Bona, J. L.
Overview
Works:  78 works in 149 publications in 1 language and 854 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Opponent, Other 
Publication Timeline
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Most widely held works about
J. L Bona
Most widely held works by
J. L Bona
Nonlinear PDE's, dynamics, and continuum physics : 1998 AMSIMSSIAM Joint Summer Research Conference on Nonlinear PDE's,
Dynamics, and Continuum Physics, July 1923, 1998, Mount Holyoke College by
Dynamics, and Continuum Physics (1998, Mount Holyoke College) AMSIMSSIAM Joint Summer Research Conference on Nonlinear PDE's(
Book
)
13 editions published between 2000 and 2012 in English and held by 254 WorldCat member libraries worldwide
"This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blowup, wellposedness and regularity, and fractal solutions." "The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics."Jacket
13 editions published between 2000 and 2012 in English and held by 254 WorldCat member libraries worldwide
"This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blowup, wellposedness and regularity, and fractal solutions." "The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics."Jacket
The legacy of the inverse scattering transform in applied mathematics : proceedings of an AMSIMSSIAM joint summer research
conference on the legacy of inverse scattering transform in nonlinear wave propagation June 1721, 2001 Mount Holyoke College,
South Hadley, MA by
AMSIMSSIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation(
Book
)
14 editions published between 2002 and 2012 in English and held by 241 WorldCat member libraries worldwide
"This conference provided a forum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering."Jacket
14 editions published between 2002 and 2012 in English and held by 241 WorldCat member libraries worldwide
"This conference provided a forum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering."Jacket
Dynamical problems in continuum physics(
Book
)
12 editions published in 1987 in English and Undetermined and held by 216 WorldCat member libraries worldwide
12 editions published in 1987 in English and Undetermined and held by 216 WorldCat member libraries worldwide
Solitarywave solutions of nonlinear problems by
T. B Benjamin(
Book
)
2 editions published in 1990 in English and held by 12 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 12 WorldCat member libraries worldwide
An evaluation of a model equation for water waves by
J. L Bona(
Book
)
2 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
Nonlinear dispersive waves and fluids : AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations,
and PDE Analysis on Fluid Flows, January 56, 2017, Atlanta, Georgia by AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations(
Book
)
2 editions published in 2019 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 2019 in English and held by 7 WorldCat member libraries worldwide
The Kortewegde Vries equation posed in a quarterplane by
Jerry L Bona(
Book
)
5 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
An initial and boundaryvalue problem for the Kortewegde Vries equation is shown to be wellposed. The considered problem may serve as a model for unidirectional propagation of plane waves generated by a wavemaker in a uniform medium. Such models apply in regimes in which nonlinear and dispersive effects are of comparable small order. (Author)
5 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
An initial and boundaryvalue problem for the Kortewegde Vries equation is shown to be wellposed. The considered problem may serve as a model for unidirectional propagation of plane waves generated by a wavemaker in a uniform medium. Such models apply in regimes in which nonlinear and dispersive effects are of comparable small order. (Author)
On the role of computation in economic theory by
Jerry L Bona(
Book
)
5 editions published between 1994 and 1996 in English and held by 6 WorldCat member libraries worldwide
5 editions published between 1994 and 1996 in English and held by 6 WorldCat member libraries worldwide
Numerical schemes for a model for nonlinear dispersive waves by
J. L Bona(
Book
)
4 editions published in 1983 in English and Undetermined and held by 5 WorldCat member libraries worldwide
A description is given of a number of numerical schemes to solve an evolution equation (KortewegdeVries) that arises when modelling the propagation of water waves in a channel. The discussion also includes the results of numerical experiments made with each of the schemes. It is suggested, on the basis of these experiments, that one of the schemes may have (discrete) solitarywave solutions. (Author)
4 editions published in 1983 in English and Undetermined and held by 5 WorldCat member libraries worldwide
A description is given of a number of numerical schemes to solve an evolution equation (KortewegdeVries) that arises when modelling the propagation of water waves in a channel. The discussion also includes the results of numerical experiments made with each of the schemes. It is suggested, on the basis of these experiments, that one of the schemes may have (discrete) solitarywave solutions. (Author)
A comparison of solutions of two model equations for long waves by
Jerry L Bona(
Book
)
4 editions published in 1983 in English and Undetermined and held by 5 WorldCat member libraries worldwide
This paper is concerned with mathematical models representing the unidirectional propagation of weakly nonlinear dispersive waves. Interest will be directed toward two particular models that are originally studied in the context of surfacewave phenomena in openchannel flows. The purpose of the present paper is to make a quantitative comparison between the solutions to the initialvalue problem for each of these models. The basic conclusion of the study is that, on a long time scale T naturally related to the underlying physical situation, the equations predict the same outcome to within their implied order of accuracy. In this case the choice of one of these models over the other to describe a physical problem is apparently immaterial, with factors of incidental convenience probably providing the main criteria in a given situation. (Author)
4 editions published in 1983 in English and Undetermined and held by 5 WorldCat member libraries worldwide
