报告题目:Global solution with polynomial tail for the Boltzmann equation in the whole space
报 告 人:李宗广博士(香港中文大学数学系)
报告时间:2023年11月25日(星期六)上午11:00-12:00
报告地点:四号楼4224
邀 请 人:刘锐
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数学学院
2023年11 月20日
报告摘要:We are concerned with the Cauchy problem on the Boltzmann equation in the whole space. The goal is to construct global-in-time solutions near Maxwellians with the perturbation admitting a polynomial tail in large velocities. The full range of both hard and soft potentials can be covered. The main difficulty to be overcome in case of the whole space is the polynomial time decay of solutions which is much slower than the exponential rate in contrast with the torus case.