Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
Title | Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics PDF eBook |
Author | John P. Boyd |
Publisher | Springer |
Pages | 596 |
Release | 2012-10-08 |
Genre | Mathematics |
ISBN | 9781461376705 |
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
Title | Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics PDF eBook |
Author | John P. Boyd |
Publisher | Springer Science & Business Media |
Pages | 609 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461558255 |
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances
Title | Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances PDF eBook |
Author | Herbert Steinrück |
Publisher | Springer Science & Business Media |
Pages | 426 |
Release | 2012-01-29 |
Genre | Technology & Engineering |
ISBN | 3709104084 |
A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.
Dynamics of the Equatorial Ocean
Title | Dynamics of the Equatorial Ocean PDF eBook |
Author | John P. Boyd |
Publisher | Springer |
Pages | 529 |
Release | 2017-09-25 |
Genre | Science |
ISBN | 3662554763 |
This book is the first comprehensive introduction to the theory of equatorially-confined waves and currents in the ocean. Among the topics treated are inertial and shear instabilities, wave generation by coastal reflection, semiannual and annual cycles in the tropic sea, transient equatorial waves, vertically-propagating beams, equatorial Ekman layers, the Yoshida jet model, generation of coastal Kelvin waves from equatorial waves by reflection, Rossby solitary waves, and Kelvin frontogenesis. A series of appendices on midlatitude theories for waves, jets and wave reflections add further material to assist the reader in understanding the differences between the same phenomenon in the equatorial zone versus higher latitudes.
Asymptotics beyond All Orders
Title | Asymptotics beyond All Orders PDF eBook |
Author | Harvey Segur |
Publisher | Springer Science & Business Media |
Pages | 388 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 1475704356 |
An asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit. The formal definition, given by Poincare (1886, Acta Math. 8:295), is as follows. Given a function,
Chebyshev and Fourier Spectral Methods
Title | Chebyshev and Fourier Spectral Methods PDF eBook |
Author | John P. Boyd |
Publisher | Courier Corporation |
Pages | 690 |
Release | 2013-06-05 |
Genre | Mathematics |
ISBN | 0486141926 |
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Nonlinear Systems, Vol. 1
Title | Nonlinear Systems, Vol. 1 PDF eBook |
Author | Victoriano Carmona |
Publisher | Springer |
Pages | 428 |
Release | 2018-09-15 |
Genre | Science |
ISBN | 3319667661 |
This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.