Exact solutions of singular equations for viscous transsonic flows
Abstract
An exact solution is sought to the equation for viscous transonic flow. Explicit fundamental solutions are constructed for a system of hypoelliptical operators with singular coefficients. Asymptotic expansions of these solutions are found. The exact formula for the Green's function of certain boundary problems and the rate of decrease at infinity of the solutions of the homogeneous equation are investigated within the class of moderate growth distributions.
 Publication:

USSR Rept Phys Math JPRS UPM
 Pub Date:
 June 1985
 Bibcode:
 1985RpPhM.......22Z
 Keywords:

 Boundary Value Problems;
 Differential Equations;
 Green'S Functions;
 Transonic Flow;
 Viscous Flow;
 Functions (Mathematics);
 Homogeneity;
 Operators (Mathematics);
 Fluid Mechanics and Heat Transfer