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On the one-dimensional version of the dynamical Marguerre-Vlasov system with thermal effects

Pages: 536 - 547, Issue Special, September 2009

 Abstract        Full Text (162.0K)              

Gustavo Alberto Perla Menzala - National Laboratory of Scientific Computation, LNCC/MCT, Av. Getulio Vargas 333, Quitandinha, Petrópolis, RJ, 25651-070, Brazil (email)
Julian Moises Sejje Suárez - National Laboratory of Scientific Computation, LNCC/MCT, Av. Getulio Vargas 333, Quitandinha, Petrópolis, RJ, 25651-070, Brazil (email)

Abstract: A one dimensional version of the dynamic Marguerre-Vlasov system in the presence of thermal effects is considered. The system depends on a parameter $\epsilon>0$ in a singular way as $\epsilon\to0$. Our interest is twofold: 1) To find the limit system as $\epsilon\to0$ and 2) To study the asymptotic behavior as $t\to+\infty$ of the total energy $E_{\epsilon}(t)$ and compare it with the total energy of the limit system.

Keywords:  singular limit, uniform stabilization, one-dimensional Marguerre-Vlasov system
Mathematics Subject Classification:  Primary: 35B40, 93D15

Received: July 2008;      Revised: April 2009;      Published: September 2009.