solutions having finite energy

Spectral stability of small-amplitude viscous shock waves in several space dimensions

A planar viscous shock profile of a hyperbolic-parabolic system of conservation laws is a steady solution in a moving coordinate frame. The asymptotic stability of viscous profiles and the related vanishing-viscosity limit are delicate questions already in the well understood case of one space dimension and even more so in the case of several space dimensions. It is a natural idea to study the ...

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...