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  3. Differentialregning & ligninger

Applications Of Lie Group Analysis In Geophysical Fluid Dynamics

Af: Nail H Ibragimov, Ranis N Ibragimov Engelsk Hardback

Applications Of Lie Group Analysis In Geophysical Fluid Dynamics

Af: Nail H Ibragimov, Ranis N Ibragimov Engelsk Hardback
Tjek vores konkurrenters priser
This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beams, representing exact solutions to the equation of motion of stratified fluid, can be found by solving the given model as invariant solutions of nonlinear equations of motion. On the illustrative basis, it is also shown that the presence of the invariant solutions makes it possible to construct a more general class of disturbances, which represent wave beams propagating in certain direction coinciding with the beam energy.This book is designed for specialists in Geophysical Fluid Dynamics, Ocean and Atmospheric Modeling, as well as for researchers, teachers and students — mathematicians and nonmathematicians — interested in methods of applied group analysis for investigating nonlinear problems in physical, engineering and natural sciences. It can also serve as a textbook on practical applications of symmetries of nonlinear differential equations for graduate students in applied mathematics, physics and engineering.
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This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beams, representing exact solutions to the equation of motion of stratified fluid, can be found by solving the given model as invariant solutions of nonlinear equations of motion. On the illustrative basis, it is also shown that the presence of the invariant solutions makes it possible to construct a more general class of disturbances, which represent wave beams propagating in certain direction coinciding with the beam energy.This book is designed for specialists in Geophysical Fluid Dynamics, Ocean and Atmospheric Modeling, as well as for researchers, teachers and students — mathematicians and nonmathematicians — interested in methods of applied group analysis for investigating nonlinear problems in physical, engineering and natural sciences. It can also serve as a textbook on practical applications of symmetries of nonlinear differential equations for graduate students in applied mathematics, physics and engineering.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 228
ISBN-13: 9789814340465
Indbinding: Hardback
Udgave:
ISBN-10: 9814340464
Kategori: Differentialregning & ligninger
Udg. Dato: 4 aug 2011
Længde: 19mm
Bredde: 158mm
Højde: 242mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 4 aug 2011
Forfatter(e): Nail H Ibragimov, Ranis N Ibragimov
Forfatter(e) Nail H Ibragimov, Ranis N Ibragimov

Kategori Differentialregning & ligninger

ISBN-13 9789814340465

Sprog Engelsk

Indbinding Hardback

Sider 228

Udgave

Længde 19mm

Bredde 158mm

Højde 242mm

Udg. Dato 4 aug 2011

Oplagsdato 4 aug 2011

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge