Formal solution of the Navier-Stokes initial- and boundary-value problem for incompressible fluids
Abstract
A general formal solution of the integral equivalent of Navier-Stokes 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;
- Navier-Stokes Equation;
- Viscous Flow;
- Continuum Mechanics;
- Function Space;
- Green'S Functions;
- Integral Equations;
- Linear Equations;
- Uniqueness Theorem;
- Fluid Mechanics and Heat Transfer