Theory of Motion of Surfaces
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In this chapter we focus on the kinematics and dynamics of moving surfaces, in the same way we did in Chap. 7 for curves. The boundary conditions obtained from this geometrical approach will be used in the next chapters for the study of nonlinear oscillations and waves of liquid drops. In this chapter we assume that all transformations of coordinates are continuous at least of class C 2, and they have nonvanishing Jacobian functions.