pg_utils.pg_model.core.u_linmap

pg_utils.pg_model.core.u_linmap = {U_s(s, \phi, z, t): \epsilon*Derivative(\psi(s, \phi, t), \phi)/(s*H(s)) + U_s^0(s, \phi, z), U_\phi(s, \phi, z, t): -\epsilon*Derivative(\psi(s, \phi, t), s)/H(s) + U_\phi^0(s, \phi, z), U_z(s, \phi, z, t): \epsilon*z*Derivative(H(s), s)*Derivative(\psi(s, \phi, t), \phi)/(s*H(s)**2) + U_z^0(s, \phi, z), U_r(r, \theta, \phi, t): \epsilon*u_r(r, \theta, \phi, t) + U_r^0(r, \theta, \phi), U_\theta(r, \theta, \phi, t): \epsilon*u_\theta(r, \theta, \phi, t) + U_\theta^0(r, \theta, \phi), U_\phi(r, \theta, \phi, t): \epsilon*u_\phi(r, \theta, \phi, t) + U_\phi^0(r, \theta, \phi)}

First-order perturbation map of velocity field