Formal solution of the NavierStokes initial and boundaryvalue problem for incompressible fluids
Abstract
A general formal solution of the integral equivalent of NavierStokes equation for incompressible viscous fluids is presented through a linear operator acting on the functionals of solenoidal vector fields. This solution operator is completely determined by the Green functions of Laplace and diffusion equations corresponding to the flow region.
 Publication:

Nuovo Cimento Lettere
 Pub Date:
 September 1984
 Bibcode:
 1984NCimL..41..123A
 Keywords:

 Boundary Value Problems;
 Incompressible Flow;
 NavierStokes Equation;
 Viscous Flow;
 Continuum Mechanics;
 Function Space;
 Green'S Functions;
 Integral Equations;
 Linear Equations;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer