Olga Ladyzhenskaya
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Olga Aleksandrovna Ladyzhenskaya ( rus, Ольга Александровна Ладыженская, links=no, p=ˈolʲɡə ɐlʲɪˈksandrəvnə ɫɐˈdɨʐɨnskəɪ̯ə, a=Ru-Olga Aleksandrovna Ladyzhenskaya.wav; 7 March 1922 – 12 January 2004) was a Russian mathematician who worked on
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...
s,
fluid dynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion ...
, and the finite-difference method for the
Navier–Stokes equations The Navier–Stokes equations ( ) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician Georg ...
. She received the Lomonosov Gold Medal in 2002. She authored more than two hundred scientific publications, including six
monograph A monograph is generally a long-form work on one (usually scholarly) subject, or one aspect of a subject, typically created by a single author or artist (or, sometimes, by two or more authors). Traditionally it is in written form and published a ...
s.


Biography

Ladyzhenskaya was born and grew up in the small town of Kologriv, the daughter of a mathematics teacher who is credited with her early inspiration and love of mathematics. The artist Gennady Ladyzhensky was her grandfather's brother, also born in this town. In 1937 her father, Aleksandr Ivanovich Ladýzhenski, was arrested by the
NKVD The People's Commissariat for Internal Affairs (, ), abbreviated as NKVD (; ), was the interior ministry and secret police of the Soviet Union from 1934 to 1946. The agency was formed to succeed the Joint State Political Directorate (OGPU) se ...
and executed as an "
enemy of the people The terms enemy of the people and enemy of the nation are designations for the political opponents and the social class, social-class opponents of the Power (social and political), power group within a larger social unit, who, thus identified, ...
". Ladyzhenskaya completed high school in 1939, unlike her older sisters who weren't permitted to do the same. She was not admitted to the Leningrad State University due to her father's status and attended a pedagogical institute. After the German invasion of June 1941, she taught school in Kologriv. She was eventually admitted to
Moscow State University Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public university, public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, a ...
in 1943 and graduated in 1947. She began teaching in the
Physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
department of the university in 1950 and defended her
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
there, in 1951, under Sergei Sobolev and Vladimir Smirnov. She received a second doctorate from the Moscow State University in 1953. In 1954, she joined the mathematical physics laboratory of the Steklov Institute and became its head in 1961. Ladyzhenskaya had a love of arts and storytelling, counting writer
Aleksandr Solzhenitsyn Aleksandr Isayevich Solzhenitsyn. (11 December 1918 – 3 August 2008) was a Soviet and Russian author and Soviet dissidents, dissident who helped to raise global awareness of political repression in the Soviet Union, especially the Gulag pris ...
and poet
Anna Akhmatova Anna Andreyevna Gorenko rus, А́нна Андре́евна Горе́нко, p=ˈanːə ɐnˈdrʲe(j)ɪvnə ɡɐˈrʲɛnkə, a=Anna Andreyevna Gorenko.ru.oga, links=yes; , . ( – 5 March 1966), better known by the pen name Anna Akhmatova,. ...
among her friends. Like Solzhenitsyn she was religious. She was once a member of the city council, and engaged in
philanthropic Philanthropy is a form of altruism that consists of "private initiatives for the public good, focusing on quality of life". Philanthropy contrasts with business initiatives, which are private initiatives for private good, focusing on material ...
activities, repeatedly risking her personal safety and career to aid people opposed to the Soviet regime. Ladyzhenskaya suffered from various eye problems in her later years and relied on special pencils to do her work. Two days before a trip to Florida, she died in her sleep in Russia on 12 January 2004.


Mathematical accomplishments

Ladyzhenskaya is known for her work on
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...
s (especially Hilbert's nineteenth problem) and
fluid dynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion ...
. She provided the first rigorous proofs of the convergence of a
finite difference method In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating Derivative, derivatives with Finite difference approximation, finite differences. Both the spatial doma ...
for the
Navier–Stokes equations The Navier–Stokes equations ( ) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician Georg ...
. She analyzed the regularity of parabolic equations, with Vsevolod A. Solonnikov and her student Nina Ural'tseva, and the regularity of quasilinear elliptic equations. She wrote a student thesis under Ivan Petrovsky and was on the shortlist for the 1958
Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
, ultimately awarded to Klaus Roth and René Thom.


Publications

* . * . * . * (Translated by Jack Lohwater). *


Awards and recognitions

* P. L. Chebyshev Prize (with Nina Nikolayevna Ural'tseva ) (1966) for the work "Linear and quasilinear equations of elliptic type" * USSR State Prize (1969) * Member of Lincei National Academy in Rome (1989) * Member of the
Russian Academy of Sciences The Russian Academy of Sciences (RAS; ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such ...
(1990) * Kovalevskaya Prize (1992) for the series of works "Attractors for Semigroups and Evolution Equations" * ICM Emmy Noether Lecture (1994) * John von Neumann Lecture (1998) * Order of Friendship (1999) * Lomonosov Gold Medal (2002) for outstanding achievements in the field of the theory of partial differential equations and mathematical physics * On 7 March 2019, the 97th anniversary of Ladyzhenskaya's birth, the search engine
Google Google LLC (, ) is an American multinational corporation and technology company focusing on online advertising, search engine technology, cloud computing, computer software, quantum computing, e-commerce, consumer electronics, and artificial ...
released a Google Doodle commemorating her. The accompanying comment read, "Today's Doodle celebrates Olga Ladyzhenskaya, a Russian mathematician who triumphed over personal tragedy and obstacles to become one of the most influential thinkers of her generation." * In 2022, the " Ladyzhenskaya Prize in Mathematical Physics" is created in her honor. It has been awarded for the first time on 2 July 2022 to Svetlana Jitomirskaya in a joint session at (WM)², World Meeting for Women in Mathematics and at the Probability and Mathematical Physics conference OAL Prize Winner 2022.


Notes


See also

* Projection method (fluid dynamics)


References

* * . Some recollections of the authors about Olga Ladyzhenskaya and Olga Oleinik. * . * * * . A biography in th
Biographies of Women Mathematicians
Agnes Scott College. * . * . Some recollections of the author about Olga Ladyzhenskaya and Olga Oleinik. * * * []


External links

* . The schedule of a workshop in honour of Olga A. Ladyzhenskaya. * . The proceedings of a workshop in honour of Olga Ladyzhenskaya and Olga Oleinik. * . * . * * . Memorial page at th
Saint Petersburg Mathematical Pantheon
{{DEFAULTSORT:Ladyzhenskaya, Olga A. 1922 births 2004 deaths People from Kologrivsky District Writers from Kostroma Oblast 20th-century Russian mathematicians 20th-century Russian women scientists Mathematical analysts Full Members of the USSR Academy of Sciences Full Members of the Russian Academy of Sciences Fluid dynamicists Partial differential equation theorists Recipients of the Lomonosov Gold Medal 20th-century women mathematicians Moscow State University alumni Saint Petersburg State University alumni Academic staff of the Steklov Institute of Mathematics Russian Christians Soviet mathematicians Russian scientists