Jerry L. Bona

Personal Home Page

http://www.math.uic.edu/~bona/research.htm

Articles in Scholarly Journals [Incomplete List]

  1. Asymptotic models for internal waves
    Journal de Mathématiques Pures et Appliqués, vol. 89, no. 6, pp. 538–566, 2008
  2. Numerical solution of KdV–KdV systems of Boussinesq equationsI. The numerical scheme and generalized solitary waves
    Mathematics and Computers in Simulation, vol. 74, no. 2-3, pp. 214–228, 2007
  3. Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
    Journal of Differential Equations, vol. 229, no. 1, pp. 186–203, 2006
  4. Microarray Data Analysis: Current Practices and Future Directions
    Current Pharmacogenomics, vol. 4, no. 3, pp. 209–218, 2006
  5. Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 22, no. 6, pp. 783–797, 2005
  6. Long Wave Approximations for Water Waves
    Archive for Rational Mechanics and Analysis, vol. 178, no. 3, pp. 373–410, 2005
  7. Extended equilibrium beach profiles
    Coastal Engineering, vol. 52, no. 9, pp. 727–744, 2005
  8. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
    Nonlinearity, vol. 17, no. 3, pp. 925–952, 2004
  9. Mathematical Models and Methods in Applied Sciences, vol. 13, no. 3, p. 345, 2003
  10. A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
    Communications in Partial Differential Equations, vol. 28, no. 7-8, pp. 1391–1436, 2003
  11. Communications in Contemporary Mathematics, vol. 5, no. 3, p. 369, 2003
  12. The Zero-Viscosity Limit of the 2D Navier-Stokes Equations
    Studies in Applied Mathematics, vol. 109, no. 4, pp. 265–278, 2002
  13. Nonlinearity, vol. 15, no. 3, pp. 759–786, 2002
  14. Transactions of the American Mathematical Society, vol. 354, no. 02, pp. 427–491, 2002
  15. Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory
    Journal of Nonlinear Science, vol. 12, no. 4, pp. 283–318, 2002
  16. The Cauchy Problem and Stability of Solitary-Wave Solutions for RLW–KP-Type Equations,
    Journal of Differential Equations, vol. 185, no. 2, pp. 437–482, 2002
  17. Stabilizing Monetary-Injection Policies
    Journal of Economic Theory, vol. 98, no. 1, pp. 127–157, 2001
  18. Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation
    Physica D: Nonlinear Phenomena, vol. 152-153, no. 1-2, pp. 363–383, 2001
  19. Foreword
    Mathematics and Computers in Simulation, vol. 55, no. 4-6, p. 307, 2001
  20. Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations
    Indiana University Mathematics Journal, vol. 50, no. 2, pp. 0–0, 2001
  21. Zero-Dissipation Limit for Nonlinear Waves
    Mathematical Modelling and Numerical Analysis, vol. 34, no. 2, pp. 275–301, 2000
  22. Similarity solutions of the generalized Korteweg–de Vries equation
    Mathematical Proceedings of the Cambridge Philosophical Society, vol. 127, no. 2, pp. 323–351, 1999
  23. Comparison of model equations for small-amplitude long waves
    Nonlinear Analysis, vol. 38, no. 5, pp. 625–647, 1999
  24. Solitary-Wave Solutions of the Benjamin Equation
    SIAM Journal on Applied Mathematics, vol. 59, no. 6, p. 2139, 1999
  25. A Boussinesq system for two-way propagation of nonlinear dispersive waves
    Physica D: Nonlinear Phenomena, vol. 116, no. 1-2, pp. 191–224, 1998
  26. Model equations for waves in stratified fluids
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 453, no. 1961, pp. 1233–1260, 1997
  27. Decay and analyticity of solitary waves
    Journal de Mathématiques Pures et Appliqués, vol. 76, no. 5, pp. 377–430, 1997
  28. On the Role of Computation in Economic Theory,
    Journal of Economic Theory, vol. 72, no. 2, pp. 241–281, 1997
  29. The effect of dissipation on solutions of the generalized Korteweg—de Vries equation
    Journal of Computational and Applied Mathematics, vol. 74, no. 1-2, pp. 127–154, 1996
  30. SIAM Journal on Mathematical Analysis, vol. 27, no. 3, Article ID 0527039, 1996
  31. Conservative, High-Order Numerical Schemes for the Generalized Korteweg-de Vries Equation
    Philosophical Transactions of the Royal Society: Physical and Engineering Sciences (1990-1995), vol. 351, no. 1695, pp. 107–164, 1995
  32. Discretization of a Model for the Formation of Longshore Sand Ridges
    Journal of Computational Physics, vol. 122, no. 1, pp. 129–142, 1995
  33. Nonlinearity, vol. 8, no. 5, pp. 781–820, 1995
  34. Nonlinearity, vol. 8, no. 6, pp. 1179–1206, 1995
  35. On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations
    Mathematics and Computers in Simulation, vol. 37, no. 4-5, pp. 265–277, 1994
  36. On the stability of solitary-wave solutions of model equations for long waves
    Journal of Nonlinear Science, vol. 4, no. 1, pp. 449–470, 1994
  37. Dispersive Blowup of Solutions of Generalized Korteweg-de Vries Equations
    Journal of Differential Equations, vol. 103, no. 1, pp. 3–57, 1993
  38. Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation
    Applied Numerical Mathematics, vol. 10, no. 3-4, pp. 335–355, 1992
  39. A mathematical theory for viscous, free-surface flows over a perturbed plane
    Archive for Rational Mechanics and Analysis, vol. 118, no. 1, pp. 71–93, 1992
  40. A model system for strong interaction between internal solitary waves
    Communications in Mathematical Physics, vol. 143, no. 2, pp. 287–313, 1992
  41. Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
    IMA Journal of Applied Mathematics, vol. 46, no. 1-2, pp. 1–19, 1991
  42. Interaction of internal waves with the seabed on continental shelves
    Continental Shelf Research, vol. 11, no. 8-10, pp. 1181–1197, 1991
  43. Comparisons between model equations for long waves
    Journal of Nonlinear Science, vol. 1, no. 3, pp. 345–374, 1991
  44. Solitary-Wave Solutions of Nonlinear Problems
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 331, no. 1617, pp. 195–244, 1990
  45. The existence of internal solitary waves in a two-fluid system near the KdV limit
    Geophysical & Astrophysical Fluid Dynamics, vol. 48, no. 1, pp. 25–51, 1989
  46. Decay of solutions of some nonlinear wave equations*1
    Journal of Differential Equations, vol. 81, no. 1, pp. 1–49, 1989
  47. Nonlocal models for nonlinear, dispersive waves
    Physica D: Nonlinear Phenomena, vol. 40, no. 3, pp. 360–392, 1989
  48. On the structure of the equilibrium price set of overlapping-generations economies
    Journal of Mathematical Economics, vol. 18, no. 3, pp. 209–230, 1989
  49. Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
    Communications in Mathematical Physics, vol. 118, no. 1, pp. 15–29, 1988
  50. Sufficient conditions for stability of solitary-wave solutions of model equations for long waves
    Physica D: Nonlinear Phenomena, vol. 24, no. 1-3, pp. 343–366, 1987
  51. Stability and Instability of Solitary Waves of Korteweg-de Vries Type
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 411, no. 1841, pp. 395–412, 1987
  52. SIAM Journal on Mathematical Analysis, vol. 14, no. 6, Article ID 0514085, 1983
  53. An Evaluation of a Model Equation for Water Waves
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 302, no. 1471, pp. 457–510, 1981
  54. Convergence of periodic wavetrains in the limit of large wavelength
    Applied Scientific Research, vol. 37, no. 1-2, pp. 21–30, 1981
  55. An initial- and boundary-value problem for a model equation for propagation of long waves
    Journal of Mathematical Analysis and Applications, vol. 75, no. 2, pp. 503–522, 1980
  56. Solitary-wave interaction
    Physics of Fluids, vol. 23, no. 3, p. 438, 1980
  57. The Initial-Value Problem for the Korteweg-De Vries Equation
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 278, no. 1287, pp. 555–601, 1975
  58. On the Stability Theory of Solitary Waves
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 344, no. 1638, pp. 363–374, 1975
  59. Model Equations for Long Waves in Nonlinear Dispersive Systems
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 272, no. 1220, pp. 47–78, 1972