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From the mesoscopic point of view, a new concept of soft matching for masspoints is proposed. Then a soft Lasso's approach to learn the soft dynamicalequation for the physical mechanical relationship is proposed, too.Furthermore, a discrete iterative algorithm combining the Newton-Stokes termand the soft Lasso's term is developed to simulate the motion of a ball fallingin non-Newtonian fluids. The theory is validated by numerical examples andshows satisfactory results, which exhibit the chaotic phenomena, suddenaccelerations and the continual random oscillations. The pattern of the motionis independent of initial values and is preserved for long time.

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