Asymptotic behavior of solutions of a two-phase problem of microwave heating in the one-dimensional case

Asymptotic behavior of solutions of a two-phase problem of microwave heating in the one-dimensional case

The present paper is concerned with the asymptotic behavior of the system describing the material heating due to microwave radiation in the one-dimensional case. The material is assumed to have inhomogeneous structure and two-phase properties. The parabolic-hyperbolic system describing the heat in t...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2012-07, Vol.45 (3), p.141-144
Hauptverfasser: Reitmann, V., Yumaguzin, N. Yu
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The present paper is concerned with the asymptotic behavior of the system describing the material heating due to microwave radiation in the one-dimensional case. The material is assumed to have inhomogeneous structure and two-phase properties. The parabolic-hyperbolic system describing the heat in the one-dimensional case is studied. The results on the asymptotic behavior of weak solutions of the systems are obtained.
ISSN:1063-4541
1934-7855
DOI:10.3103/S1063454112030053