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Some Recent Studies on the Boltzmann Equation without Angular Cutoff
澳门新葡8455最新网站:2014年08月21日 00:00 点击数:

报告人:杨 彤

报告地点:澳门新葡8455最新网站615室

报告澳门新葡8455最新网站:2014年08月29日星期五08:30-09:30

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报告摘要:

After reviewing some recent progress on the Boltzmann equation without angular cutoff, we will present some recent progress on the measure value solutions. The celebrated H- Theorem implies that the large time behavior of solutions to the Boltzmann equation is given by an equilibrium state given in the form of a Maxwellian distribution. This has been justified in verious setting together with convergence rate when the initial energy is finite. On the other hand, wthen the initial energy is infinite, other time asymptotic states in the form of self-similar solutions are obtained and the convergence is justified for the spatially homogeneous Boltzmann equation with Maxwellian type cross sections for the measure value solutions. This is a joint work with Yoshinori Morimoto and Huijiang Zhao.

主讲人概况:

杨彤,香港城市大学数学教授、国家自然科学奖二等奖获得者、国际知名偏微分方程专家。

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