Title: Learning physics by data forthe motion of a sphere falling in a non-Newtonian fluid

Speaker: Dr Zhang，Ran  School of Mathematics, Shanghai University ofFinance and Economics

Date: 2018/11/05, Monday, 15:00-16:00

Venue: 览秀楼205

Abstract:

Inthis talk, I will introduce a mathematical model of nonlinear jerk equation ofvelocity to simulate the nonuniform oscillations of the motion of a fallingsphere in the non-Newtonian fluid. This differential/algebraic equation isestablished only by learning the experimental data with the generalized Pronymethod and sparse optimization method. From the numerical results, our modelsuccessfully simulates the sustaining oscillations and abrupt increase duringthe sedimentation of a sphere through a non-Newtonian fluid.  It presents the behavior of a chaotic systemwhich is highly sensitive to initial conditions. More statistical and physicaldiscussions about the dynamical features of the model are provided as well. Ourmodel can be interpreted as a nonlinear elastic system, and includes both theuniform and nonuniform oscillatory motion of the falling sphere.