Hydrogen burning on a white dwarf accreting hydrogen in a binary system

We follow the accretion of hydrogen-rich matter onto the surface of a white dwarf in a close binary system. Two phases of accretion are assumed. First—slow accretion from the interstellar clouds, second—fast accretion from the companion.Hydrogen is ignited at the interface between the fast and slowly accreted layers. After a short runaway burning continues in the form of quasistationary deflagration front propagating inwards. The features of this front are discussed. A possibility of mass loss is indicated.