Accession Number:

AD0691554

Title:

THE CAUCHY PROBLEM FOR SMALL FLUCTUATIONS OF A VISCOUS FLUID IN A WEAK FIELD OF MASS FORCES (O Zadache Koshi dlya Malykh Kolebanii Vyazkoi Zhidkosti v Slabom Ple Massovykh Sil),

Descriptive Note:

Corporate Author:

ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)

Personal Author(s):

Report Date:

1969-01-01

Pagination or Media Count:

31.0

Abstract:

The paper deals with the Cauchy problem for the unsteady linearized Navier-Stokes equations, representing small deviations of a viscous incompressible fluid from equilibrium in a partially filled motionless vessel in a weak field of force. Surface forces are taken into account, leading to the presence, in the boundary conditions on the surface of the fluid, of a second order differential operator of elliptic type. Existence and uniqueness theorems for the solution of the problem are presented and proved by the methods of functional analysis an introductory section discusses the decomposition of the Hilbert space L sub 2 Omega and derives or gives references to results required later in the paper. Author

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE