Volodymyr Marchenko

Volodymyr Oleksandrovych Marchenko (Ukrainian: Володи́мир Олекса́ндрович Ма́рченко; born 7 July 1922) is a Ukrainian mathematician who specialises in mathematical physics.^[1]

Biography

Volodymyr Oleksandrovych Marchenko was born in Kharkiv on 7 July 1922. He defended his PhD thesis in 1948 under the supervision of Naum Landkof, and in 1951, he defended his DSc thesis. He worked in Kharkiv University until 1961. For 4 decades, he headed the Mathematical Physics Department at the Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.

Marchenko was awarded the Lenin Prize in 1962, the N. N. Krylov Prize in 1980, the State Prize of Ukraine in Science and Technology in 1989, and the N. N. Bogolyubov prize in 1996. Since 1969 he is a member of the National Academy of Sciences of Ukraine, since 1987 of the Russian Academy of Sciences and since 2001 of the Royal Norwegian Society of Sciences and Letters.^[1]

Marchenko turned 100 on 7 July 2022.^[2]

Work

Differential operators

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.

Random matrices

Together with Leonid Pastur, Volodymyr Marchenko discovered the Marchenko–Pastur law in random matrix theory.

Homogenization

Together with E. Ya. Khruslov, Marchenko authored one of the first mathematical books on homogenization.^[3]

Integrable systems

Awards

Order of Prince Yaroslav the Wise, III class (August 24, 2017) - for significant personal contribution to state-building, socio-economic, scientific, technical, cultural and educational development of Ukraine, significant labor achievements and high professionalism^[4]
Order of Prince Yaroslav the Wise, IV class (August 20, 2007) - for significant personal contribution to the socio-economic, cultural development of the Ukrainian state, significant labor achievements and on the occasion of the 16th anniversary of Ukraine's independence^[5]
Order of Prince Yaroslav the Wise, V class (July 16, 2002) - for significant personal contribution to the development of national science, many years of fruitful activity^[6]^[7]
Two Orders of the Red Banner of Labour (1967 and 1972)
Honorary citizen of Kharkiv Oblast (2007)^[8]

Notes

^ ^a ^b Berezanskiĭ, Yu. M.; Zakharov, V. E.; Mitropolʹskiĭ, Yu. A.; Ostrovskii, I. V.; Pastur, L. A.; Pogorelov, A. V.; Rofe-Beketov, F. S.; Skrypnik, I. V.; Khruslov, E. Ya. (2003), "Vladimir Aleksandrovich Marchenko (on the occasion of his eightieth birthday)", Russian Math. Surveys, 58 (4): 813–816, doi:10.1070/rm2003v058n04abeh000660, MR 2042920, S2CID 250847938
^ "Академик Марченко Владимир Александрович 100" [Academician Marchenko Vladimir Alexandrovich 100]. Russian Academy of Sciences (in Russian). 7 July 2022. Retrieved 26 November 2022.
^ Marčenko & Khruslov (1974)
^ Decree of the President of Ukraine from 24 серпня 2017 year № 251/2017 «Про відзначення державними нагородами України з нагоди Дня незалежності України» (in Ukrainian)
^ Decree of the President of Ukraine from 20 серпня 2007 year № 715/2007 «Про відзначення державними нагородами України працівників підприємств, установ та організацій з нагоди Дня незалежності України» (in Ukrainian)
^ Decree of the President of Ukraine from 16 липня 2002 year № 649/2002 «Про відзначення орденом князя Ярослава Мудрого» (in Ukrainian)
^ Олександр Смирнов. Мудрець п'ятого ступеня? Дзеркало тижня, 18 жовтня 2002
^ "Почесні громадяни Харківської області (2006-2020)". WEB-проєкт Харківської обласної універсальної наукової бібліотеки. Archived from the original on 28 June 2020. Retrieved 2021-09-07.

Selected publications

Marčenko, V. A.; Khruslov, E. Ya. (1974), Boundary value problems in domains with a fine-grained boundary (in Russian), Kiev: Naukova Dumka, MR 0601059. The second edition was translated into English: Marchenko, V. A.; Khruslov, E. Ya. (2006), Homogenization of partial differential equations, Progress in Mathematical Physics, vol. 46, Boston, MA: Birkhäuser Boston, Inc., ISBN 978-0-8176-4351-5, MR 2182441
Marchenko, V. A. (2011), Sturm-Liouville operators and applications (2 ed.), Providence: American Mathematical Society, doi:10.1090/chel/373, ISBN 978-0-8218-5316-0, MR 2798059.