空间非齐次Boltzmann方程的适定性理论是Boltzmann方程数学研究中极具挑战性的难题，主要的困难是空间方向的退化性和速度方向的非局部性耦合在一起。给定一般的初始值（没有小初值的限制），目前仅有DiPerna-Lions [5]（角截断假设）和Alexandre-Villani [2]（不带角 ...

Kinetic equations serve as fundamental tools for understanding the statistical behaviour of particles within a system, bridging the microscopic world of individual particle interactions with ...

Relativistic versions of the quantum lattice Boltzmann equation are discussed. It is shown that the inclusion of nonlinear interactions requires the standard collision operator to be replaced by a ...

Special Issue No. 85: Proceedings of the 15th International Coastal Symposium, Haeundae, Busan, 13-18 May 2018 (2018), pp. 106-110 (5 pages) Published By: Coastal Education & Research Foundation, Inc.

Mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases.

Science popularization has its legends and heroes, just like any other field, though I’ve heard no plans as yet to open a Hall of Fame. Should that day come, one of the first inductees would ...