I have the PDE:
(v_r)^2+(v_z)^2=p^2 where v=v(r,z), p=p(r,z).
I have some boundary conditions, of sorts:
p=c*r*exp(r/a)exp(z/b) for some constants a,b,c, at r=infinity and z=infinity
p=0 at f=r, where
(f_r)^2=p*r/v-v*v_r
(f_z)^2=p*r/v+v*v_r
Is it possible that one could obtain an...