SCIENTIFIC ABSTRACT ROZHDESTVENSKIY, A.P. - ROZHDESTVENSKIY, E.V.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001445710008-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 19, 2001
• Sequence Number: 8
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

BTJL-GA-F IA/ Co sm-o -ihema s- try -Lreo6aemistr-Jr. Mvarc,---- emi qtr7.D
'Abs Tour Re fZhur KrlimiYa-6- No, 5, 1958j, 14,ogi
Author Rozhdestvens
A.V.
T---I s t
Title Hydrochemistry of.the~Buzges Lakes.
Orig Pub Priroda (B"lg.), 1957, 6, No.2., 83-87 (bo1g.)'
Abstract Three lakes origipa~ting from. the Blsck Saa,estuaries,
are descriFe.d:, thlalt~zoir I-zke, t1he most salty ose
sal i ni ty (C) ranges from 10 to 250 %0 St its SOU-Lharn
part ancL 1 - 80 %6 at +,he Northern 1; the Burgas
Lake with an average Cof 16%o) a hiSh alkalinity -- up
to 4.5 mg/equ, pH 8.2, an oxidizability which rear-b es
to 7.21 mg/l; the -water balp-n-2e of both lakes is nega-
tive; the Madre- Lake with a positive bala-une, C 2-5,-
i6.2P-%O, high r-lkalinitY -- 3-1-- 6.8~ mg/~~qu, pH 8.o;
The qmntity of 02 similarly to the., in the Burggs Lske,
~
sharply decreases In the simmer.
CardIA

k'~
~.:S/169/63/600/6 0610
0310 42
D263/D307,
MTHORS. Alelseyev, r.P., Basyadovskiy
YC.A., Biryu1tova, L.A. E
Golyshev, G.I., Ivanovskiy, A.I. lZaLam.-U
Kokin, G.A., Karilova, Yu.V.; 1;.S.', retrov,
G

z
ihdest2!~~ XL, Solov,yev, RX. Speran-
]a -Ye.v Khvostikovt I.A ShVidkovskiy, Ye.G.
and Shcherba, I.A.
TITLE: study Of the upper layers of the atmosphere',with the
aid of meteorological rockets
VERIODICAL: Referativnyy zhurnal, Gcofizika, no. 3, 1963, 213,
*
abstract 3A166 (Tr.*.- et or 1*.
sovesh-
Vses. ziauchn.j e o
chardya. T.I.L., Gidrometeoizdat, 1962, 91-,103)
In the present review-type arti. h
TM(T: cle the aut ors give.
the results of studies carried out at Toontrainiya
aarologicheskaya
,
obaervatoriya,(Contral'AcrolbgicaL Observatory) on atmoapheric sound-,~'

ing withmeteorological. rockets. !Measur described and
ink methods are
the ~~ain points are given for obtiLining s=h atmospheric~charcmtor--~
Card 1/2,

NtV
TV, T'711-
F-j
ACCESSION HR: 46312- 414.64.,09
SOURCE: Ref. zh. Matematika, Abs. 8B332
AUTTHOR-. RozMestwenskiVi B.~ L-.
m or- Sys 6 46asiiiii6ar eguationg
TITLE: On the Cauchy
of the hyperbolic type ifi the class of discontinuous functions~:~"
CITED SOURCE: Haterialy k Soymestnomu sovetsko-amerik&fiak0Aujim4
noziumu Po uravneniyam s chastnygii proizvodnymi. Novosibirsk, avi4
1963. Sib. otd. AN SSSA. Novosibirsk$ 1963
TOPIC TAGS: Cauchy problem, partial differential equation, hyper"
bolic equation, uniqueness theor(mip existence theorem, stability,
generalized solution
TRANSLATION: Tl~e. work consists of' ~thr-ed U
with the question of generalized (disbbhtinuo~~)-
gk~
1/4 V
Card

J~
1321,67 -65
AP
ACCESSION NR: 4046312:.
W- Jcbo1jL'c-t;"
ys-tem 0- fquasilinear.- equa lon -blff~
X)
UY~`, AAR
+
01;
up T, f vectors with n, domponen d. Them- aulkholk. S-k diffiddl
ty of the "method of vanishing villcosity" and formulates a concepti-. A i
introduced by him, of the "stability class" of generalized soluti6hS.M. -
of the Cauchy problem (1) for the case of two quasilinear equations
a~
(n = 2). Existence and uniquenesis theorem are derived for the st
bilitv of the generalized solution of problem (1) with 0 K t
T(c) > 0, if u0(x) is piecewise--continuous and satisfies the
Lipacbitz condition with the constant c outside the discontinuity
points of the first kind. The third section contains a study of the;
problem
...T
t9MdT(T)--!0., T (0-4-n0h
(2)
Card 2/4

