Jerry L. Bona
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American mathematician
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Jerry L. Bonamathematics Degrees
Mathematics
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#4833
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Measure Theory
#1602
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#1981
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#531
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Mathematics
Jerry L. Bona's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics California Institute of Technology
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Why Is Jerry L. Bona Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jerry Lloyd Bona is an American mathematician, known for his work in fluid mechanics, partial differential equations, and computational mathematics, and active in some other branches of pure and applied mathematics.
Jerry L. Bona's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Model equations for long waves in nonlinear dispersive systems (1972) (1860)
- Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory (2002) (473)
- Stability and instability of solitary waves of Korteweg-de Vries type (1987) (388)
- Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media (2004) (387)
- On the stability theory of solitary waves (1975) (323)
- Long Wave Approximations for Water Waves (2005) (278)
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation (1988) (277)
- Nonlocal models for nonlinear, dispersive waves (1990) (263)
- An evaluation of a model equation for water waves (1981) (239)
- Decay of solutions of some nonlinear wave equations (1989) (222)
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain (2003) (176)
- Solitary‐wave interaction (1980) (170)
- A Boussinesq system for two-way propagation of nonlinear dispersive waves (1998) (161)
- Travelling-wave solutions to the Korteweg-de Vries-Burgers equation (1985) (153)
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane (2001) (149)
- Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation (1995) (145)
- Asymptotic Models for Internal Waves (2007) (137)
- Solutions of the Korteweg-de Vries equation in frac-tional order Sobolev space (1976) (136)
- A non-homogeneous boundary-value problem for the Korteweg–de Vries equation posed on a finite domain II (2003) (134)
- Sufficient conditions for stability of solitary-wave solutions of model equations for long waves (1987) (133)
- A model for the two-way propagation of water waves in a channel (1976) (132)
- Sharp well-posedness results for the BBM equation (2008) (131)
- Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation (2013) (120)
- The Korteweg–de Vries Equation, Posed in a Quarter-Plane (1983) (118)
- A mathematical model for long waves generated by wavemakers in non-linear dispersive systems (1973) (114)
- Decay and analyticity of solitary waves (1997) (109)
- An initial- and boundary-value problem for a model equation for propagation of long waves (1980) (89)
- On the Korteweg-de Vries-Kuramoto-Sivashinsky equation (1996) (89)
- Dispersive Blowup of Solutions of Generalized Korteweg-de Vries Equations (1993) (87)
- A Comparison of Solutions of Two Model Equations for Long Waves. (1983) (87)
- Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation (2005) (87)
- Numerical schemes for a model for nonlinear dispersive waves (1985) (81)
- Models for internal waves in deep water (1999) (80)
- Stability of cnoidal waves (2006) (79)
- Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth (1991) (75)
- Model equations for waves in stratified fluids (1997) (75)
- Decay of solutions to nonlinear, dispersive wave equations (1993) (73)
- A model system for strong interaction between internal solitary waves (1992) (73)
- Solitary-wave solutions of nonlinear problems (1990) (71)
- Solitary-Wave Solutions of the Benjamin Equation (1999) (70)
- Nonhomogeneous Boundary-Value Problems for One-Dimensional Nonlinear Schr\"odinger Equations (2015) (69)
- Fully discrete galerkin methods for the korteweg-de vries equation☆ (1986) (66)
- Comparisons between the BBM equation and a Boussinesq system (2006) (65)
- On the stability of solitary-wave solutions of model equations for long waves (1994) (64)
- Stable and Unstable Solitary-Wave Solutions of the Generalized Regularized Long-Wave Equation (2000) (63)
- Numerical solution of KdV-KdV systems of Boussinesq equations: I. The numerical scheme and generalized solitary waves (2007) (61)
- Finite-amplitude steady waves in stratified fluids (1982) (59)
- The stability of internal solitary waves (1983) (59)
- Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane (2008) (58)
- Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications (2006) (57)
- Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane (2003) (54)
- Dispersive blow-up for nonlinear Schrödinger equations revisited (2013) (50)
- Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip (2006) (46)
- NONLINEAR DISPERSIVE WAVES ON TREES (2009) (46)
- Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations (1998) (45)
