The Kac Equation with a Thermostatted Force Field
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- Wennberg, B. & Wondmagegne, Y. J Stat Phys (2006) 124: 859. doi:10.1007/s10955-005-9020-8
We consider the Kac equation with a thermostatted force field and prove the existence of a global in time solution that converges weakly to a stationary state. As there is no an obvious candidate for the entropy functional, in this case, the convergence result is obtained via Fourier transform techniques.
KeywordsBoltzmann equation Kac equation Gaussian thermostat
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