Olga Oleinik
Olga Arsenievna Oleinik | |
---|---|
Theory of elasticity, partial differential equations, boundary layer theory, weak solutions of nonlinear differential equations | |
Awards | 1952 Chebotarev Prize, 1988 USSR State Prize, 1995 Petrowsky Prize, Prize of the Russian Academy of Sciences |
Scientific career | |
Fields | Mathematics |
Institutions | Moscow State University |
Doctoral advisor | Ivan Petrovsky |
Olga Arsenievna Oleinik (also as Oleĭnik)
HFRSE (Russian: О́льга Арсе́ньевна Оле́йник) (2 July 1925 – 13 October 2001) was a Soviet mathematician who conducted pioneering work on the theory of partial differential equations, the theory of strongly inhomogeneous elastic media, and the mathematical theory of boundary layers. She was a student of Ivan Petrovsky. She studied and worked at the Moscow State University
.
She received many prizes for her remarkable contributions: the Chebotarev Prize in 1952; the State Prize 1988; the Petrowsky Prize in 1995; and the Prize of the Russian Academy of Sciences in 1995. Also she was member of several foreign academies of sciences, and earned several honorary degrees.
Life
On 2 May 1985 Olga Oleinik was awarded the
Work
Research activity
She authored more than 370 mathematical publications and 8 monographs, as the sole author or in collaboration with others: her work covers
elasticity theory and boundary layers
theory.
Teaching activity
She was an enthusiast and very active teacher, advising the thesis of 57 "candidates".
Selected publications of Olga Oleinik
- Oleinik, Olga A. (1957), "Discontinuous solutions of non-linear differential equations", nonlinear partial differential equations as BV functions.
- Oleinik, Olga A. (1959), "Construction of a generalized solution of the Cauchy problem for a quasi-linear equation of first order by the introduction of "vanishing viscosity"", nonlinear partial differential equation with the method of vanishing viscosity.
- Oleinik, O. A. (1960), "A method of solution of the general Stefan problem", generalized solution for the multi dimensionalmodel.
- Oleinik, Olga A.; Radkevich, Evgenii V. (1973), Second order equations with nonnegative characteristic form, New York and London / Zbl 0217.41502(reviews of the Russian edition).
- Oleinik, Olga Arsenievna; Kondratiev, Vladimir Alexandrovitch (1989), "On Korn's inequalities", Zbl 0698.35067.
- Cioranescu, Doina; Oleinik, Olga Arsenievna; Tronel, Gérard (1989), "On Korn's inequalities for frame type structures and junctions", Zbl 0937.35502.
- Oleinik, O. A.; Shamaev, A. S.; Yosifian, G. A. (1991), Mathematical problems in elasticity and homogenization, Studies in Mathematics and its Applications, vol. 26, Zbl 0768.73003.
- Oleinik, Olga A. (1992), "Korn's Type inequalities and applications to elasticity", in Zbl 0972.35013, archived from the originalon 7 January 2017, retrieved 27 July 2014.
- Kozlov, S. M.; Oleinik, O. A.; Zhikov, V. V. (1994), Homogenization of differential operators and integral functionals, Zbl 0838.35001.
- Oleinik, O. A.; Samokhin, V. N. (1999), Mathematical models in boundary layer theory, Applied Mathematics and Mathematical Computation, vol. 15, London-Zbl 0928.76002.
See also
- Boundary layer
- Bounded variation
- Elasticity theory
- Homogenization
- Partial differential equations
- Stefan problem
- Weak solutions
Notes
- ^ See (Vernacchia-Galli 1986, pp. 845–855).
References
Biographical and general references
- Colautti Fichera, Matelda (December 2006), ... ed è subito sera... La lunga, brevissima vita di Gaetano Fichera (The long, extremely short life of Gaetano Fichera) (in Italian), Self-published, p. 217. The story of the life of Gaetano Ficherawritten by his wife, Matelda Colautti Fichera: this reference is important for understanding the friendship between Olga Oleinik, Gaetano Fichera and his wife.
- MSRI, retrieved 1 July 2009. Some recollections of the authors about Olga Ladyzhenskayaand Olga Oleinik.
- Jäger, Willi; Zbl 1159.01335. An ample commemorative paper written by three friends/collaborators.
- ).
- Zbl 1290.35002. A short obituary notice by Louis Nirenberg.
- MSRI, retrieved 1 July 2009. Some recollections of the author about Olga Ladyzhenskayaand Olga Oleinik.
- Venttsel', T. D.; Zbl 1050.01527.
- Vernacchia-Galli, Jole (1986), "Olga Arsenievna Oleinik", Regesto delle lauree honoris causa dal 1944 al 1985, Studi e Fonti per la storia dell'Università di Roma (in Italian), vol. 10, Roma: Edizioni Dell'Ateneo, pp. 845–855. The "regest of honoris causa degrees from 1944 to 1985" (English translation of the title) is itself a detailed and carefully commented regest of all the documents of the official archive of the Sapienza University of Rome pertaining to the honoris causa degrees awarded or not. It includes all the awarding proposals submitted during the considered period, detailed presentations of the work of the candidate, if available, and precise references to related articles published on Italian newspapers and magazines, if the laurea was awarded.
Scientific references
- Zbl 1200.35158. This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented, and the work of many contributors, like Olga Oleinik, Gaetano Fichera, the Author himself and others area thoroughly reviewed.
- Zbl 1200.35157. This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented, and the work of many contributors, like Olga Oleinik, Gaetano Fichera, the Author himself and others area thoroughly reviewed.
External links
- proceedings of a workshop in honour of Olga Ladyzhenskayaand Olga Oleinik.
- O'Connor, John J.; Robertson, Edmund F., "Olga Oleinik", MacTutor History of Mathematics Archive, University of St Andrews.
- Olga Oleinik at the Mathematics Genealogy Project.
- Olga Oleinik at PlanetMath.
- Riddle, Larry, ed. (8 December 2010), Olga Arsen'enva Oleinik, retrieved 5 May 2011. A biography in the Biographies of Women Mathematicians, Agnes Scott College.