Remarks on stability of magneto-elastic shocks

• Autorzy: Domański W.

Identyfikatory

DOI

10.5604/12345865.1186409

Warianty tytułu

PL

Uwagi na temat magneto-sprężystych fal uderzeniowych

• Języki publikacji: EN

Abstrakty

EN

The problem of stability of plane shock waves for a model of perfect magneto-elasticity is investigated. Important mathematical properties, like loss of strict hyperbolicity and loss of genuine nonlinearity, and their consequences for the stability of magneto-elastic shocks are discussed. It is shown that some of these shocks do not satisfy classical Lax stability conditions. Both compressible and incompressible models of magneto-elasticity are discussed.

PL

Rozważono problem stabilności fal uderzeniowych dla modelu doskonałej magneto-sprężystości. Przedyskutowano ważne matematyczne własności takie jak utrata ścisłej hiperboliczności i istotnej nieliniowości oraz ich konsekwencje dla stabilności magneto-sprężystych fal uderzeniowych. Pokazano, że pewne z tych fal nie spełniają klasycznego warunku stabilności Laxa. Zanalizowano zarowno ściśliwe jak i nieściśliwe modele magneto-sprężystości.

Słowa kluczowe

EN

perfect magneto-elasticity; shock waves; stability conditions

PL

doskonała magneto-sprężystość; fale uderzeniowe; warunki stabilności

• Wydawca: Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
• Czasopismo: Biuletyn Wojskowej Akademii Technicznej
• Rocznik: 2015
• Tom: Vol. 64, nr 4
• Strony: 241--256
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Domański W.

• Military University of Technology, Faculty of Cybernetics, Institute of Mathematics and Cryptology, 2 Kaliskiego Str. 00-908 Warsaw, Poland

Bibliografia

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Uwagi

PL

Źródło finansowania pracy – działalność statutowa uczelni.