1,721,063 research outputs found

    Homogenization of the Neumann Problem in Thick Multi-Structures of the Type 3:2:2

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    Using some special extension operator, a convergence theorem is proved for the solution to the Neumann boundary value problem for the Ukawa equation in a junction Omega(epsilon), which is the union of a domain Omega(0) and a large number N of epsilon-periodically situated thin annular disks with variable thickness of order epsilon = O(N-1), as epsilon -> 0

    Quasy-stationary ferromagnetic thin films in degenerated cases

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    In this paper we study the asymptotic behavior of a quasy-stationary ferromagnetic problem in a multi-domain consisting of two joined thin films. It is possible to distinguish different regimes depending on the limit q of the ratio between the small thickness of the two films. Here the case q=0 and q=+∞ are analyzed

    Homogenization of the Robin Problem for the Poisson Equation in a Thick Multi-structure of Type 3:2:2

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    In this paper we study a mixed boundary value problem for the Poisson equation in a multi-structure Omega(epsilon), which is the union of a domain Omega(0) and a large number N of epsilon-periodically situated thin rings with variable thickness of order epsilon=O(N-1). By using some special extension operator, we prove a convergence theorem as epsilon-->0 and investigate the asymptotic behaviour of the solution under the Robin conditions on the boundaries of the thin rings
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