标题： 关于非定常广义平面 Broadwell 模型四速度初边值问题经典解的存在性与唯一性 显示英文标题

标题： Existence and uniqueness of classical solution to an initial-boundary value problem for the unsteady general planar Broadwell model with four velocities

摘要： 我们考虑了一般平面 Broadwell 模型在有限时间区间内具有四个速度的非定态问题，该问题定义在一个矩形空间域上。 我们引入一类非负初值和 Dirichlet 边界数据，这些数据有界且连续，并且它们的一阶偏导数也满足相同性质。接着，我们证明了初边值问题存在唯一一个非负连续解，该解与其一阶偏导数都同样有界。 显示英文摘要

摘要： We consider the unsteady problem for the general planar Broadwell model with four velocities in a rectangular spatial domain over a finite time interval. We impose a class of non-negative initial and Dirichlet boundary data that are bounded and continuous, along with their first-order partial derivatives. We then prove the existence and uniqueness of a non-negative continuous solution, bounded together with its first-order partial derivatives, to the initial-boundary value problem.