The initial-boundary value problem for the three-dimensional Euler–Boltzmann equations of a polytropic, ideal and isentropic fluid in radiation hydrodynamics is considered outside a unit ball. It is proved that some \(C^{1}\) solution will develop singularities in a finite time provided that a weighed functional associated with the initial momentum and the initial intensity of radiation is large.

中文翻译：

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Euler–Boltzmann方程的IBVP解的奇异性的形成

辐射流体力学中的多维，理想和等熵流体的三维Euler-Boltzmann方程的初边值问题被视为在单位球之外。证明如果给定的与初始动量和辐射初始强度相关的函数较大，则某些（C ^ {1} \）解决方案将在有限时间内产生奇点。