SCIENTIFIC ABSTRACT OLEYNIK, O.A. - OLEYNIK, V.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001238010014-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Sequence Number: 14
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

29830
S/042/61/016/0 ) 51/00 2100 5
Quasilinear parabolic,oquations.- C1II/C444
with the conditions u 1 0, UL (ti X) - U'c (x) for zC- 0,
T 0
where a ij 1~i f are bounded functions., uniformly smooth in
converging in in the mean to aij, i~,' c, f, where ((t, X, U)u +
~au -
+ f(t, (b i)X + a-, u 0 are functions finite in 0., being
i
uniformly bounded with respect to T, u u (x) for T-> ) in the mean,
fT = 0 on the boundary of,11; c L'< Cc 0 0
Adjoining the existence and uniqueness of a generalised solution of
the Cauchy probl em f or (5 ~ 1 ) in H ( 0 -
1/2 UDC: 517.94B

a 66-1/0761 0754
-Cl 61 f6i/
.AUTHOR-. 01eynik, O.A.
ORG: Moscow StatD Universl!y im. M. V. Lomonosov (kTOBkovskly psudarstvennyy
universitet): Institute of Mechanical Problems Aendemy of Science 4 SSSR (Instittit problem
mekhmffld Akndemll nauk SSSR)
TITLE: System of boundnry-layer equntions for a nonstattonnry fl(W of an WcomprOsstb113
fluid
SOURCE: AN SSSR. Doklady, v. 168, no. 4, 1966, 751-764
TOPIC TAGS: boundury layer equation, Incompressible fltdd, Inc,.)mpressible flow,
nomtationary flow, viscous flow
ABSTRACT: The author descrIbes a eystem of boundpry-loyer equations for R nonstDtiona-r',
two-dimensional flow of a viscous Incompressible fluid
U, + UU;j + MY ~~ -pa + vuvv; U. + vv = 0
in the do-mainD(o < t < to, 0