Eberhard Hopf
German mathematician / From Wikipedia, the free encyclopedia
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Eberhard Frederich Ferdinand Hopf (April 4, 1902 in Salzburg, Austria-Hungary – July 24, 1983 in Bloomington, Indiana, USA) was a German mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made significant contributions to the subjects of partial differential equations and integral equations, fluid dynamics, and differential geometry. The Hopf maximum principle is an early result of his (1927) that is one of the most important techniques in the theory of elliptic partial differential equations.
Quick Facts Born, Died ...
Eberhard Hopf | |
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Born | (1902-04-04)4 April 1902 |
Died | 24 July 1983(1983-07-24) (aged 81) Bloomington, Indiana, United States |
Nationality | German |
Alma mater | University of Berlin |
Known for | Bifurcation theory Differential geometry Ergodic theory Partial differential equation Hopf bifurcation Hopf decomposition Hopf lemma Hopf maximum principle Cole–Hopf transformation Landau–Hopf theory of turbulence Wiener–Hopf method |
Awards | Leroy P. Steele Prize (1981) Gibbs Lecture (1971) ICM speaker (1950) |
Scientific career | |
Fields | Mathematician |
Institutions | MIT (1931-36) University of Leipzig (1936-42) University of Munich (1944-47) Indiana Univ. Bloomington (1949-83) |
Doctoral advisor | Erhard Schmidt Issai Schur |
Doctoral students | Albert Schaeffer |
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