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Israeli mathematician
Shoshana Kamin (
Russian : Шошана Камин ,
Hebrew : שושנה קמין ) (born December 24, 1930),
[1] born Susanna L'vovna Kamenomostskaya (
Russian : Сусанна Львовна Каменомостская ),
[1]
[2] is a
Soviet -born
Israeli
mathematician , working on the theory of
parabolic partial differential equations and related
mathematical physics problems.
Biography
Shoshana Kamin graduated from
Moscow University in 1953 and earned her "
candidate of science " degree from the same university in 1959,
[1] under the supervision of
Olga Oleinik .
[3]
She and her two sons left the Soviet Union in the early 1971. After that she became a professor in
Tel Aviv University ,
[4] where she is now
professor emeritus .
[5]
Contributions
In the late 1950s, she gave the first proof of the existence and uniqueness of the
generalized solution of the three-
dimensional
Stefan problem .
[6] Her proof was generalised by Oleinik.
[7]
Later, she made important contributions to the study of the
porous medium equation,
[8]
∂
t
u
=
Δ
x
u
m
,
m
>
1
,
{\displaystyle \partial _{t}u=\Delta _{x}u^{m},\,\,m>1,}
and to non-linear elliptic equations.
[9]
Selected publications
Kamenomostskaya, S. L. (1958), "On Stefan Problem", Nauchnye Doklady Vysshey Shkoly, Fiziko-Matematicheskie Nauki (in Russian), 1 (1): 60–62,
Zbl
0143.13901 . The earlier account of the research of Shoshana Kamin on the
Stefan problem .
Kamenomostskaya, S. L. (1961),
"On Stefan's problem" ,
Matematicheskii Sbornik (in Russian), 53(95) (4): 489–514,
MR
0141895 ,
Zbl
0102.09301 . In this paper and in the paper (
Oleinik 1960 ), the first existence and uniqueness proofs for the
generalized solution of the
three-dimensional Stefan problem are given.
Kamenomostskaya, S. L. (March 1973), "The asymptotic behaviour of the solution of the filtration equation",
Israel Journal of Mathematics , 14 (1): 76–87,
doi :
10.1007/BF02761536 ,
MR
0315292 ,
S2CID
123473787 ,
Zbl
0254.35054 .
Kamin, S. (June 1976), "Similar solutions and the asymptotics of filtration equations",
Archive for Rational Mechanics and Analysis , 60 (2): 171–183,
Bibcode :
1976ArRMA..60..171K ,
doi :
10.1007/BF00250678 ,
MR
0397202 ,
S2CID
119703906 ,
Zbl
0336.76036 . According to
Vázquez (2007 , p. 15) this is one of the most important papers in the
asymptotic theory of the
porous medium equation . Also, perhaps for the last time ever, she signed this work with both her present and former surnames, precisely writing "S. Kamin (Kamenomostskaya) ".
See also
Notes
^
a
b
c
d See reference (
Fomin & Shilov 1969 , p. 562).
^ See her paper (
Kamin 1976 , p. 171) and
her author page at
All-Russian Mathematical Portal .
^ See the list of
Olga Oleinik
Candidate of Sciences students in (
Venttsel' et al. 2003 , p. 171) (Russian version).
^ See
Milman (2006 , p. 217). He precisely states:-"The emigration of the mid-1970s had already brought mathematicians of the highest caliber and of all ages to Israel: Mikhail Lifshits and David Milman, Israel Gohberg and Il'ya Pyatetskii-Shapiro, Shoshana Kamin, Boris Moishezon, Yurii Gurevich and I (I include myself in this group). "
^
"List of senior faculty members at the School of Mathematical Sciences" . Tel Aviv University.
^ See references (
Kamenomostskaya 1961 ) and (
Oleinik 1960 ), as well as the historical survey on the
Stefan problem in (
Rubinstein 1971 , pp. 1–15).
^ See
Oleinik (1960) and
Rubinstein (1971 , pp. 1–15 and 310).
^ See
Vázquez (2007 , p. 15).
^ See
Rădulescu (2007 , p. 22).
