连续介质物理中反应-扩散-漂移方程的存在性、衰变时间和光产额
Existence, decay time and light yield for a reaction-diffusion-drift equation in the continuum physics of scintillators
摘要：
闪烁体是一种将入射电离能转换为可见光的材料。这一转化过程是一个强非线性的过程，可以用一个反应-扩散-漂移方程来描述，该方程是从一个具有微观结构的连续介质模型中得到的，该模型具有适当的热力学性质。对于这样的方程，我们证明了可重整化解和弱解的整体存在性，并给出了解的指数衰减估计;此外，我们还给出了衡量闪烁效率的光产额的数学定义.
英文摘要：
A scintillator is a material which converts incoming ionizing energy into visible light. This conversion process, which is a strongly nonlinear one, can be described by a Reaction-Diffusion-Drift equation we obtain from a model of continua with microstructure endowed with a suitable thermodynamics. For such an equation it can be show the global existence of renormalizable and weak solutions, and the solutions exponential decay estimates can be given; moreover we give also a mathematical definition for the light yield which is a measure of scintillation efficiency.
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