T~z4 n-
L 32-467-65
ACCESSION NR: AR4046312
5j
w ere-v v X, Th -genera izei
V. N2'
n.,
.,,or; u..nctid&::v'(Ci
solution of the
,equal- o
_n an&_.,
everywhere, w1iii,
(4 1~ 1[*~'W '(U
nc ion, t
A. lkt~ ;id
_.gn
-ion
lution of osen- I
th 0
form of the requirement- thdt -(D . _(kY~
pence
~qntinuous. The existence and -Uni.'41_4`666166~6f a stabli solutiorf-
problem (2) is proved tinder the assumption that the mattix
lak
is positive definite; Add tji4 '661 ill eid-presen e
form. 1. Shishmareva ......
q.
MY

L 32467.--65-
I ACCESSION MR:
SUB CODE: MA
Card
X~
. . .....

00
ENCLf

iA..

x

A., a xt

(Differential equations)

:AUTHOR: Rozhdestvenskiy~B.L. 'SOV/42-147'2-9/19
TITLE: On the Cons ervatl~veress o' ystems of quasilihear.Equations
PERIODICAL: Uspekhi mateiiiaticheskikh nlauk,1959,Vol 14,Nr 2,pp 217-218(USSR)
ABSTRACT: The author joins his earlier publication f-Ref 52 and shows
that the syst6m -
au u U u, DU
--3 3
1 2 2
-
- 0
+ u
- + U~-
0 "
0 -~
17ZF
~
~
X
t
t
2
x
ax at
3
cannot be represented in the form
X)
(u, t' X) i ay'0101
?t , + fj(u,t,x)
lax
hat for (1)'t~e' usual
with once differentiable V and +Y,so- t
,
definition of,a'generalized solution is not possible.
There-are 5 references, 3 of which are Soviet,, and 2 American.
SUBMITTED: March 22, 1956
Card 1/1

88194
S/042/6O/O15/OO6/OO1/PO4
It.3sto C111/C2122
AUTHOR: Rozhdestvenski~' B.L.
..,TITLE:, Discontinuous' Solutions of Systems of Quasilinear Hyperbolic
1, Equations.~
1-15, No 6, pp-59-117
PERIODICAL: U pekhi matematicheskikh nauk, .1 96o, Vo
TEXT: � 1. -A system.of quasilinear equations;i 26,15onie,properties.of'the
solutions of quasilinear equations; �,3.'The.notion of generalized solu-,
tions of a system of quasilinearequations; � 4. Stability conditions of
::,the generalized solution of's, system,of quasilinear equations; � 5-
Generalized solutions.of,the'.Cauchy problem for.systems.of quasilinear
,.,~,equations,and irreversibility of the process described by these equations;
� 6. On,t.he conservativity,of systems of quasilinear equations; � 7-
Example of a non-conservative, system of,quasilinear.equations;,� 8.-On
.,the discontinuity of.:the solutions of a:conservative'system.of quasilinear
equations;,�'9.~~otion of.fthe potential.of_the generalized solution of a
system,of quasilinear.equations; �.10.',On,the 'uniqueness of.the solution
-,of the Cauchy problem for a quasilinear equation,A 11.'The.construction
of the generalized solution of the Cauchy problem for a quasilinear
equation with the.aid of the potential method; � 12. On the uniqueness of
Card 1/4

88194
S/042/60/015/006/001/004
C111/C222.
Discontinuous'Solutions of Systems~of Quasilinear Hyperbolio Equations
the generalized solution of,the'Cauo.hy,problem,for,systems of quasilinear,
'equations; �:13. Uniqu'eness.theorem for, the generaliz ed,isolution of the,
Cauchy problem for' a.:system'of quasilinear Iequations in the class.of~
piecewise smoothisolutions;~� 14 .~Some remarks.with respect to -systems of,.
linear equati.ons.of hyperbolic type,-.,� 15, Self-simulating solutions ofea
system of quasi-linear, equations; � 1-S. ~ On . the uniqueness ' of the generalized
Ahe roblem an the tinuity., � 17.'
..s.olution of p -decay,of an arbitrary 4iscon
:,Asymptotic behavi.orof.the,solutions.of quasilinear equationsfort -Poo;
� 18. On the method.of.the.11tenAcity" for quasilinear equations;I 19.1
Systemof equations of gas_dynamics, � 20-Comparison of the prope rtieSL:'
Of linear and quasilinear.equations.
The author considers quasilinearhyperbolic systems
'Z u. n fou.
b n
+ a
-6t j_1
where the ai .b' depend on u .1u, ... ou x and t It Is stated that,, .
j
the solutions are discontinuous,also for smooth initial values and
therefore the generalized solution is defined beside of the classical
Card 2/4

