The first boundary value problem for the linearized NavierStokes equations
Abstract
The first boundary value problem for the nonstationary linearized NavierStokes equations is investigated in the case of three spatial variables. The solution is sought in the form of hydrodynamic potentials of a double layer, constructed on the basis of Green's formula. The density of the potentials is determined by a system of three degenerate integral equations of the second kind. The Fredholm alternative is justified for this system, and the system is regularized by the addition of a constant to the kernel of one of its integral terms.
 Publication:

Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki
 Pub Date:
 October 1982
 Bibcode:
 1982DoUkr.......58C
 Keywords:

 Boundary Value Problems;
 Computational Fluid Dynamics;
 Linear Equations;
 NavierStokes Equation;
 Hydrodynamic Equations;
 Integral Equations;
 Potential Theory;
 Fluid Mechanics and Heat Transfer