A new technique in constructing closed-form solutions for nonlinear PDEs appearing in fluid mechanics and gas dynamics (Q1354712)

Summary: We develop a new unique technique in constructing closed-form solutions for several nonlinear partial differential systems appearing in fluid mechanics and gas dynamics. The obtained solutions include fewer arbitrary functions than needed for general solutions, a fact that permits us to specify them according to the initial state, or the geometry of each specific problem under consideration. In order to apply the afore-mentioned technique we construct closed-form solutions concerning the gas-dynamic equations with constant pressure, the dynamic equations of an ideal gas in isentropic flow, and the two-dimensional incompressible boundary layer flow.