Maxwell's Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness of Strong Solutions - Archive ouverte HAL Access content directly
Reports (Research Report) Year : 1996

## Maxwell's Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness of Strong Solutions

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Patrick Joly

#### Abstract

In this paper we are interested in the Maxwell's equations together with the Landau-Lifchitz-Gilbert law in order to model absorbing ferromagnetic materials in 1D. Using a fixed point theorem we establish existence and uniqueness of strong global solutions in suitable spaces, namely $\hrotr$ for the electric and magnetic fields $\eg$ and $\hg$, and $\ldlic$ for the magnetization $\mg$.

#### Domains

Computer Science [cs] Other [cs.OH]

### Dates and versions

inria-00073640 , version 1 (24-05-2006)

### Identifiers

• HAL Id : inria-00073640 , version 1

### Cite

Patrick Joly, Olivier Vacus. Maxwell's Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness of Strong Solutions. [Research Report] RR-3052, INRIA. 1996. ⟨inria-00073640⟩

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