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1

A Non-Homogeneous Boundary-Value Problem for the Korteweg-de Vries Equation in a Quarter Plane

Jerry L. Bona, S. M. Sun and Bing-Yu Zhang

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 4.36 MB

english, 2002

2

Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces

Bona, Jerry, Scott, Ridgway

Journal:

Duke Mathematical Journal

Year:

1976

Language:

english

File:

PDF, 924 KB

english, 1976

3

The Cauchy Problem and Stability of Solitary-Wave Solutions for RLW–KP-Type Equations

Jerry L. Bona, Yue Liu, Michael M. Tom

Journal:

Journal of Differential Equations

Year:

2002

Language:

english

File:

PDF, 351 KB

english, 2002

4

On the structure of the equilibrium price set of overlapping-generations economies

Manuel S. Santos, Jerry L. Bona

Journal:

Journal of Mathematical Economics

Year:

1989

Language:

english

File:

PDF, 1.34 MB

english, 1989

5

Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation

Jerry L. Bona, Zoran Grujić, Henrik Kalisch

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2005

Language:

english

File:

PDF, 183 KB

english, 2005

6

A non-homogeneous boundary-value problem for the Korteweg–de Vries equation posed on a finite domain II

Jerry L. Bona, Shu Ming Sun, Bing-Yu Zhang

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 394 KB

english, 2009

7

Comparison of model equations for small-amplitude long waves

Jerry L. Bona, Hongqiu Chen

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1999

Language:

english

File:

PDF, 166 KB

english, 1999

8

Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation

Jerry L. Bona, Robert L. Sachs

Journal:

Communications in Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 1017 KB

english, 1988

9

Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation

Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian, William R. McKinney

Journal:

Applied Numerical Mathematics

Year:

1992

Language:

english

File:

PDF, 2.14 MB

english, 1992

10

Solitary-Wave Solutions of the Benjamin Equation

Bona, Jerry L., Albert, John P., Restrepo, Juan Mario

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 493 KB

english, 1999

11

Solitary-Wave Solutions of the Benjamin Equation

John P. Albert, Jerry L. Bona and Juan Mario Restrepo

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 580 KB

english, 1999

12

SPATIAL ANALYTICITY PROPERTIES OF NONLINEAR WAVES

BONA, JERRY L., GRUJIĆ, ZORAN

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2003

Language:

english

File:

PDF, 223 KB

english, 2003

13

A model for the two-way propagation of water waves in a channel

Bona, Jerry L., Smith, Ronald

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1976

Language:

english

File:

PDF, 1.01 MB

english, 1976

14

Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations

Bona, Jerry L., Sun, Shu-Ming, Zhang, Bing-Yu

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2018

File:

PDF, 914 KB

2018

15

Discretization of a Model for the Formation of Longshore Sand Ridges

Juan Mario Restrepo, Jerry L. Bona

Journal:

Journal of Computational Physics

Year:

1995

File:

PDF, 616 KB

1995

16

An initial- and boundary-value problem for a model equation for propagation of long waves

Jerry L Bona, Vassilios A Dougalis

Journal:

Journal of Mathematical Analysis and Applications

Year:

1980

Language:

english

File:

PDF, 934 KB

english, 1980

17

On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations

Jerry Bona, Keith Promislow, Gene Wayne

Journal:

Mathematics and Computers in Simulation

Year:

1994

Language:

english

File:

PDF, 767 KB

english, 1994

18

Fully discrete galerkin methods for the korteweg-de vries equation

Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian

Journal:

Computers & Mathematics with Applications

Year:

1986

Language:

english

File:

PDF, 1.59 MB

english, 1986

19

Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane

Jerry L. Bona, S.M. Sun, Bing-Yu Zhang

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2008

Language:

english

File:

PDF, 373 KB

english, 2008

20

Extended equilibrium beach profiles

Wojciech Romańczyk, Barbara Boczar-Karakiewicz, Jerry L. Bona

Journal:

Coastal Engineering

Year:

2005

Language:

english

File:

PDF, 1.24 MB

english, 2005

21

Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip

Jerry L. Bona, Zoran Grujić, Henrik Kalisch

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 190 KB

english, 2006

22

Decay and analyticity of solitary waves

Jerry L. Bona, Yi A. Li

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

1997

Language:

english

File:

PDF, 2.90 MB

english, 1997

23

Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation

Jerry L. Bona, Laihan Luo

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 184 KB

english, 2001

24

A Boussinesq system for two-way propagation of nonlinear dispersive waves

Jerry L. Bona, Min Chen

Journal:

Physica D: Nonlinear Phenomena

Year:

1998

Language:

english

File:

PDF, 1.73 MB

english, 1998

25

Convergence of periodic wavetrains in the limit of large wavelength

Journal:

Flow, Turbulence and Combustion

Year:

1981

Language:

english

File:

PDF, 458 KB

english, 1981

26

A model system for strong interaction between internal solitary waves

Jerry L. Bona, Gustavo Ponce, Jean-Claude Saut, Michael M. Tom

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 1.23 MB

english, 1992

27

Long Wave Approximations for Water Waves

Jerry L. Bona, Thierry Colin, David Lannes

Journal:

