Denis L. Blackmore's Books

Vortex Dominated Flows

A Volume Celebrating Lu Ting's 80th Birthday

By: Denis L. Blackmore,Egon Krause

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Vortex Dominated Flows

A Volume Celebrating Lu Ting's 80th Birthday

By: Denis L. Blackmore,Egon Krause

Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena.The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective.Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled ?Periodic vibrations of systems governed by nonlinear partial differential equations?, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems.

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Page Count

299

Publisher

World Scientific

Published Date

ISBN 10

9812563202

ISBN 13

9789812563200

Nonlinear Dynamical Systems of Mathematical Physics

Spectral and Symplectic Integrability Analysis

By: Denis L. Blackmore,Anatoli? Karolevich Prikarpatski?,Valeriy Hr Samoylenko

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Nonlinear Dynamical Systems of Mathematical Physics

Spectral and Symplectic Integrability Analysis

By: Denis L. Blackmore,Anatoli? Karolevich Prikarpatski?,Valeriy Hr Samoylenko

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field - including some innovations by the authors themselves - that have not appeared in any other book. The exposition begins with an introduction to modern integrable dynamical systems theory, treating such topics as Liouville?Arnold and Mischenko?Fomenko integrability. This sets the stage for such topics as new formulations of the gradient-holonomic algorithm for Lax integrability, novel treatments of classical integration by quadratures, Lie-algebraic characterizations of integrability, and recent results on tensor Poisson structures. Of particular note is the development via spectral reduction of a generalized de Rham?Hodge theory, related to Delsarte-Lions operators, leading to new Chern type classes useful for integrability analysis. Also included are elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental differential-geometric concepts making this volume essentially self-contained. This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.

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Page Count

563

Publisher

World Scientific

Published Date

ISBN 10

9814327158

ISBN 13

9789814327152

Frontiers of Applied and Computational Mathematics

New Jersey Institute of Technology, USA, 19-21 May 2008

By: Denis L. Blackmore,Amithaba Bose,Peter G. Petropoulos

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Frontiers of Applied and Computational Mathematics

New Jersey Institute of Technology, USA, 19-21 May 2008

By: Denis L. Blackmore,Amithaba Bose,Peter G. Petropoulos

This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM'08), held at the New Jersey Institute of Technology (NJIT), May 19?21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world's most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a ?must read? for active mathematical scientists. Included are major new contributions by a distinguished trio of plenary speakers: Frank Hoppensteadt contributes a thought-provoking paper on the evolving relationship between applied mathematics and the computer; Pranab Sen explores exciting new trends in computational biology and informatics; and Jean-Marc Vanden-Broeck describes his recent research on 3D free surface flows. There are also many innovative contributions by a prestigious group of invited mini-symposium speakers, making this an indispensable collection for professionals and graduate students in the mathematical sciences and related fields.Finally, the 75th birthday dedication to Daljit S Ahluwalia ? for his many contributions to building a world-class mathematical sciences department at NJIT ? adds to making this a one-of-a-kind volume.

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Page Count

275

Publisher

World Scientific

Published Date

ISBN 10

9812835288

ISBN 13

9789812835284

Book's by Denis L. Blackmore

Vortex Dominated Flows

Vortex Dominated Flows

Nonlinear Dynamical Systems of Mathematical Physics

Nonlinear Dynamical Systems of Mathematical Physics

Frontiers of Applied and Computational Mathematics

Frontiers of Applied and Computational Mathematics

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