AI 中文总结
本文针对平面四速度Broadwell模型，通过扩展定点框架，在任意$C^{1}$有界初边值数据下证明了经典解的全局存在性与唯一性，消除了尺寸限制。
AI 中文摘要
本文建立了多维背景下平面四速度Broadwell模型初边值问题经典解的全局存在性。虽然唯一性已在先前的工作中确立（该工作在小且$C^{1}$正则的初边值数据假设下解决了存在性），但本研究的目标是完全消除这一尺寸限制。通过扩展先前开发的定点框架，我们证明了该方法对任意初边值数据仍然非常有效。在此广义设定下，解及其一阶偏导数被证明是良定义的，并且对所有时间全局存在。
英文摘要
This paper establishes the global existence of classical solutions to the initial-boundary value problem for the planar four-velocity Broadwell model in a multidimensional setting. While uniqueness was already established in our previous work (which addressed existence under the assumption of sufficiently small, bounded, and $C^{1}$-regular initial and boundary data), the objective of the present study is to completely lift this size restriction. By extending the previously developed fixed-point framework, we prove that the methodology remains highly effective for arbitrary initial and boundary data. Within this generalized setting, both the solutions and their first-order partial derivatives are shown to be well-defined and to exist globally for all times.