Archive for Rational Mechanics and Analysis

Year:

2005

Language:

english

File:

PDF, 315 KB

english, 2005

28

Dispersive blow-up II. Schrödinger-type equations, optical and oceanic rogue waves

Jerry L. Bona, Jean-Claude Saut

Journal:

Chinese Annals of Mathematics, Series B

Year:

2010

Language:

english

File:

PDF, 339 KB

english, 2010

29

Foreword

Thiab Taha, Jerry Bona, Anne de Bouard

Journal:

Mathematics and Computers in Simulation

Year:

2001

Language:

english

File:

PDF, 19 KB

english, 2001

30

The Zero-Viscosity Limit of the 2D Navier–Stokes Equations

Jerry L. Bona, Jiahong Wu

Journal:

Studies in Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 106 KB

english, 2002

31

On the Role of Computation in Economic Theory

Jerry L. Bona, Manuel S. Santos

Journal:

Journal of Economic Theory

Year:

1997

Language:

english

File:

PDF, 2.71 MB

english, 1997

32

Stabilizing Monetary-Injection Policies

Jerry L. Bona, Jenny X. Li

Journal:

Journal of Economic Theory

Year:

2001

Language:

english

File:

PDF, 234 KB

english, 2001

33

Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

Li, Yi A., Bona, Jerry L.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1996

Language:

english

File:

PDF, 1.15 MB

english, 1996

34

Preface

Jerry L. Bona, Lokenath Debnath, Henrik Kalisch, Alexander Vasil’ev

Journal:

Analysis and Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 173 KB

english, 2012

35

Mathematical Model of the Drosophila Circadian Clock: Loop Regulation and Transcriptional Integration

Fathallah-Shaykh, Hassan M., Bona, Jerry L., Kadener, Sebastian

Journal:

Biophysical Journal

Year:

2009

Language:

english

File:

PDF, 1.39 MB

english, 2009

36

Preface

Bona, Jerry, Colin, Mathieu, Colin, T., Lannes, David

Journal:

Discrete and Continuous Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 35 KB

english, 2008

37

Sharp well-posedness results for the BBM equation

Tzvetkov, Nikolay, Bona, Jerry

Journal:

Discrete and Continuous Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 202 KB

english, 2008

38

A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain

Bona, Jerry L., Sun, Shu Ming, Zhang, Bing-Yu

Journal:

Communications in Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 563 KB

english, 2003

39

More results on the decay of solutions to nonlinear, dispersive wave equations

Luo, Laihan, Bona, Jerry

Journal:

Discrete and Continuous Dynamical Systems

Year:

1995

Language:

english

File:

PDF, 353 KB

english, 1995

40

Solitary-wave interaction

Bona, Jerry L., Pritchard, W. G., Scott, L. Ridgway

Journal:

Physics of Fluids

Year:

1980

Language:

english

File:

PDF, 541 KB

english, 1980

41

The Korteweg–de Vries Equation, Posed in a Quarter-Plane

Bona, Jerry, Winther, Ragnar

Journal:

SIAM Journal on Mathematical Analysis

Year:

1983

Language:

english

File:

PDF, 4.61 MB

english, 1983

42

Hopf bifurcation for two-dimensional doubly diffusive convection

Bona, Jerry L., Hsia, Chun-Hsiung, Ma, Tian, Wang, Shouhong

Journal:

Applicable Analysis

Year:

2011

Language:

english

File:

PDF, 286 KB

english, 2011

43

Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane

Bona, Jerry L., Sun, S. M., Zhang, Bing-Yu

Journal:

Communications in Contemporary Mathematics

Year:

2003

Language:

english

File:

PDF, 442 KB

english, 2003

44

Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities

Bona, Jerry L., Cohen, Jonathan, Wang, Gang

Journal:

Nagoya Mathematical Journal

Year:

2014

Language:

english

File:

PDF, 759 KB

english, 2014

45

Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV

Bona, Jerry L, Weissler, Fred B

Journal:

Year:

2009

Language:

english

File:

PDF, 645 KB

english, 2009

46

Microarray Data Analysis: Current Practices and Future Directions

Vaince, Faaiza, Bona, Jerry, Fathallah-Shaykh, Hassan

Journal:

Current Pharmacogenomics

Year:

2006

Language:

english

File:

PDF, 198 KB

english, 2006

47

The initial-value problem for the forced Korteweg-de Vries equation

Bona, Jerry L., Zhang, Bing-Yu

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1996

Language:

english

File:

PDF, 1.23 MB

english, 1996

48

Stability of Solitary-Wave Solutions of Systems of Dispersive Equations

Bona, Jerry L., Chen, Hongqiu, Karakashian, Ohannes

Journal:

Applied Mathematics & Optimization

Year:

2017

Language:

english

File:

PDF, 596 KB

english, 2017

49

The existence of internal solitary waves in a two-fluid system near the KdV limit

Bona, Jerry L., Sachs, Robert L.

Journal:

Geophysical & Astrophysical Fluid Dynamics

Year:

1989

Language:

english

File:

PDF, 1.26 MB

english, 1989

50

Norm-inflation results for the BBM equation

Bona, Jerry, Dai, Mimi

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 270 KB

english, 2017

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