SCIENTIFIC ABSTRACT NAPETVARIDZE, O.I. - NAPIORKOWSKA, W.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001136030005-2
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: July 31, 2000
• Sequence Number: 5
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

-ACCESSION NR: AP4023076
rL JU (P, (P,
4 1 AP k3. (P. PES, t'> o;
M (A 0) f(P);
du Al (P. 1),
(P, t) f dy
JX F
where
rs du (P, 4)
W Y, + are b-6unded for arq
JI
-f4ni t e-1~1.0.
Here 14: = 'L'
!k is the coefficient of thermal conductivity; c is the
a,2
C, 4
P.
specific heat; j0 is the density. The functions Cu(P, t)j~ a-ad are the
&(P' t))2
li miting values as the surface S is approached, from the interior and exterior,
:respectively; n is the normal, at the point PeS; g,(Pgt) and g2(Pjt) are functions
P
idefined on S and f(P) is a function defined everywhere. The case where
f ( P) (P 0 E 9. (P E 6 is shown to have only the zero solution* The more
-geners, case wheie'j P*t) ~0 is considered.
The problem is reduced to the
2
c rd 2

ACP,ESSION NR: AP4023078
:solution of integral equations. Solutions of the form
P, <
a aft'ald + Ars, go> 6, "m Const 0 required. Theo solutions are obtained by
or
:using the methods of Laplace trdnoforme and successive approximations. Orig. art.
whas: 39 equations.
.~ASSOCIATION: Tbilisskiy gosudarstvermy*y:universitet (Tbilisi State University)
,SUBMITTED: 18Feb63 ~DATE ACQt IOApr64 EITCL-. 00
~SUB CODE: My PH
NO,REP SOV.- 015 OTRR-. 000

------------
---------- - ------
ACCESSION NR: AP4045201 B/0251/64/035/002/0271/0276
~AUTHOR: Napetvaridze, 0.1.
'TITLE: An approximate solution to the third boundary problem of the theory of heat
conductivity
SOURCE: AN GruzSSR. Soobshchenlya, v. 35, no. 2, 1964, VI-716
TOPIC TAGS: differential. equation, boundary problem, boundary value problem approxf-
mation, heat conductivity, partial differential equation
ABSTRACT: Let B1 be a region of three-dimensional space, having a Lyapunov boundary
S11 The present paper Is ev I inding a function u(P, Q satisfying
a U (P, 0M -V, 10, 1 + I. (P. 1). P E D'. 0 < I <
(2)
o