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.

Homogenization of the Neumann Problem in Thick Multi-Structures of the Type 3:2:2 / DE MAIO, Umberto; Melnyk, T. A.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 28:6(2005), pp. 865-879.

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

DE MAIO, UMBERTO;
2005

Abstract

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.
2005
Homogenization of the Neumann Problem in Thick Multi-Structures of the Type 3:2:2 / DE MAIO, Umberto; Melnyk, T. A.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 28:6(2005), pp. 865-879.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/11737
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