Bubble stability in a class of non-Newtonian fluids with shear dependent viscosities

Using elementary dynamical systems theory we delineate the locally asymptotically stable, stable, and unstable equilibrium states of a spherical vapor bubble immersed in an unbounded non-Newtonian fluid with shear dependent viscosity; stability results for the equilibrium states of bubbles immersed in a Newtonian fluid are obtained as special cases.