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Existence of Infinite Energy Solution to the Inelastic Boltzmann Equation with External Force
Authors:Wei Jinbo  Zhang Xianwen
Institution:School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:In this paper, the Cauchy problem for the inelastic Boltzmann equation with external force is considered in the case of initial data with infinite energy. More precisely, under the assumptions on the bicharacteristic generated by external force, we prove the global existence of solution for small initial data compared to the local Maxwellian exp{–p|xv|2}, which has infinite mass and energy.
Keywords:inelastic Boltzmann equation  infinite energy  external force
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