On: Cauch- Is Problem for~Quasi_Li qu
Y, near.T ations
-;l*neynykh uravneni Y
(0 zada6he Yoshi d1ya kvaz 11 Y
:SOV/20-122-4 3/57
t x)

X)
4) X If.here the
Mu,t~x)
variables U., (t,:.K) ara eliminat-edq than for,
(t,x) a non-,
.~
linear system .
,
(2) 4i
+ t 0
Tt- X
is obtained, where
~n
If there existsa,gene-ralized soluti on of Cauchy's problem for
ti whii,~h is -Diecewlsz! continuous.fo
continuous solution of the system (2
duction of the Cauchy problem for (1
of the generalized solutions. [Ref.11 r t>0 -then iVexists a.
and conver'sely.,This re-
~ considered inothe class
to the Cauchy problem for

(-2) allowa t, stig I the u
inve t, ate nique ness of the generalized
solution of (1). As an example the a
Card 2 3 uthor proves the theorem:

'AUTHOR: Rozhdestvenskiy,' B-IL~ SOV/26-122-5-14/56
TTTI-3-1 On'the,Uniqueness,of the,Generalized Solution of the Cauchy Problem'
for a System of quasilinear Equationsof Hyperbolic:Type ( 0
yedinstvennosti:obobshchennogo,.resheniya.zadadhi Koshi~dlya,
sistem.kvazilineynykh ura:vneniy giperbolicheskogo tipa-)
PERIOTICAL: Doklady Akademii nauk, SSSR9 19589 Vol 122, Nr 5, PP 762-765 (USSR)
'ABSTRACT.; The fun,ctions uj(t,x) .,'which assume given values for t and
which satisfy' the conditions ui(,t,x)dx, -%fj.~(u(t,'X),t,x)dt,= 0,
C
where G is ~an arbitrary piecewi,se smooth closed,.curve of the
upper half plane. t 0, are.called,the genera,lized,solution of
the Cauchy problem for the system
U,
t 9 X)
7 0 1-1 2 u
t
x 1 2
~Under numerous, as sum
ptions on. the functions.?, . and the,eigen-
vectors of (1) the author provebl,the;uniqueness of, the
generalized solution if this solution satisfies.certain
conditions at the points of discontinuity..
0 a r'd 2

Collection *of Scientific Works SOV/3104
TABLE OF CONTENTS:
Arsenin., V.Ya., and B.L. RozhdestVensldyt On the Coinpression of an
Isothemic Gas 3
Card 2/3

A/

AUTHOR: Rozhdestverlskiy, B.L. 20-3-8/59 i
TITLE; On Systems of Quasi-li-near Equations. (0 sistemakh k-azilineynykh
uravneniy)

PERIODICAL;
Doklady.Akad.11auk SSSR, 1957) Vol. 115, Nr 3, PP-454-457'(USS
R)
ABSTRACT: The author investigates here whether any system of qaaoilinear,
+ a bi (i 1,2 can.be represent-
equations
2t X
_j 9
(ui t tX) ')T1(uj,t,X)
_
1
ed in the form of conservation theorems
'z - I lox
t
ion the coefficients
fj(uj,t,x) (i In this connec
aij,bi are analytical functions of the variables uj,t,x All,possi-
ble conservation theorems are deterained for the case oLequations
of hyd3~odynamics On, that occasion the number of conservation..
principles proves to be lar.-er than the number of unknown functions.
,
In connection with,that some generalized solutions ofthe Cauchy
e shown.
(Noshi) problem for the equations of hydrodynamics can:b
.
In the considered variation domain of thevariables uj,t
,x the
,
,y given system be hyperbolic. First the conceptions:Rgen-
initiall
eralized.solution of.the Cauchy problem", I .1principle of the conserv-
ation of.the system of ecuations (1)11.,,"cdnservativell,~"non-corser-
vative", '.conservatively closed", "totally non-conservative",
dependent". are defined. The folloiing statements are.valid: 1)
Card 1/3 When n