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November/December 2013 Some properties of shallow shells with thermal effects
F. Travessini De Cezaro, G. Perla Menzala
Adv. Differential Equations 18(11/12): 1073-1104 (November/December 2013).

Abstract

We consider a dynamical nonlinear model for shallow shells of the Marguerre--Vlasov's type in the presence of thermal effects. Results on existence and uniqueness of global weak solutions are already available. We consider the above model depending on a parameter $\varepsilon>0$ and study its weak limit as $\varepsilon\rightarrow 0^+$. The limit model turns out to be a nonlinear Timoshenko's equation with thermal effects on the manifold (the shell). We also analyze the asymptotic behavior of the total energy of the nonlinear model of Marguerre--Vlasov's type with thermal effects.

Citation

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F. Travessini De Cezaro. G. Perla Menzala. "Some properties of shallow shells with thermal effects." Adv. Differential Equations 18 (11/12) 1073 - 1104, November/December 2013.

Information

Published: November/December 2013
First available in Project Euclid: 4 September 2013

zbMATH: 1309.35166
MathSciNet: MR3129018

Subjects:
Primary: 35Q72 , 58G20 , 58Z05 , 74K25

Rights: Copyright © 2013 Khayyam Publishing, Inc.

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Vol.18 • No. 11/12 • November/December 2013
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