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| Titel: |
Electromagnetic Processes in Doubly-Nonlinear Composites |
| Auteur: |
Visintin, A. |
| Verschenen in: |
Communications in partial differential equations |
| Paginering: | Jaargang 33 (2008) nr. 5 pagina's 808-841 |
| Jaar: |
2008-05 |
| Inhoud: |
Electromagnetic processes in inhomogeneous conductors are here described by coupling the Maxwell equations with nonlinear constitutive relations of the form [image omitted] and [image omitted], neglecting hysteresis and displacement currents. The latter equality may also account for the Hall effect. A doubly-nonlinear parabolic-hyperbolic equation is formulated, and existence of a solution is proved via approximation by time-discretization, derivation of a priori estimates, and passage to the limit via compensated compactness and compactness by strict convexity. It is then assumed that the medium is a composite that exhibits periodic oscillations in space. Convergence to a corresponding homogenized two-scale problem is proved as the oscillation period vanishes, via Nguetseng's notion of two-scale convergence. Finally this two-scale formulation is proved to be equivalent to a coarse-scale problem. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 29 van 82 gevonden artikelen
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