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Olga Oleinik

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Nationality
  
Soviet

Fields
  
Mathematics


Role
  
Mathematician

Name
  
Olga Oleinik

Doctoral advisor
  
Ivan Petrovsky

Olga Oleinik httpsuploadwikimediaorgwikipediacommons66

Born
  
2 July 1925 Matusiv, Shpola Raion, Ukrainian SSR, Soviet Union (
1925-07-02
)

Institutions
  
Moscow State University

Alma mater
  
Moscow State University, 1954 (PhD)

Known for
  
Theory of elasticity, partial differential equations, boundary layer theory, weak solutions of nonlinear differential equations

Influenced
  
Theory of elasticity, partial differential equations, boundary layer theory, weak solutions of nonlinear differential equations

Notable awards
  
1952 Chebotarev Prize, 1964 Lomonosov Prize, 1988 USSR State Prize, 1995 Petrowsky Prize, Prize of the Russian Academy of Sciences

Died
  
October 13, 2001, Moscow, Russia

Awards
  
USSR State Prize, Noether Lecture, Lomonosov Gold Medal

Books
  
Mathematical Problems in Elastici, Second‑Order Equations With Non, Mathematical Models in Boundary, Some Asymptotic Problems

Education
  
Moscow State University

Olga Arsenievna Oleinik (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.

Contents

She received many prizes for her remarkable contributions: the Chebotarev Prize in 1952; the Lomonosov Prize in 1964; 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 May 2, 1985 Olga Oleinik was awarded the laurea honoris causa by the Sapienza University of Rome, jointly with Fritz John.

Research activity

She authored more than 370 mathematical publications and 8 monographs, as the sole author or in collaboration with others: her work covers algebraic geometry, the theory of partial differential equations where her work enlightened various aspects, 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", Uspekhi Matematicheskikh Nauk (in Russian), 12 (3(75)): 3–73, MR 94541, Zbl 0080.07701 . An important paper where the author describes generalized solutions of 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"", Uspekhi Matematicheskikh Nauk (in Russian), 14 (2(86)): 159–164, MR 117426, Zbl 0096.06603 . An important paper where the author constructs a weak solution in BV for a nonlinear partial differential equation with the method of vanishing viscosity.
  • Oleinik, O. A. (1960), "A method of solution of the general Stefan problem", Doklady Akademii Nauk SSSR (in Russian), 135: 1050–1057, Zbl 0131.09202 . An important paper in the theory of the Stefan problem: generalizing earlier work of her doctoral student S. L. Kamenomostskaya, the author proves the existence of a generalized solution for the multi dimensional model.
  • Oleinik, Olga A.; Radkevich, Evgenii V. (1973), Second order equations with nonnegative characteristic form, New York and London / Providence, R.I.: Plenum Press / AMS, pp. vii+259, ISBN 0-306-30751-0, MR 457907, Zbl 0217.41502  (reviews of the Russian edition).
  • Oleinik, Olga Arsenievna; Kondratiev, Vladimir Alexandrovitch (1989), "On Korn's inequalities", Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Série I: Mathématiques, 308 (16): 483–487, MR 0995908, Zbl 0698.35067 .
  • Cioranescu, Doina; Oleinik, Olga Arsenievna; Tronel, Gérard (1989), "On Korn's inequalities for frame type structures and junctions", Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Série I: Mathématiques, 309 (9): 591–596, MR 1053284, 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, 26, Amsterdam – London – New York – Tokyo: North-Holland, pp. xiv+398, ISBN 0-444-88441-6, MR 1195131, Zbl 0768.73003 .
  • Oleinik, Olga A. (1992), "Korn's Type inequalities and applications to elasticity", in Amaldi, E.; Amerio, L.; Fichera, G.; Gregory, T.; Grioli, G.; Martinelli, E.; Montalenti, G.; Pignedoli, A.; Salvini, Giorgio; Scorza Dragoni, Giuseppe, Convegno internazionale in memoria di Vito Volterra (8–11 ottobre 1990), Atti dei Convegni Lincei (in Italian), 92, Roma: Accademia Nazionale dei Lincei, pp. 183–209, ISSN 0391-805X, MR 1783034, Zbl 0972.35013. .
  • Kozlov, S. M.; Oleinik, O. A.; Zhikov, V. V. (1994), Homogenization of differential operators and integral functionals, Berlin-Heidelberg-New York: Springer-Verlag, pp. xii+570, ISBN 3-540-54809-2, MR 1329546, Zbl 0838.35001 .
  • Oleinik, O. A.; Samokhin, V. N. (1999), Mathematical models in boundary layer theory, Applied Mathematics and Mathematical Computation, 15, London-Weinheim-New York-Tokyo-Melbourne-Madras: Chapman & Hall/CRC Press, pp. x+516, ISBN 1-58488-015-5, MR 1697762, Zbl 0928.76002 .

    • References

    Olga Oleinik Wikipedia
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