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F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
Shoshana Kamin (Russian : Шошана Камин , Hebrew : שושנה קמין ) (born December 24, 1930),[1] Susanna L'vovna Kamenomostskaya (Russian : Сусанна Львовна Каменомостская ),[1] [2] Soviet -born Israeli mathematician , working on the theory of parabolic partial differential equations and related mathematical physics problems.
Biography [ edit ]
Shoshana Kamin graduated from Moscow University in 1953 and earned her "candidate of science " degree from the same university in 1959,[1] Olga Oleinik .[3] Tel Aviv University ,[4] professor emeritus .[5]
Contributions [ edit ]
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] [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 [ edit ]
Kamenomostskaya, S. L. (1958), "On Stefan Problem", Nauchnye Doklady Vysshey Shkoly, Fiziko-Matematicheskie Nauki (in Russian), 1 1 ): 60–62, Zbl 0143.13901 Stefan problem .
Kamenomostskaya, S. L. (1961), "On Stefan's problem" , Matematicheskii Sbornik 95 ) (4 ): 489–514, MR 0141895 , Zbl 0102.09301 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 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 [ edit ]
^ 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 [ edit ]
Biographical references [ edit ]
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 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 58 Bibcode :2003RuMaS..58..161V , doi :10.1070/RM2003v058n01ABEH000607 , MR 1992133 , S2CID 250845162 , Zbl 1050.01527 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 [ edit ]
Ladyženskaja, O. A. ; Solonnikov, V. A. ; N. N., Ural'ceva (1968), Linear and quasi-linear equations of parabolic type 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 135 : 1050–1057, MR 0125341 , Zbl 0131.09202
Meirmanov, Anvarbek M. (1992), The Stefan Problem 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 Providence, R.I. : American Mathematical Society , ISBN 0-8218-1577-6 MR 0351348 , Zbl 0219.35043
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 [ edit ]
International
National
Academics
R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Shoshana_Kamin&oldid=1218412450 " C a t e g o r i e s : ● 1 9 3 0 b i r t h s ● 2 0 t h - c e n t u r y I s r a e l i m a t h e m a t i c i a n s ● J e w i s h s c i e n t i s t s ● L i v i n g p e o p l e ● P D E t h e o r i s t s ● S o v i e t m a t h e m a t i c i a n s ● S o v i e t w o m e n m a t h e m a t i c i a n s H i d d e n c a t e g o r i e s : ● A r t i c l e s w i t h s h o r t d e s c r i p t i o n ● S h o r t d e s c r i p t i o n m a t c h e s W i k i d a t a ● A r t i c l e s w i t h h C a r d s ● A r t i c l e s c o n t a i n i n g R u s s i a n - l a n g u a g e t e x t ● A r t i c l e s c o n t a i n i n g H e b r e w - l a n g u a g e t e x t ● C S 1 R u s s i a n - l a n g u a g e s o u r c e s ( ru ) ● C S 1 : l o n g v o l u m e v a l u e ● C S 1 u s e s R u s s i a n - l a n g u a g e s c r i p t ( ru ) ● A r t i c l e s w i t h V I A F i d e n t i f i e r s ● A r t i c l e s w i t h J 9 U i d e n t i f i e r s ● A r t i c l e s w i t h D B L P i d e n t i f i e r s ● A r t i c l e s w i t h G o o g l e S c h o l a r i d e n t i f i e r s ● A r t i c l e s w i t h M A T H S N i d e n t i f i e r s ● A r t i c l e s w i t h M G P i d e n t i f i e r s ● A r t i c l e s w i t h Z B M A T H i d e n t i f i e r s
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