Complete Characterization of Convergence to Equilibrium for an Inelastic Kac Model

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با توجه به تحریم های بین المملی علیه صنعت بیمه ایران امکان استفاده از بازارهای بین المملی بیمه ای برای نفتکش های ایرانی وجود ندارد. از طرفی از آنجایی که یکی از نوآوری های اخیر استفاده از بازارهای مالی به منظور ریسک های فاجعه آمیز می باشد. از اینرو در این پایان نامه سعی شده است با استفاده از این نوآوری ها با طراحی اوراق اختیارات راهی نو جهت بیمه گردن نفت کش های ایرانی ارائه نمود. از آنجایی که بر...

Probabilistic Study of the Speed of Approach to Equilibrium for an Inelastic Kac Model

This paper deals with a one–dimensional model for granular materials, which boils down to an inelastic version of the Kac kinetic equation, with inelasticity parameter p > 0. In particular, the paper provides bounds for certain distances – such as specific weighted χ–distances and the Kolmogorov distance – between the solution of that equation and the limit. It is assumed that the even part of ...

Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model

The convergence to the equilibrium of the solution of the quantum Kac model for Bose-Einstein identical particles is studied in this paper. Using the relative entropy method and a detailed analysis of the entropy production, the exponential decay rate is obtained under suitable assumptions. The theoretical results are further illustrated by numerical simulations.

The Grazing Collision Limit of the Inelastic Kac Model around a Lévy-type Equilibrium

This paper is devoted to the grazing collision limit of the inelastic Kac model introduced in [PT04], when the equilibrium distribution function is a heavy-tailed Lévy-type distribution with infinite variance. We prove that solutions in an appropriate domain of attraction of the equilibrium distribution converge to solutions of a Fokker-Planck equation with a fractional diffusion operator.

Convergence to Equilibrium of a Multiscale Model for Suspensions