六阶对流Cahn-Hilliard方程解的整体适定性

In this paper,we consider the global well-posedness of smooth solutions for the Cauchy problem of a sixth order convective Cahn-Hilliard equation with small initial data.We first construct a local smooth solution,then by combining some a priori estimates,continuity argument,the local smooth solution is extended step by step to all t>0 provided that the L1 norm of initial data is suitably small and the smooth nonlinear functions f(u)and g(u)satisfy certain local growth conditions at some fixed point■.     

仿生齿接结构损伤行为的几何参数研究

受到自然界几何连接接口的启发，提取出数学模型，通过3D打印建立了齿接结构，并结合Python和MATLAB GUI对ABAQUS前处理进行二次开发，生成了齿接结构的有限元模型，通过实验和数值仿真探究不同基线形状和齿顶角对齿接结构损伤模式和力学性能。并在验证仿真模型有效性的前提下，通过数值仿真探究弧基线幅值的互锁效应对齿接结构承载能力的影响。