Almost Exponential Decay near Maxwellian
نویسندگان
چکیده
By direct interpolation of a family of smooth energy estimates for solutions near Maxwellian equilibrium and in a periodic box to several Boltzmann type equations in [7–9, 11], we show convergence to Maxwellian with any polynomial rate in time. Our results not only resolve the important open problem for both the Vlasov-Maxwell-Boltzmann system and the relativistic Landau-Maxwell system for charged particles, but also lead to a simpler alternative proof of recent decay results [6] for soft potentials as well as the Coulombic interaction, with precise decay rate depending on the initial conditions.
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تاریخ انتشار 2005