I've used div(v)=0 and curl(v)=0 to come up with a few relationships between the various coefficients. What other conditions can I use to find relationships?
Homework Statement
I have an incompressible, irrotational fluid with velocity v in the form:
v_x = c_xx x + c_xy y + c_xz z
v_y = c_yx x + c_yy y + c_yz z
v_z = c_zx x + c_zy y + c_zz z
The coefficients c_xx, c_xy, etc. are constants.
How can I determine how many independent coefficients I...
I don't know how to show the minimum can't be zero. So far as X x Y being compact, I just assumed, I don't know where to start for a proof
thanks a lot
Homework Statement
X and Y are compact sets in R^n that are disjoint. Then there must be positive distance between the elements of these sets.
Homework Equations
The Attempt at a Solution
since X and Y are compact , X X Y is compact. Then, for the distance function d(x in X, y...