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
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. https://doi.org/10.57262/ade/1378327379
Information