InhaltsangabeMathematical description of viscous free surface flows.- Theoretical issues arising in the modeling of viscous free-surface flows.- High order boundary integral methods for viscous free surface flows.- Long wave instability of viscous liquid free surface due to anomalous Marangoni effect.- Long-wave interfacial instabilities in viscous liquid films.- Convective and morphological stability during directional solidification of the succinonitrile-acetone system.