标题： 一种用于球体在非牛顿流体中运动的软套索模型 显示英文标题

标题： A soft Lasso model for the motion of a ball falling in the non-Newtonian fluid

摘要： 从介观观点出发，提出了一种针对质点的软匹配新概念。 然后，也提出了一种软套索方法，用于学习物理力学关系的软动力方程。 此外，开发了一种结合牛顿-斯托克斯项和软套索项的离散迭代算法，以模拟球体在非牛顿流体中下落的运动。 该理论通过数值例子进行了验证，并显示出令人满意的结果，这些结果表现出混沌现象、突然加速和持续的随机振荡。 运动的模式与初始值无关，并在长时间内保持不变。 显示英文摘要

摘要： From the mesoscopic point of view, a new concept of soft matching for mass points is proposed. Then a soft Lasso's approach to learn the soft dynamical equation for the physical mechanical relationship is proposed, too. Furthermore, a discrete iterative algorithm combining the Newton-Stokes term and the soft Lasso's term is developed to simulate the motion of a ball falling in non-Newtonian fluids. The theory is validated by numerical examples and shows satisfactory results, which exhibit the chaotic phenomena, sudden accelerations and the continual random oscillations. The pattern of the motion is independent of initial values and is preserved for long time.