New nonlinear separation theorems and applications in vector optimization

New theorems in vector calculus

Two well known theorems in 3D vector calculus are Gauss’s divergence theorem (actually valid in n dimensions), and Stokes’ theorem. We find new ones. They have interesting consequences in elementary classical electromagnetism. There is a natural way to classify possible theorems of this kind and we have found every theorem the classification admits. These theorems ought to be in the usual under...

Hahn-Banach, Sandwich and Separation Theorems for Invariant Functionals with Values in Ordered Vector Spaces and Applications to Nonlinear Vector Programming

Optimization of Bistability in Nonlinear Chalcogenide Fiber Bragg Grating for All Optical Switch and Memory Applications

We solve the coupled mode equations governing the chalcogenide nonlinear fiber Bragg gratings (FBGs) numerically, and obtain the bistability characteristics. The characteristics of the chalcogenide nonlinear FBGs such as: switching threshold intensity, bistability interval and on-off switching ratio are studied. The effects of FBG length and its third order nonlinear refractive index on FBG cha...

economic optimization and energy consumption in tray dryers

دراین پروژه به بررسی مدل سازی خشک کردن مواد غذایی با استفاده از هوای خشک در خشک کن آزمایشگاهی نوع سینی دار پرداخته شده است. برای آنالیز انتقال رطوبت در طی خشک شدن به طریق جابجایی، یک مدل لایه نازک برای انتقال رطوبت، مبتنی بر معادله نفوذ فیک در نظر گفته شده است که شامل انتقال همزمان جرم و انرژی بین فاز جامد و گاز می باشد. پروفایل دما و رطوبت برای سه نوع ماده غذایی شامل سیب زمینی، سیب و موز در طی...

Relative volume comparison theorems in Finsler geometry and their applications

We establish some relative volume comparison theorems for extremal volume forms of‎ ‎Finsler manifolds under suitable curvature bounds‎. ‎As their applications‎, ‎we obtain some results on curvature and topology of Finsler manifolds‎. ‎Our results remove the usual assumption on S-curvature that is needed in the literature‎.