References
Biographical references
Fomin, S. V. ;
Shilov, G. E. , eds. (1969), Математика в СССР 1958–1967 (in Russian), vol. Том второй: Биобиблиография выпуск первый А–Л,
Москва : Издательство "
Наука ", p. 816,
MR
0250816 ,
Zbl
0199.28501 . The "Mathematics in the
USSR 1958–1967 " is a two–volume continuation of the opus "Mathematics in the
USSR during its first forty years 1917–1957 " and describes the developments of Soviet mathematics during the period 1958–1967. Precisely it is meant as a continuation of the second volume of that work and, as such, is titled "Biobibliography " (evidently an
acronym of
biography and
bibliography ). It includes new biographies (when possible, brief and complete) and bibliographies of works published by new Soviet mathematicians during that period, and updates on the work and biographies of scientist included in the former volume, alphabetically ordered with respect to author's surname.
Milman, V. D. (2006), "Observations on the movement of people and ideas in twentieth-century mathematics", in
Bolibruch, A. A. ;
Osipov, Yu. S. ;
Sinai, Ya. G. (eds.),
Mathematical Events of the Twentieth Century ,
Berlin -
Heidelberg -
New York City /
Moscow :
Springer-Verlag / PHASIS, p. 215,
Bibcode :
2006metc.book.....A ,
ISBN
978-3-540-23235-3 ,
MR
2179060 ,
Zbl
1092.01015
Venttsel', T. D.;
Vladimirov, V. S. ; Zhikov, V. V.; Il'in, A. M.; Il'in, V. P.; Kondrat'ev, V. A.;
Kudryavtsev, L. D. ; Mishchenko, E. F.;
Nikol'skii, S. M. ;
Osipov, Yu. S. ; Radkevich, E. V.; Rozov, N. Kh.;
Sadovnichii, V. A. ;
Faddeev, L. D. ; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.; Shkalikov, A. A. (2003),
"Ol'ga Arsen'evna Oleinik (obituary)" ,
Uspekhi Matematicheskikh Nauk (in Russian), 58 (1(349)): 165–174,
Bibcode :
2003RuMaS..58..161V ,
doi :
10.1070/RM2003v058n01ABEH000607 ,
MR
1992133 ,
S2CID
250845162 ,
Zbl
1050.01527 . An almost comprehensive obituary article: its
English
translation is published in the
Russian Mathematical Surveys as
"Ol'ga Arsen'evna Oleinik" ,
Russian Mathematical Surveys , 58 (1): 161–172, 2003,
doi :
10.1070/RM2003v058n01ABEH000607 ,
MR
1992133 ,
S2CID
250845162 ,
Zbl
1050.01527 .
Scientific references
Ladyženskaja, O. A. ;
Solonnikov, V. A. ;
N. N., Ural'ceva (1968),
Linear and quasi-linear equations of parabolic type , Translations of Mathematical Monographs, vol. 23, Providence, RI:
American Mathematical Society , pp. XI+648,
ISBN
9780821886533 ,
MR
0241821 ,
Zbl
0174.15403 .
Oleinik, O. A. (1960), "A method of solution of the general Stefan problem",
Doklady Akademii Nauk SSSR (in Russian), 135 : 1050–1057,
MR
0125341 ,
Zbl
0131.09202 .
Meirmanov, Anvarbek M. (1992),
The Stefan Problem , De Gruyter Expositions in Mathematics, vol. 3,
Berlin -
New York City :
Walter de Gruyter , pp. x+245,
ISBN
3-11-011479-8 ,
MR
1154310 ,
Zbl
0751.35052 .
Rădulescu, Vicenţiu D. (2007). "Singular Phenomena in Nonlinear Elliptic Problems: From Blow-Up Boundary Solutions to Equations with Singular Nonlinearities". In M. Chipot (ed.). Handbook of Differential Equations: Stationary Partial Differential Equations . Vol. 4. North-Holland. pp. 485–593.
arXiv :
math/0607552 .
doi :
10.1016/S1874-5733(07)80010-6 .
ISBN
978-0-444-53036-3 .
MR
2569336 .
S2CID
119716991 .
Zbl
1193.35053 . .
Rubinstein, L. I. (1971),
The Stefan Problem , Translations of Mathematical Monographs, vol. 27,
Providence, R.I. :
American Mathematical Society ,
ISBN
0-8218-1577-6 ,
MR
0351348 ,
Zbl
0219.35043 . A comprehensive reference updated up to 1962–1963, with a bibliography of 201 items, including also a paragraph of 15 pages sketching the history of the subject
Vázquez, Juan Luis (2007). The porous medium equation. Mathematical theory . Oxford Mathematical Monographs. Oxford:
The Clarendon Press , Oxford University Press. pp. xxii+624.
ISBN
978-0-19-856903-9 .
MR
2286292 .
Zbl
1107.35003 .
External links
International National Academics