تقرير
Green's Function and Pointwise Space-time Behaviors of the Three-Dimensional Relativistic Boltzmann Equation
| العنوان: | Green's Function and Pointwise Space-time Behaviors of the Three-Dimensional Relativistic Boltzmann Equation |
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| المؤلفون: | Li, Yanchao, Zhong, Mingying |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 76P05, 82C40, 82D05 |
| الوصف: | The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and Huygens waves with the speed $\sqrt{a^2+b^2}$ at low-frequency, the singular kinetic wave and the remainder term decaying exponentially in space and time. In addition, we establish the pointwise space-time estimate of the global solution to the nonlinear relativistic Boltzmann equation with non-smooth initial data based on the Green's function. Comment: arXiv admin note: text overlap with arXiv:2303.13021 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.06280 |
| رقم الأكسشن: | edsarx.2405.06280 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |