EXISTENCE, ORTHOGONAL DECOMPOSITION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF A SYSTEM IN ELECTROMAGNETISM
12251 In this paper we consider a system of Maxwell's equations, which models the propagation of electromagnetic waves in a boundedregion of R3. First we prove the existence and uniqueness of a solution of such a system using, for this, theory of Semigroupof linear operators. We obtain, then, t...
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| Veröffentlicht in: | Ciência e natura 2014-01, Vol.36 (1), p.30 |
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| creator | Graciele de Borba Gomes Arend Marcio Violante Ferreira |
| description | 12251 In this paper we consider a system of Maxwell's equations, which models the propagation of electromagnetic waves in a boundedregion of R3. First we prove the existence and uniqueness of a solution of such a system using, for this, theory of Semigroupof linear operators. We obtain, then, the orthogonal decomposition of the electromagnetic field. Finally, using that orthogonaldecomposition and choosing an appropriate multiplier, we show that the total energy of the system decays exponentially to zero ast ! ¥. The method presented in this paper is quite different from those that appear in the literature related to this subject. |
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| language | por |
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| source | Alma/SFX Local Collection; EZB Electronic Journals Library |
| title | EXISTENCE, ORTHOGONAL DECOMPOSITION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF A SYSTEM IN ELECTROMAGNETISM |
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