Two time-weighted measures are introduced for studying the spatial behavior of the thermoelastic processes in an isotropic thermoelastic body in order to relax the hypotheses of positive definiteness on the thermoelastic coefficients. For the first measure we establish some spatial estimates describing the spatial behavior of solutions for the class of thermoelastic materials for which the Lame moduli lambda and mu range so that mu>0 and lambda>-4/3 mu. The second measure allows us to establish spatial estimates describing the spatial behavior of the thermoelastic processes in an isotropic and homogeneous thermoelastic material for which the Lame moduli range so that mu>0 and -2mu<lambda<0.
Some further growth and decay results in linear thermoelastodynamics
CIARLETTA, Michele
2003-01-01
Abstract
Two time-weighted measures are introduced for studying the spatial behavior of the thermoelastic processes in an isotropic thermoelastic body in order to relax the hypotheses of positive definiteness on the thermoelastic coefficients. For the first measure we establish some spatial estimates describing the spatial behavior of solutions for the class of thermoelastic materials for which the Lame moduli lambda and mu range so that mu>0 and lambda>-4/3 mu. The second measure allows us to establish spatial estimates describing the spatial behavior of the thermoelastic processes in an isotropic and homogeneous thermoelastic material for which the Lame moduli range so that mu>0 and -2muI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
