The Asymptotics of Gas Outflow into Vacuum in Conditions of Energy Input of Constant Intensity.

Abstract: When time t ∈ 0 the plane x = 0 separates the half-space x ≥ 0 filled with a gas with zero speed and constant pressure p = p0≥ 0 and density p= p0> 0 from the vacuum area x < 0. When time t ≥ 0 the whole gas area up to the border with vacuum is under the influence of an energy input with the intensity Q0that is constant in time and in space. A peculiarity of the emerged current which asymp-totics is studied in the present work is the fact that the border with vacuum stops to be free independently of whether the initial pressure was zero or finite: the pressure at the borders becomes finite and the motion of the border itself acquires an acceleration.Note: Research direction:Mathematical modelling in actual problems of science and technic