How can I expand this term ??(?uu) and ??(T×u)

[oxxiissiixxo]

How can I expand this term ??(?uu) and ??(T×u)

??(?uu) where ? is a scalar and u is a vector

and

??(T×u) where T is a second order tensor and u is a vector.

 

[Deleted member 4993]

Re: How can I expand this term ??(?uu)

??(?uu) where ? is a scalar and u is a vector

and

??(T×u) where T is a second order tensor and u is a vector.

According to your notation is UU a dyadic tensor?

 

[oxxiissiixxo]

Re: How can I expand this term ??(?uu)

yes.

 

[oxxiissiixxo]

Re: How can I expand this term ??(?uu) and ??(T×u)

Also,
I found out that the solution for
??(?uu) is ?u??u+u[??(?u)]
for this the solution is just seemed like
??(?uu) is ?u??u+u[??(?u)]
??(AB) is A??B+B[??(A)] A= ?u and B= u
but I just can't fill in the step correctly in between
and
??(T×u) is -u×(??T)+T