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The Kac Equation with a Thermostatted Force Field

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, Göteborg, SE-412 96, Sweden

    B. Wennberg & Y. Wondmagegne

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  1. B. Wennberg
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  2. Y. Wondmagegne
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Wennberg, B., Wondmagegne, Y. The Kac Equation with a Thermostatted Force Field. J Stat Phys 124, 859–880 (2006). https://doi.org/10.1007/s10955-005-9020-8

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  • DOI: https://doi.org/10.1007/s10955-005-9020-8

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