- The Korteweg-de Vries equation in a quarter plane, continuous dependence results (1989) (44)
- Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations (2008) (44)
- The Zero‐Viscosity Limit of the 2D Navier–Stokes Equations (2002) (43)
- Comparisons between model equations for long waves (1991) (42)
- Analyticity of solitary-wave solutions of model equations for long waves (1996) (41)
- Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves (2008) (39)
- Extended equilibrium beach profiles (2005) (38)
- SPATIAL ANALYTICITY PROPERTIES OF NONLINEAR WAVES (2003) (38)
- A mathematical theory for viscous, free-surface flows over a perturbed plane (1992) (37)
- Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case (2002) (37)
- Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations (1995) (37)
- Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation (1992) (35)
- SINGULARITY FORMATION IN THE GENERALIZED BENJAMIN-ONO EQUATION (2004) (34)
- Mathematical model of the Drosophila circadian clock: loop regulation and transcriptional integration. (2009) (33)
- Solitary waves in nonlinear dispersive systems (2002) (32)
- Models for propagation of bores. I. Two-dimensional theory (1994) (31)
- Dispersive blow-up II. Schrödinger-type equations, optical and oceanic rogue waves (2010) (31)
- Conditional and unconditional well-posedness for nonlinear evolution equations (2004) (30)
- Interaction of Shallow-Water Waves and Bottom Topography (1986) (30)
- The Cauchy Problem and Stability of Solitary-Wave Solutions for RLW–KP-Type Equations (2002) (30)
- WELL-POSEDNESS OF A MODEL FOR WATER WAVES WITH VISCOSITY (2012) (29)
- Wave-Dominated Shelves: A Model of Sand-Ridge Formation by Progressive, Infragravity Waves (1986) (28)
- The existence of internal solitary waves in a two-fluid system near the KdV limit (1989) (27)
- On ill-posedness of truncated series models for water waves (2014) (27)
- A KdV-type Boussinesq system: From the energy level to analytic spaces (2009) (27)
- Interaction of internal waves with the seabed on continental shelves (1991) (27)
- Similarity solutions of the generalized Korteweg–de Vries equation (1999) (26)
- The effect of dissipation on solutions of the generalized Korteweg-de Vries equation (1996) (26)
- The initial-value problem for the forced Korteweg-de Vries equation (1996) (23)
- Nonlinear PDE’s, Dynamics and Continuum Physics (2000) (23)
- Higher-Order Hamiltonian Model for Unidirectional Water Waves (2015) (23)
- Stability and decay properties of solitary-wave solutions to the generalized BO--ZK equation (2009) (22)
- Comparison of quarter-plane and two-point boundary value problems: the BBM-equation (2005) (22)
- Model Equations for Waves in Nonlinear Dispersive Systems (2010) (22)
- Convergence of periodic wavetrains in the limit of large wavelength (1981) (22)
- On the Role of Computation in Economic Theory (1997) (22)
- On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations (1994) (21)
- Comparison of model equations for small-amplitude long waves (1999) (21)
- Periodic traveling--wave solutions of nonlinear dispersive evolution equations (2013) (19)
- Fourier splitting and dissipation of nonlinear dispersive waves (1999) (19)
- Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation (2001) (18)
- Well-posedness for regularized nonlinear dispersive wave equations (2008) (17)
- Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV (2009) (17)
- TEMPORAL GROWTH AND EVENTUAL PERIODICITY FOR DISPERSIVE WAVE EQUATIONS IN A QUARTER PLANE (2008) (16)
- Global solutions and ill-posedness for the Kaup system and related Boussinesq systems (2019) (16)
- On the structure of the equilibrium price set of overlapping-generations economies (1989) (15)
- Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations (2001) (15)
- Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities (2014) (15)
- Stablity of solitary waves in higher order Sobolev spaces (2004) (14)
- Model for the formation of longshore sand ridges on the continental shelf (1994) (13)
- Three-dimensional model for the formation of longshore sand structures on the continental shelf (1995) (12)
- Stability of Solitary-Wave Solutions of Systems of Dispersive Equations (2017) (12)
- Propagation of long-crested water waves (2012) (12)
- Solitary-wave solutions for some model equations for waves in nonlinear dispersive media (1976) (11)
- Comparison of quarter-plane and two-point boundary value problems: The KdV-equation (2007) (11)
- Norm-inflation results for the BBM equation (2015) (10)
- Discretization of a Model for the Formation of Longshore Sand Ridges (1994) (9)
- Methods of Applied Mathematics (2008) (9)
- Solitary waves and other phenomena associated with model equations for long waves (1980) (9)
- Zero-Dissipation Limit for Nonlinear Waves (2000) (8)
- Singular Solutions of a Boussinesq System for Water Waves (2016) (8)
- Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation (2002) (7)
- Singularity formation and blowup of complex-valued solutions of the modified KdV equation (2012) (7)
- Hopf bifurcation for two-dimensional doubly diffusive convection (2011) (7)
