Shoshana Kamin
Born (1930-12-24) December 24, 1930[1]
NationalityIsraeli
Alma materMoscow University
Known for
Scientific career
Institutions
Doctoral advisorOlga Arsenievna Oleinik

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]

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

  1. 1 2 3 4 See reference (Fomin & Shilov 1969, p. 562).
  2. See her paper (Kamin 1976, p. 171) and her author page at All-Russian Mathematical Portal.
  3. See the list of Olga Oleinik Candidate of Sciences students in (Venttsel' et al. 2003, p. 171) (Russian version).
  4. 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)."
  5. "List of senior faculty members at the School of Mathematical Sciences". Tel Aviv University.
  6. See references (Kamenomostskaya 1961) and (Oleinik 1960), as well as the historical survey on the Stefan problem in (Rubinstein 1971, pp. 1–15).
  7. See Oleinik (1960) and Rubinstein (1971, pp. 1–15 and 310).
  8. See Vázquez (2007, p. 15).
  9. See Rădulescu (2007, p. 22).

References

Biographical references

Scientific references

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