WorldCat Identities

Toland, John 1949-

Overview
Works: 16 works in 54 publications in 2 languages and 804 library holdings
Roles: Author
Publication Timeline
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Most widely held works by John Toland
Analytic theory of global bifurcation : an introduction by Boris Buffoni( Book )

9 editions published in 2003 in English and held by 435 WorldCat member libraries worldwide

Bernoulli free-boundary problems by E Shargorodsky( Book )

11 editions published between 2008 and 2009 in English and held by 266 WorldCat member libraries worldwide

Establishes an equivalence between Bernoulli free boundary problems and a class of equations for real-valued functions of one real variable. The equivalent equations can be written as nonlinear Riemann-Hilbert problems and the theory of complex Hardy spaces in the unit disc has a central role. A canonical Morse index can be assigned to free boundaries and the Calculus of Variations becomes available as a tool for the study
Introduction à la théorie globale des bifurcations by Boris Buffoni( Book )

5 editions published in 2002 in French and held by 65 WorldCat member libraries worldwide

On periodic water-waves and their convergence to solitary waves in the long-wave limit by C. J Amick( Book )

7 editions published between 1980 and 1981 in English and held by 13 WorldCat member libraries worldwide

A detailed discussion of Nekrasov's approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of (1) to show the global convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasove leads, via the Maximum Principle, to new results about qualitative features of periodic waves, for which there has long been a global existence theory (9, 12). (Author)
Finite-amplitude solitary water waves by C. J Amick( Book )

5 editions published in 1979 in English and Undetermined and held by 7 WorldCat member libraries worldwide

This paper considers the existence problem for solutions of the free boundary value problem which arises from the question of the existence of solitary gravity waves, moving without changes of form, and with constant velocity, on the surface of ideal fluid in a horizontal canal of finite depth. The analysis imposes no restriction on either the slope or the amplitude of the wave, and we prove that there exists a connected set of solitary waves containing waves of all slope between 0 and pi/6. It is then proved that each of these solitary waves has finite mass, and, as a consequence, that F> 1, where F is the Froude number. This, in turn, tells us that the solitary wave decays faster than exp( -alpha abs.val.(x/h), where alpha is an element or (0, alpha-bar) and 1/alpha-bar tam(alph-bar) = f-squared. Finally, it is shown that, in a certain limit, these solitary waves converge to a solitary stokes wave of greatest height, and the validity of stokes' conjecture for solitary waves is considered, but not resolved. (Author)
The convergence of periodic waves to solitary waves in the long wave limit by John Toland( Book )

5 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide

It is shown that large amplitude solitary water-waves arise as the limit of periodic waves whose wavelengths increases indefinitely. This results is obtained after a new version of the Nekrasov integral equation for periodic waves has been derived. Its resemblance to the equation for solitary waves (1) leads to this convergence results once the global existence proof for solitary waves given in (1) has been taken into account. (Author)
The bifurcation and secondary bifurcation of capillary-gravity waves by John Toland( Book )

2 editions published in 1985 in English and held by 2 WorldCat member libraries worldwide

Topological Methods for Nonlinear Eigenvalue Problems by John Toland( Book )

2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide

Mathematics of nonlinear systems( Book )

1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide

Bernuille free-boundary problems by E Shargorodsky( Book )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

A Duality Principle for Non-Convex Optimisation and the Calculus of Variations by John Toland( Book )

1 edition published in 1976 in English and held by 1 WorldCat member library worldwide

On the stability of rotating heavy chains by John Toland( Book )

1 edition published in 1977 in English and held by 1 WorldCat member library worldwide

Global Bifurcation Theory Via Galerkins Method by John Toland( Book )

1 edition published in 1976 in English and held by 1 WorldCat member library worldwide

A global result applicate to non-linear Steklov problems by C. A Stuart( Book )

1 edition published in 1972 in English and held by 1 WorldCat member library worldwide

Asymptotic Linearity and Nonlinear Eigenvalue Problems 11 by John Toland( Book )

1 edition published in 1975 in English and held by 1 WorldCat member library worldwide

Introduction à la théorie globale des bifurcations by Boris Buffoni( )

1 edition published in 2002 in French and held by 0 WorldCat member libraries worldwide

 
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Audience level: 0.60 (from 0.51 for Analytic t ... to 1.00 for Introducti ...)

Analytic theory of global bifurcation : an introduction
Covers
Bernoulli free-boundary problemsBernuille free-boundary problems
Alternative Names
John Francis Toland

John Toland Brits wiskundige

John Toland mathematician

John Toland nordirischer Mathematiker

Toland, J. F.

Toland, J.F. 1949-

Toland, J. F. (John F.), 1949-

Toland, John 1949-...

Toland, John F.

Languages
English (47)

French (6)