Shallow-ice flux with linear basal drag
= Shallow-ice flux with linear basal drag
{title2=$q=-\frac{\rho g}{\mu}(h^3/3+h^2/\beta)h_x$}
On a horizontal bed, the <shallow-ice approximation> with a <linear basal drag law> gives $u=-(\rho g/\mu)h_x(h/\beta+hz-z^2/2)$ and $q=-(\rho g/\mu)(h^3/3+h^2/\beta)h_x$. With no <ice accumulation> or <ice ablation>, <mass conservation> is $h_t+q_x=0$. Internal shear supplies the cubic mobility and <basal sliding> the quadratic mobility.