Eberhard Hopf

Eberhard Hopf
Born	(1902-04-04)4 April 1902 Salzburg, Austria-Hungary
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

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.