Linear two-phase Venttsel problems

Two Problems in non-linear PDE’s with Phase Transitions

This thesis is in the field of non-linear partial differential equations (PDE), and specifically focusing on problems which show some type of phase-transition. One of the problems deals with a multiple phase Hele-Shaw flow. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. The time evolution of the space ...

synthesis of platinum nanostructures in two phase system

چکیده پلاتین، فلزی نجیب، پایدار و گران قیمت با خاصیت کاتالیزوری زیاد است که کاربرد های صنعتی فراوانی دارد. کمپلکس های پلاتین(ii) به عنوان دارو های ضد سرطان شناخته شدند و در شیمی درمانی بیماران سرطانی کاربرد دارند. خاصیت کاتالیزوری و عملکرد گزینشی پلاتین مستقیماً به اندازه و- شکل ماده ی پلاتینی بستگی دارد. بعضی از نانو ذرات فلزی در سطح مشترک مایع- مایع سنتز شده اند، اما نانو ساختار های پلاتین ب...

Phase transitions in integer linear problems

The resolution of linear system with positive integer variables is a basic yet difficult computational problem with many applications. We consider sparse uncorrelated random systems parametrised by the density c and the ratio α = N/M between number of variables N and number of constraints M . By means of ensemble calculations we show that the space of feasible solutions endows a VanDer-Waals ph...

Two Extending Crack Problems in Linear Viscoelasticity

On Two Problems concerning Linear Transformations In

T n "0 We shall denote by Cf and C$ the closed linear manifolds spanned by { f}o and {T*'g}o, respectively; f , g being elements in H. This study is devoted to two general problems concerning the transformations T and T* which we shall call the extinction problem and the closure problem. We shall say that T has an extinction theorem if, for every f # o, it is true that the manifold Cj contains ...