A new Saffman-Taylor growth rate formula

In this talk, we discuss modification of the classical Saffman-Taylor growth rate formula when the dynamic Laplace law including viscous stress tensor on the interface is included in the linear stability analysis for the displacement of a Newtonian fluid by air. In particular, we derive a new formula for the growth rate and show that the problem is linearly well-posed for all values of surface tension. This is a joint work with Gelu Pasa.