Crighton, David George (1942–2000), applied mathematician and fluid dynamicist

2004 ◽  
Author(s):  
H. K. Moffatt
Keyword(s):  
Applied Mathematician

scholarly journals Herbert Melvin Lieberstein

1975 ◽  
Vol 19 (1) ◽  
pp. 1-6
Author(s):  
R. G. Keats
Keyword(s):  
Recent Book ◽  
Australian Aborigines ◽  
Research And Teaching ◽  
Applied Mathematician ◽  
The World ◽  
Community Projects ◽  
Mathematical Physiology

Professor Herbert Melvin Lieberstein died at Royal Newcastle Hospital on 18th August,1973, at the age of 47. As an applied mathematician, Professor Lieberstein was devoted tohis research and teaching in the application of mathematics to other disciplines; his most recent book entitled “Mathematical Physiology”, was published just before his death. Because his interests coincided so closely with the aims and aspirations of theFaculty of Mathematics at Newcastle, his appointment to that Faculty in 1971 was particularly appropriate.He lived less than two years in Australia, but during that time he consolidated his reputation as a most versatile and successful applied mathematician. His work is well known throughout Australia and, indeed, throughout the world, especially to those who work in fields to which mathematics may be profitably applied. However, his versatility and ability were not confined to mathematics, for he also made substantial contributions to a number of community projects; these contributions will be long remembered by those interested in the welfare of the Australian Aborigines, problems of the environment and associated projects.

scholarly journals Frederick Gerard Friedlander. 25 December 1917 — 20 May 2001

2017 ◽  
Vol 63 ◽  
pp. 273-307
Author(s):  
D. E. Edmunds ◽  
L. E. Fraenkel ◽  
M. Pemberton
Keyword(s):  
Wave Equation ◽  
Partial Differential Equations ◽  
General Theory ◽  
Differential Equations ◽  
Trinity College ◽  
Shielding Effect ◽  
Abstract Theory ◽  
Curved Space ◽  
Applied Mathematician ◽  
Civil Defence

Gerard Friedlander was the son of Austrian communist intellectuals, who divorced when he was four. From the age of two he was raised by grandparents in Vienna, while his mother lived in Berlin as a communist organizer. Hitler came to power in 1933; Friedlander was sent to England, aged 16, in 1934; two years later, he won a scholarship to Trinity College, Cambridge. By 1940 he was a fully fledged applied mathematician who came to embrace both the European and British traditions of that subject. His work was marked by profound originality, by the importance of its applications and by the mathematical rigour of his treatment. The applications of his work changed over the years. The first papers (written between 1939 and 1941, but published only in 1946 for security reasons) were a contribution to Civil Defence: they presented entirely new and explicit results on the shielding effect of a wall from a distant bomb blast. The late papers were contributions to the general, more abstract theory of partial differential equations, but, characteristically, with concrete examples that illuminated obscure aspects of the general theory. Between these two, the middle years brought a flowering of results about the wave equation (including results for a curved space-time), of importance to both physicists and mathematicians.

Vortex Motion Behind a Circular Cylinder

1925 ◽  
Vol 29 (172) ◽  
pp. 189-195
Author(s):  
R. C. J. Howland
Keyword(s):  
Circular Cylinder ◽  
Single Case ◽  
Complete Solution ◽  
Vortex Motion ◽  
Theory And Practice ◽  
Turbulent Motion ◽  
Applied Mathematician

The study of aerodynamics is still largely empirical, and there seems little hope at present that the gap between theory and practice will be sensibly diminished by any means at present known to the applied mathematician. Yet the light that would, in all likelihood, be thrown on a number of practical problems by the complete solution of even a single case of turbulent motion would be very great. Of the problems that can be attempted, that of the flow of a fluid past a circular cylinder is likely to prove the least intractable.

scholarly journals David J. Benney: Nonlinear Wave and Instability Processes in Fluid Flows

2020 ◽  
Vol 52 (1) ◽  
pp. 21-36 ◽  
Author(s):  
T.R. Akylas
Keyword(s):  
Nonlinear Wave ◽  
Evolution Equations ◽  
Flow Instability ◽  
Three Dimensional ◽  
Fluid Flows ◽  
Nonlinear Evolution Equations ◽  
Nonlinear Phenomena ◽  
New Paradigm ◽  
Applied Mathematician ◽  
Modulated Wave Trains

David J. Benney (1930–2015) was an applied mathematician and fluid dynamicist whose highly original work has shaped our understanding of nonlinear wave and instability processes in fluid flows. This article discusses the new paradigm he pioneered in the study of nonlinear phenomena, which transcends fluid mechanics, and it highlights the common threads of his research contributions, namely, resonant nonlinear wave interactions; the derivation of nonlinear evolution equations, including the celebrated nonlinear Schrödinger equation for modulated wave trains; and the significance of three-dimensional disturbances in shear flow instability and transition.

John Womersley: Applied Mathematician and Pioneer of Modern Computing

2014 ◽  
Vol 36 (2) ◽  
pp. 60-70 ◽  
Author(s):  
Brian E. Carpenter ◽  
Robert W. Doran
Keyword(s):  
Applied Mathematician ◽  
Modern Computing

Looking Towards the GCSE Applied Mathematician

1988 ◽  
Vol 72 (462) ◽  
pp. 281
Author(s):  
Roger Whitworth
Keyword(s):  
Applied Mathematician

COMPUTATIONAL AEROACOUSTICS EXAMPLES SHOWING THE FAILURE OF THE ACOUSTIC ANALOGY THEORY TO IDENTIFY THE CORRECT NOISE SOURCES

2002 ◽  
Vol 10 (04) ◽  
pp. 387-405 ◽  
Author(s):  
CHRISTOPHER K. W. TAM
Keyword(s):  
Noise Source ◽  
Scaling Law ◽  
Sound Generation ◽  
Acoustic Analogy ◽  
Noise Sources ◽  
Instability Waves ◽  
Full Wave ◽  
Applied Mathematician ◽  
Misleading Interpretation ◽  
Dominant Theory

Lighthill's Acoustic Analogy has been the dominant theory of aeroacoustics, especially jet aeroacoustics for almost fifty years. As yet, except for the u8 scaling law, which was derived by dimensional analysis, jet noise prediction based on the Acoustic Analogy approach has not been particularly successful. This paper examines some of the weaknesses and ambiguities in the formulation of the Acoustic Analogy theories. It is concluded that if the analogy is carried out completely, in the sense that the full wave propagation terms are retained in the propagation part of the equations of the analogy, then the theory offers no sensible noise source terms. To demonstrate that the Acoustic Analogy can fail to identify the correct noise sources, four examples are considered. They include an initial value problem, a boundary problem, the problem of weak solution and the problem of sound generation by instability waves in jets and mixing layers. These examples show clearly how, in each case, the Acoustic Analogy theory identifies the wrong noise source. Indeed, the Acoustic Analogy could provide, if not careful, misleading interpretation of the physics of sound generation. This paper is dedicated to Professor David G. Crighton, outstanding applied mathematician, world famous acoustician and a much respected friend.

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