论文标题
非线性不均匀的福克 - 普兰克模型：能量变化的结构和长期行为
Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior
论文作者
论文摘要
受多晶材料中晶粒生长的建模的启发，我们考虑了具有不均匀扩散和可变的迁移率参数的非线性fokker-Plank模型。在周期性边界条件的假设下，我们通过对经典熵方法进行重新划分和扩展，对此类非标准模型进行大量渐进分析。此外，提出了说明性的数值测试，以突出目前的分析结果的基本点并激发未来的分析。
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.
