Polynomial stability to three-dimensional magnetoelastic waves

Acta Applicandae Mathematicae

Volumn 76, Issue 3, 2003, Pages 265-281

  Muñoz Rivera, Jaime E ^a,b   De Lima Santos, Mauro ^c  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c FEDERAL UNIVERSITY OF PARÁ   (Brazil)

Author keywords

Magnetoelasticity; Polynomial stability

Indexed keywords

DATA REDUCTION; ELASTICITY; MAGNETIC FIELD EFFECTS; POLYNOMIALS;

MAGNETOELASTIC WAVES;

ELASTIC WAVES;

EID: 0038031669     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023223517930     Document Type: Article

References (10)

1. Andreou, E. and Dassios, G.: Dissipation of energy for magnetoelastic waves in a conductive medium, Quart. Appl. Math. 55 (1997), 23-39.
2. Duvaut, G. and Lions, J. L.: Inequalities in Mechanics and Physics, Grundlehren Math. Wiss. 216, Springer-Verlag, Berlin, 1976.
3. Erigen, C. A. and Maugin, G. A.: Eletrodynamics of Continua I, Springer-Verlag, New York, 1990.
4. Koch, H.: Slow decay in linear thermoelasticity, Quart. J. Appl. Math. 57(4) (2000), 601-612.
5. Lebeau, G. and Zuazua, E.: Decay rates for the three-dimensional linear system of thermoelasticity, Arch. Rat. Mech. Anal. 145 (1999), 179-231.
6. Leis, R.: Initial Boundary Value Problems in Mathematical Physics, B. G. Teubner-Verlag, Stuttgart; Wiley, Chichester, 1986.
7. Muñoz Rivera, J. E. and Racke, R.: Magneto-thermoelasticity-large time behavior for linear system, Adv. Differential Equations 6 (2001), 359-384.
8. Muñoz Rivera, J. E. and Racke, R.: Polynomial stability in two-dimensional magneto-elasticity, IMA J. Appl. Math. 66 (2001), 269-283.
9. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Diferential Equations, Springer, New York, 1983.
10. Perla Menzala, G. and Zuazua, E.: Energy decay of magnetoelastic waves in a bounded conductive medium, Asymptot. Anal. 18 (1998), 349-362.