- Propagation of long-crested water waves. Ⅱ. Bore propagation (2019) (6)
- Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation (2010) (6)
- Singularités dispersives de solutions d'équations de type Korteweg-de-Vries (1986) (6)
- APPROXIMATING INITIAL-VALUE PROBLEMS WITH TWO-POINT BOUNDARY-VALUE PROBLEMS: BBM-EQUATION (2010) (6)
- STATISTICALLY WELL-SET CAUCHY PROBLEMS (1973) (5)
- HIGHER-ORDER BOUSSINESQ SYSTEMS FOR TWO-WAY PROPAGATIONS OF WATER WAVES (5)
- On the stability of KdV multi-solitons (2007) (5)
- Dynamical Problems in Continuum Physics (1987) (5)
- The legacy of the inverse scattering transform in applied mathematics : proceedings of an AMS-IMS-SIAM joint summer research conference on the legacy of inverse scattering transform in nonlinear wave propagation, June 17-21, 2001 Mount Holyoke College, South Hadley, MA (2002) (5)
- Finite Element Methods for a System of Dispersive Equations (2018) (4)
- Model for the formation of longshore sand ridges on the Continental Shelf: The interaction of internal waves and the bottom topography (1994) (4)
- Fixed-point theorems for Fréchet spaces (1972) (3)
- WAVE GROUPS IN A BARRED NEARSHORE (1997) (3)
- Sand Bars at Duck, North Carolina, U.S.A.: Observations and Model Predictions (1999) (3)
- Numerical solution of coupled KdV systems of Boussinesq equations: I. The numerical scheme and existence of generalized solitary waves (2005) (3)
- On the comparison of solutions of model equations for long waves (1995) (2)
- Microarray Data Analysis: Current Practices and Future Directions (2006) (2)
- Sand Ridges and Internal Waves on Continental Shelves (1991) (2)
- Continuous evolution of functions and measures toward fixed points of contraction mappings (2005) (2)
- Structure and behavior of triad interactions for a Boussinesq system arising in a model for the formation sand ridges (1993) (2)
- Well-posedness for the BBM-equation in a quarter plane (2014) (2)
- The KdV Equation on the Half-Line: Time-Periodicity and Mass Transport (2019) (2)
- Modeling the Dynamics of a Bar System at Duck, NC, USA (1999) (2)
- Stabilizing Monetary-Injection Policies (2001) (2)
- Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I. approximations (2020) (1)
- Numerical Study of the Second-Order Correct Hamiltonian Model for Unidirectional Water Waves (2019) (1)
- Numerical Solution of coupled-KdV systems of Boussinesq equations : II . Generation , interactions and stability of generalized solitary waves (2005) (1)
- Stability of solitary-wave solutions to the Hirota-Satsumaequation (2010) (1)
- Modelling of Sand Bars in Coastal Environments (1989) (1)
- Dynamics of Sand Bars in Coastal Zones (1996) (1)
- Solitary-wave interaction. [model equation solutions for long waves in dispersive media] (1980) (1)
- Nonlinear PDE's, dynamics and continuum physics : 1998 AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics and Continuum Physics, July 19-23, 1998, Mount Holyoke College (2000) (1)
- Sand Bar Dynamics and Offshore Beach Nourishment (1998) (1)
- Local and global well-posedness results for generalized BBM-type equations (2019) (1)
- Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane (2016) (0)
- Ill-posedness for the BBM equation in $H^s$ with $s<0$ (2015) (0)
- Numerical Study of the Generalized Korteweg–de Vries Equations with Oscillating Nonlinearities and Boundary Conditions (2022) (0)
- Higher-Order Hamiltonian Model for Unidirectional Water Waves (2017) (0)
- water waves On ill-posedness of truncated series models for (2014) (0)
- Review: M. Braun, Differential equations and their applications (1978) (0)
- The Hirota-Satsuma Equation. A model for surface water waves. (2011) (0)
- AMS-MAA-MER Special Session on Mathematics and Education Reform, I (2005) (0)
- Opening note: third workshop on nonlinear dispersive equations, IMECC-UNICAMP, 2017 (2019) (0)
- Model for the Formation and Evolution of Sand Ridges on the Continental Shelf (1992) (0)
- The Local Cauchy Problem for a Class of Nonlinear Dispersive Equations (2016) (0)
- Felix Browder (1927-2016) (2018) (0)
- Traveling fronts of a conservation law with hyper-dissipation (2011) (0)
- Nonlinear Dispersive Waves and Fluids (2019) (0)
- Asymptotic behaviors of internal waves (2008) (0)
- Name and Surname University City/State Country Position (2015) (0)
- Numerical Study of the Second-Order Correct Hamiltonian Model for Unidirectional Water Waves (2019) (0)
- STUDIES IN RECURRENCE IN NONLINEAR DISPERSIVE WAVE EQUATIONS (2009) (0)
- Approximation by Cubic Splines Leads to Highly Specific Discovery by Microarrays (2008) (0)
- Finite Element Methods for a System of Dispersive Equations (2018) (0)
- Blowup and ILL-Posedness for the Complex, Periodic KDV Equation (2022) (0)
- Preface: special issue on asymptotic description of natural phenomena (2009) (0)
- EXPANDED EQUILIBRIUM BEACH PROFILES (2003) (0)
- Stability of Solitary-Wave Solutions of Systems of Dispersive Equations (2015) (0)
- Numerical Study of the Generalized Korteweg–de Vries Equations with Oscillating Nonlinearities and Boundary Conditions (2022) (0)
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