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A new singularity of transonic plane flows
Canonical equations for nonlinearized steady
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amplitude analysis applied approximation arbitrary assumed asymptotic axes axis beam Bessel functions boundary conditions boundary layer boundary value problem cavity chapter coefficients components computed conformal mapping consider constant convection coordinates corresponding cosh defined deflection denote density derivatives determined differential equations direction discussion distribution eigenvalue elastic energy expansion field finite fluid formula Fredholm integral equations frequency given Green's function heater Hence hodograph homogeneous infinity integral equation introduce linear Math mathematical membrane method motion Navier-Stokes equations notation obtain ordinary differential equations orthogonal paper parameter partial differential equations perturbation physical plane plate polynomial power series quantities radius random region respectively roots satisfies shock sinh solution curve solved spectral stream stress Substituting supersonic surface temperature tensor theorem theory transfer function transformation turbulence vanish variables vector velocity vertical vibrations viscosity zero