Inspired by the modeling of grain growth in polycrystalline materials, we consider a nonlinear Fokker-Plank model, with inhomogeneous diffusion and with variable mobility parameters. We develop large time asymptotic analysis of such nonstandard models by reformulating and extending the classical entropy method, under the assumption of periodic boundary condition. In addition, illustrative numerical tests are presented to highlight the essential points of the current analytical results and to motivate future analysis.

翻译：在多晶体材料谷物生长模型的启发下,我们考虑采用非线性Fokker-Plank模型,该模型具有不相容的传播性和可变的移动参数;我们根据定期边界条件的假设,对非标准模型进行大量时间无症状分析,重新制定和扩展典型的环球法;此外,还提出说明性数字测试,以突出当前分析结果的要点,并激励今后的分析。