Publications
20 results found
Berkshire F, Mavroyiakoumou C, 2020, Collinear interaction of vortex pairs with different strengths - criteria for leapfrogging, Physics of Fluids, Vol: 32, ISSN: 1070-6631
We formulate a system of equations that describes the motion of four vortices made up of two interacting vortex pairs, where the absolute strengths of the pairs are different. Each vortex pair moves along the same axis in the same sense. In much of the literature, the vortex pairs have equal strength. The vortex pairs can either escape to in finite separation or undergo a periodic leapfrogging motion. We determine an explicit criterion in terms of the initial horizontal separation of the vortex pairs given as a function of the ratio of their strengths, to describe a periodic leapfrogging motion when interacting along the line ofsymmetry. In an appendix we also contrast a special case of interaction of a vortex pair with a single vortex of the same strength in which a vortex exchange occurs.
Kibble TWB, Berkshire FH, 2004, Classical mechanics, London, Publisher: Imperial College Press, ISBN: 9781860944246
Berkshire FH, 2004, End notes, Kingston, Ontario, Statistics, science and public policy VIII : science, ethics and the law: proceedings of the conference on statistics, science and public policy held at Herstmonceux Castle, Hailsham, U.K., 23 - 26 April 2003, Publisher: Queen's University, Pages: 217-220
Berkshire FH, 2003, Who owns mathematics? Of beautiful mind or beautifully mined?, Kingston, Ontario, Statistics, science and public policy VII : environment, health and globalization : proceedings of the conference on statistics, science and public policy held at Herstmonceux Castle, Hailsham, U.K., 17 - 20 April 2002, Publisher: Queen's University, Pages: 165-170
Berkshire FH, 2001, The current appropriate ineffectiveness of mathematics in the measuring of educational outcomes, Ontario, Statistics, science and public policy VI : science and responsibility : proceedings of the conference on statistics, science and public policy held at Herstmonceux Castle, Hailsham, UK., 18 -21 April 2001, Publisher: Queen's University, Pages: 203-207
Berkshire FH, 2000, Heisenberg's Uncertainty Principle and Quality Assurance, Ontario, Statistics, Science and Public Policy V - Society, Science and Education, Publisher: Queen's University, Pages: 105-112
Bull AMJ, Berkshire FH, Amis AA, 1998, Accuracy of an electromagnetic measurement device and application to the measurement and description of knee joint motion, Proceedings of the Institution of Mechanical Engineers Part H-Journal of Engineering in Medicine, Vol: 212, Pages: 347-355, ISSN: 0954-4119
BERKSHIRE FH, 1984, ORDINARY DIFFERENTIAL-EQUATIONS - MARTIN,RH, MATHEMATICAL GAZETTE, Vol: 68, Pages: 69-70, ISSN: 0025-5572
BERKSHIRE FH, GIBBON JD, 1983, COLLAPSE IN THE N-DIMENSIONAL NON-LINEAR SCHRODINGER-EQUATION - A PARALLEL WITH SUNDMAN RESULTS IN THE N-BODY PROBLEM, STUDIES IN APPLIED MATHEMATICS, Vol: 69, Pages: 229-262, ISSN: 0022-2526
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- Citations: 39
Berkshire FH, Smith RL, 1982, The Thrown String, Journal of the Royal Statistical Society, Vol: 44, Pages: 131-132
Berkshire FH, Pickersgill AO, 1978, Resonance Characteristics of Linear Lee Waves in an Atmosphere of three Layers, Quarterly Journal of the Royal Metereological Society, Vol: 104, Pages: 895-909
BERKSHIRE FH, PICKERSGILL AO, 1978, RESONANCE CHARACTERISTICS OF LINEAR LEE WAVES IN AN ATMOSPHERE OF 3 LAYERS, QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, Vol: 104, Pages: 895-909, ISSN: 0035-9009
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- Citations: 5
BERKSHIRE FH, 1977, SPECTRUM OF LEE WAVES IN STRATIFIED FLOWS, GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, Vol: 49, Pages: 269-269, ISSN: 0016-8009
BERKSHIRE FH, 1975, 2-DIMENSIONAL LINEAR LEE WAVE MODES FOR MODELS INCLUDING A STRATOSPHERE, QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, Vol: 101, Pages: 259-266, ISSN: 0035-9009
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- Citations: 8
BERKSHIRE FH, 1975, CRITICAL LEVELS IN A 3-DIMENSIONAL STRATIFIED SHEAR-FLOW, PURE AND APPLIED GEOPHYSICS, Vol: 113, Pages: 561-568, ISSN: 0033-4553
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- Citations: 2
BERKSHIRE FH, 1975, CRITICAL LEVELS IN A 3-DIMENSIONAL STRATIFIED SHEAR-FLOW, TRANSACTIONS-AMERICAN GEOPHYSICAL UNION, Vol: 56, Pages: 169-169, ISSN: 0002-8606
Berkshire FH, 1975, Critical Levels in a Three-Dimensioanl Stratified Shear Flow, PAGEOPH, Vol: 113, Pages: 561-568
Berkshire FH, 1975, Two Dimensional Linear Lee Wave Modes for Models including a Stratosphere, Quarterly Journal of the Royal Meteorological Society, Vol: 101, Pages: 259-266
BERKSHIRE FH, WARREN FWG, 1970, SOME ASPECTS OF LINEAR LEE WAVE THEORY FOR STRATOSPHERE, QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, Vol: 96, Pages: 50-+, ISSN: 0035-9009
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- Citations: 14
Berkshire FH, Warren FWG, 1970, Some Aspects of Linear Lee Wave Theory for the Stratosphere, Quarterly Journal of the Royal Meteorological Society, Vol: 96, Pages: 50-66
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