论文标题
非线性Fokker-Planck模型的本地适应性
Local well-posedness of a nonlinear Fokker-Planck model
论文作者
论文摘要
噪声或波动在自然界各种复杂系统的行为的建模和理解中起着重要作用。 Fokker-Planck方程是研究发生波动的系统的行为的强大数学工具。在本文中，我们建立了新的非线性fokker-Planck方程的本地良好性结果。这种方程出现在多晶材料中微观结构演化过程中晶界动力学的建模中，并遵守特殊能量定律。
Noise or fluctuations play an important role in the modeling and understanding of the behavior of various complex systems in nature. Fokker-Planck equations are powerful mathematical tool to study behavior of such systems subjected to fluctuations. In this paper we establish local well-posedness result of a new nonlinear Fokker-Planck equation. Such equations appear in the modeling of the grain boundary dynamics during microstructure evolution in the polycrystalline materials and obey special energy laws.
