Well-posedness and asymptotic behaviour for linear magneto-thermo-elasticity with second sound

Gubisch, Martin

Well-posedness and asymptotic behaviour for linear magneto-thermo-elasticity with second sound

Dateien

Gubisch_0-322691.pdfGröße: 483.02 KBDownloads: 79

Datum

2011

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

We consider the Cauchy problem of magneto-thermo-elasticity with second sound in three space dimensions. After proving the existence of a unique solution, we use Fourier transform and multiplier methods to show polynomial decay rates for suitable initial data. We compare the qualitative and quantitative asymptotic behaviour of magneto-thermo-elasticity with second sound with that of the classical system.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

magneto-thermo-elasticity, parabolic-hyperbolic systems, well-posedness, asymptotic behavior, decay rates

Zitieren

ISO 690

GUBISCH, Martin, 2011. Well-posedness and asymptotic behaviour for linear magneto-thermo-elasticity with second sound

BibTex

@techreport{Gubisch2011Wellp-33370,
  year={2011},
  series={Konstanzer Schriften in Mathematik},
  title={Well-posedness and asymptotic behaviour for linear magneto-thermo-elasticity with second sound},
  number={349},
  author={Gubisch, Martin}
}

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