Axisymmetric shape of gas bubbles in a uniform flow: Numerical study of bifurcation by analytic continuation

This paper investigates axisymmetric shapes of an incompressible inviscid fluid bubble in a uniform flow. Approximate solutions are constructed for the governing nonlinear boundary value problem using the domain perturbation method. Bifurcation and turning points are located by applying a special type of Hermite-Padé approximation.