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

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  • 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.
    Mathematics Subject Classification: Primary: 35B40, 93D15.


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