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Nonlinear and wave theory contributions of T. Brooke Benjamin (1929–1995). (English) Zbl 1125.76300

Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 38. Palo Alto, CA: Annual Reviews (ISBN 0-8243-0738-0/hbk). Annu. Rev. Fluid Mech. 38, 1-25 (2006).
Summary: Brooke Benjamin’s original theories of fluid mechanical phenomena changed our basic understanding of cavitation bubbles, surface and internal waves, gravity currents, instabilities of shear flow over flexible surfaces, and swirling flows. For some types of finite-amplitude wave phenomena, he generated integral constraints and derived new partial differential equations; by establishing their general properties he showed how they have wide application. He developed a complementary approach based on functional analysis that was quite new to fluid mechanics. He demonstrated methods for deriving, without detailed calculation, the essential features of nonlinear and indeterminate flow problems that are otherwise intractable.
For the entire collection see [Zbl 1081.76003].

MSC:

76-03 History of fluid mechanics
01A70 Biographies, obituaries, personalia, bibliographies
74J35 Solitary waves in solid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76D33 Waves for incompressible viscous fluids
76E05 Parallel shear flows in hydrodynamic stability

Keywords:

Obituary

Biographic References:

Benjamin, T. Brooke
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