With the polar description, we write the velocity and acceleration vectors for a point in terms of the polar unit vectors e_r and e_theta. Recall that e_r points outward from the observer O and the ...

This note studies Hardy-type inequalities for vector fields with the L¹ norm of the operator curl. In contrast to the well-known results in the whole space for the divergence-free vector fields, we ...

As expected, the acceleration of P has both non-zero tangential and normal components. From the equation provided for speed as a function of distance traveled, the speed of P is monotonically ...

Kumamoto University researcher's new theoretical model considers the normal component of liquid surface tension in addition to the tangential component. This image may only be used in conjunction with ...