The first boundary value problem for the linearized Navier-Stokes equations
Abstract
The first boundary value problem for the nonstationary linearized Navier-Stokes 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:
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- Boundary Value Problems;
- Computational Fluid Dynamics;
- Linear Equations;
- Navier-Stokes Equation;
- Hydrodynamic Equations;
- Integral Equations;
- Potential Theory;
- Fluid Mechanics and Heat Transfer