Vladimir Alexandrovich Marchenko (russian: Влади́мир Алекса́ндрович Ма́рченко, uk, Володи́мир Олекса́ндрович Ма́рченко; born 7 July 1922) is a
Soviet
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nation ...
and
Ukrainian
Ukrainian may refer to:
* Something of, from, or related to Ukraine
* Something relating to Ukrainians, an East Slavic people from Eastern Europe
* Something relating to demographics of Ukraine in terms of demography and population of Ukraine
* So ...
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
who specializes in
mathematical physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...
.
Biography
Vladimir Marchenko was born in
Kharkiv
Kharkiv ( uk, wikt:Харків, Ха́рків, ), also known as Kharkov (russian: Харькoв, ), is the second-largest List of cities in Ukraine, city and List of hromadas of Ukraine, municipality in Ukraine.Naum Landkof, and in 1951 he defended his DSc thesis. He worked in
Kharkiv University
The Kharkiv University or Karazin University ( uk, Каразінський університет), or officially V. N. Karazin Kharkiv National University ( uk, Харківський національний університет імені ...
until 1961. For 4 decades, he headed the Mathematical Physics Department at the
B Verkin Institute for Low Temperature Physics and Engineering
The B. Verkin Institute for Low Temperature Physics and Engineering ( uk, Фізико-технічний інститут низьких температур імені Б. І. Вєркіна) is a research institute that conducts basic research ...
of the National Academy of Sciences of Ukraine.
He was awarded the Lenin Prize in 1962, the N. N. Krylov Prize in 1980, the State Prize of the Ukrainian SSR in 1989, and the N. N. Bogolyubov prize in 1996. Since 1969 he is a member of the
National Academy of Sciences of Ukraine
The National Academy of Sciences of Ukraine (NASU; uk, Національна академія наук України, ''Natsional’na akademiya nauk Ukrayiny'', abbr: NAN Ukraine) is a self-governing state-funded organization in Ukraine th ...
, since 1987 of the
Russian Academy of Sciences
The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...
and since 2001 of the
Royal Norwegian Society of Sciences and Letters
The Royal Norwegian Society of Sciences and Letters ( da, Det Kongelige Norske Videnskabers Selskab, DKNVS) is a Norwegian learned society based in Trondheim. It was founded in 1760 and is Norway's oldest scientific and scholarly institution. The ...
Marchenko made fundamental contributions to the analysis of the Sturm–Liouville operators. He introduced one of the approaches to the inverse scattering problem for Sturm–Liouville operators, and derived what is now called the
Marchenko equation In mathematical physics, more specifically the one-dimensional inverse scattering problem, the Marchenko equation (or Gelfand-Levitan-Marchenko equation or GLM equation), named after Israel Gelfand, Boris Levitan and Vladimir Marchenko, is derived b ...
.
Random matrices
Together with
Leonid Pastur
Leonid Andreevich Pastur ( uk, Леонід Андрійович Пастур, russian: Леонид Андреевич Пастур) (born 21 August 1937) is a Ukrainian mathematical physicist and theoretical physicist, known in particular for co ...
Together with E. Ya. Khruslov, Marchenko authored one of the first mathematical books on
homogenization
Homogeneity is a sameness of constituent structure.
Homogeneity, homogeneous, or homogenization may also refer to:
In mathematics
*Transcendental law of homogeneity of Leibniz
* Homogeneous space for a Lie group G, or more general transformati ...
.
Integrable systems
Notes
Selected publications
* . The second edition was translated into English:
* .