Ahomogenization result for aparabolic equationwithPreisachhysteresis
نویسنده
چکیده
[cu+ P[u]]t − div(a·∇u) = f, with Preisach hysteresis P . The functions c, a, and the density function ψ of the Preisach operator are allowed to depend also on the space variable x. The equation is homogenized by considering a sequence of equations with spatially periodic data c , a , andψ , where the spatial period converges to 0. Properties of hysteresis operators and the concept of two-scale convergence are used to show the convergence of the corresponding solutions to the solution of the homogenized problem.
منابع مشابه
عبور امواج الکترومغناطیسی از یک پلاسمای ابرچگال با نمودار ضریب گذردهی الکتریکی سهموی
In this paper, a theoretical study of electromagnetic wave passing through inhomogeneous over-dense plasma was performed. It was supposed that the plasma layer is immersed in vacuum and the plasma density has aparabolic profileform. In this way, the electric permittivity profile decreases gradually, acquires negative values, and then again becomes positive on the other side of the slab. It has ...
متن کاملRadiosynthesis of 11C-phenytoin Using a DEGDEE Solvent for Clinical PET Studies
Objective(s): Phenytoin is an antiepileptic drug that is used worldwide. The whole-body pharmacokinetics of this drug have been extensively studied using 11C-phenytoin in small animals. However, because of the limited production amounts that are presently available, clinical 11C-phenytoin PET studies to examine the pharmacokinetics of phenytoin in humans have not yet been performed. We aimed to...
متن کاملAn Example of Data Dependence Result for The Class of Almost Contraction Mappings
In the present paper, we show that $S^*$ iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method and it produces a slow convergence rate compared to the CR iteration method for the class of almost contraction mappings. We also present table and graphic to support this result. F...
متن کاملFixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.
متن کاملA generalization of Villarreal's result for unmixed tripartite graphs
In this paper we give a characterization of unmixed tripartite graphs under certain conditions which is a generalization of a result of Villarreal on bipartite graphs. For bipartite graphs two different characterizations were given by Ravindra and Villarreal. We show that these two characterizations imply each other.
متن کامل