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Sharp regularizing estimates for the gain term of the Boltzmann collision operator

编辑:wfy 时间:2018年12月20日 访问次数:304

标题:Sharp regularizing estimates for the gain term of the Boltzmann collision operator
报告人:江金城 清华大学(新竹)
报告时间:2018年12月22日上午11:00-12:00
报告地点:欧阳楼316
摘要:We prove the sharp regularizing estimates for the gain term of the Boltzmann collision operator including hard sphere, hard potential and Maxwell molecule models.

Our new estimates characterize both regularization and convolution properties of the gain term and have the following features. The regularizing exponent is sharp both in the $L^2$ based inhomogeneous and homogeneous Sobolev spaces which is exact the exponent of the kinetic part of collision kernel. The functions in these estimates belong to a wider scope of (weighted) Lebesgue spaces than the previous regularizing estimates. Furthermore, for the estimates in homogeneous Sobolev spaces, we only need functions lying in Lebesgue spaces instead of weighted Lebesgue spaces, i.e., no loss of weight occurs in this case.

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联系人:王成波老师(wangcbo@zju.edu.cn)