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Author: J. Eggers Publisher: Cambridge University Press ISBN: 1107098416 Category : Mathematics Languages : en Pages : 471
Book Description
This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Author: J. Eggers Publisher: Cambridge University Press ISBN: 1107098416 Category : Mathematics Languages : en Pages : 471
Book Description
This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Author: J. Eggers Publisher: Cambridge University Press ISBN: 1316352390 Category : Mathematics Languages : en Pages : 471
Book Description
Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.
Author: P. A. Davidson Publisher: Cambridge University Press ISBN: 1316861953 Category : Science Languages : en Pages : 802
Book Description
Magnetohydrodynamics (MHD) plays a crucial role in astrophysics, planetary magnetism, engineering and controlled nuclear fusion. This comprehensive textbook emphasizes physical ideas, rather than mathematical detail, making it accessible to a broad audience. Starting from elementary chapters on fluid mechanics and electromagnetism, it takes the reader all the way through to the latest ideas in more advanced topics, including planetary dynamos, stellar magnetism, fusion plasmas and engineering applications. With the new edition, readers will benefit from additional material on MHD instabilities, planetary dynamos and applications in astrophysics, as well as a whole new chapter on fusion plasma MHD. The development of the material from first principles and its pedagogical style makes this an ideal companion for both undergraduate students and postgraduate students in physics, applied mathematics and engineering. Elementary knowledge of vector calculus is the only prerequisite.
Author: Shuxing Chen Publisher: World Scientific ISBN: 9814304832 Category : Mathematics Languages : en Pages : 207
Book Description
The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.
Author: Jean Bernard Lasserre Publisher: Cambridge University Press ISBN: 1316240398 Category : Mathematics Languages : en Pages : 355
Book Description
This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.
Author: Kaoru Yamanouchi Publisher: Springer ISBN: 3319524313 Category : Science Languages : en Pages : 278
Book Description
This book features chapters based on lectures presented by world-leading researchers of photon science from Russia and Japan at the first “STEPS Symposium on Photon Science” held in Tokyo in March 2015. It describes recent progress in the field of photon science, covering a wide range of interest to experts in the field, including laser-plasma interaction, filamentation and its applications, laser assisted electron scattering, exotic properties of light, ultrafast imaging, molecules and clusters in intense laser fields, photochemistry and spectroscopy of novel materials, laser-assisted material synthesis, and photon technology.
Author: J. Eggers
Author: J. Eggers
Author: J. Eggers
Author: Valeria Banica
Author: Andreas Martin
Author: A. Bove
Author: P. A. Davidson
Author: Christian Andreas
Author: Shuxing Chen
Author: Jean Bernard Lasserre
Author: Kaoru Yamanouchi