This paper is concerned with mathematical models representing the unidirectional propagation of weakly nonlinear dispersive waves. Interest will be directed toward two particular models that are originally studied in the context of surfacewave phenomena in openchannel flows. The purpose of the present paper is to make a quantitative comparison between the solutions to the initialvalue problem for each of these models. The basic conclusion of the study is that, on a long time scale T naturally related to the underlying physical situation, the equations predict the same outcome to within their implied order of accuracy. In this case the choice of one of these models over the other to describe a physical problem is apparently immaterial, with factors of incidental convenience probably providing the main criteria in a given situation. (Author)
Finite  amplitude steady waves in stratified fluids by
Jerry L Bona(
Book
)
4 editions published in 1982 in English and Undetermined and held by 5 WorldCat member libraries worldwide
An exact theory regarding solitary internal gravity waves in stratified fluids is presented. Twodimensional, inviscid, incompressible flows confined between plane horizontal rigid boundaries are considered. Variational techniques are used to demonstrate that the Euler equations possess solutions that represent progressing waves of permanent form. These are analogous to the surface, solitary waves so easily generated in a flume. Periodic wave trains of permanent form, the analogue of the classical cnoidal waves, are also found. Moreover, internal solitarywave solutions are shown to arise as the limit of cnoidal wave trains as the period length grows unboundedly. (Author)
4 editions published in 1982 in English and Undetermined and held by 5 WorldCat member libraries worldwide
An exact theory regarding solitary internal gravity waves in stratified fluids is presented. Twodimensional, inviscid, incompressible flows confined between plane horizontal rigid boundaries are considered. Variational techniques are used to demonstrate that the Euler equations possess solutions that represent progressing waves of permanent form. These are analogous to the surface, solitary waves so easily generated in a flume. Periodic wave trains of permanent form, the analogue of the classical cnoidal waves, are also found. Moreover, internal solitarywave solutions are shown to arise as the limit of cnoidal wave trains as the period length grows unboundedly. (Author)
Convergence of Periodic Wavetrains in the Limit of Large Wavelength by
J. L Bona(
Book
)
3 editions published in 1981 in English and Undetermined and held by 5 WorldCat member libraries worldwide
The kortewegde Vries equation was originally derived as a model for unidirectional propagation of water waves. This equation possesses a special class of travelingwave solutions corresponding to surface solitary waves. It also has permanentwave solutions which are periodic in space, the socalled cnoidal waves. A classical observation of Korteweg and de Vries was that the solitary wave is obtained as a certain limit of cnoidal wavetrains. This results is extended here, in the context of the Kortewegde Vries equation. It is demonstrated that a general class of solutions of the Kortewegde Vries equation is obtained as limiting forms of periodic solutions, as the period becomes large. (Author)
3 editions published in 1981 in English and Undetermined and held by 5 WorldCat member libraries worldwide
The kortewegde Vries equation was originally derived as a model for unidirectional propagation of water waves. This equation possesses a special class of travelingwave solutions corresponding to surface solitary waves. It also has permanentwave solutions which are periodic in space, the socalled cnoidal waves. A classical observation of Korteweg and de Vries was that the solitary wave is obtained as a certain limit of cnoidal wavetrains. This results is extended here, in the context of the Kortewegde Vries equation. It is demonstrated that a general class of solutions of the Kortewegde Vries equation is obtained as limiting forms of periodic solutions, as the period becomes large. (Author)
Positive operator theory in frechet spaces, with applications to problems arising in hydrodynamics by
J. L Bona(
Book
)
2 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
On the structure of the equilibrium price set of overlappinggenerations economies by
Manuel Santos Santos(
Book
)
4 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
Fifth Workshop on Nonlinear Differential Equation : Campinas, June 0711, 2004, Universidade Estadual de Campinas by Workshop on Nonlinear Differential Equations(
Book
)
2 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Dispersive blowup for generalized Kortewegde Vries equations by
J Bona(
Book
)
2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
Model equations for waves in stratified fluids by J. P Albert(
Book
)
2 editions published between 1994 and 1996 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1994 and 1996 in English and held by 3 WorldCat member libraries worldwide
Probability theory in function spaces by
J. L Bona(
Book
)
2 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
Model equations for long waves in nonlinear dispersive systems by
T. B Benjamin(
Book
)
1 edition published in 1972 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1972 in English and held by 3 WorldCat member libraries worldwide
Decay and analyticity of solitary waves by
J. L Bona(
Book
)
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Saxton, Ralph 1955 Other Editor
 Saxton, Katarzyna 1949 Other Editor
 Choudhury, Roy 1956 Editor
 Kaup, David 1939 Editor
 University of Minnesota Institute for Mathematics and Its Applications
 Pritchard, W. G.
 Scott, L. R.
 Bose, D. K.
 Benjamin, T. B. (Thomas Brooke) 1929 Author
 American Mathematical Society
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Associated Subjects
Administrative agencies Awards Boundary value problems Canada College administrators College teachers Continuum mechanics Differential equations, Nonlinear Differential equations, Partial Dynamics EconomicsSimulation methods Educational assistance Field theory (Physics) Fréchet spaces Inverse scattering transform Lecturers Nonlinear theories Nonlinear wave equations Nonlinear waves Operator theory Research Scientists United States Universities and collegesFaculty Water waves Wave equation WavesMathematical models
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Alternative Names
Bona, J.
Bona, J. L.
Bona, J.L. 1945
Bona, Jerry.
Bona, Jerry 1945
Bona, Jerry Lloyd 1945
Jerry Bona
Jerry L. Bona American mathematician
Jerry L. Bona Amerikaans wiskundige
Jerry L. Bona matemàtic estatunidenc
Jerry L. Bona matemático
Jerry L. Bona matematico statunitense
Jerry L. Bona mathématicien américain
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