Jirair K. Kevorkian

Publications

Books and monographs:

• J. Kevorkian, First Order Partial Differential Equations, in Handbook on Applied Mathematics, ed. by C.E. Pearson, Van Nostrand, 1974.

• J. Kevorkian and J.D. Cole, Perturbation Methods in Applied Mathematics, Springer-Verlag, 1981.

• J. Kevorkian, Partial Differential Equations: Analytical Solution Techniques, Wadsworth/Brooks-Cole, 1990, Chapman and Hall 1993.

• J. Kevorkian and J.D. Cole, Multiple Scale and Singular Perturbation Methods, Springer-Verlag, 1996.

Refereed articles:

• J. Kevorkian, ``Uniformly valid asymptotic representation for all times of the motion of a satellite in the vicinity of the smaller body in the restricted three-body problem,'' Astron. J., 67, pp. 204-211, 1962.

• P.A. Lagerstrom and J. Kevorkian, ``Matched conic approximation to the two fixed force-center problem,'' Astron. J., 68, pp. 84-92, 1963.

• P.A. Lagerstrom and J. Kevorkian, ``Earth-to-Moon trajectories in the restricted three-body problem,'' J. Mécanique, 2, pp. 189-218, 1963.

• J. Kevorkian and J. F. Murphy, ``Comment on satellite motion about an oblate planet,'' AIAA J., 1, pp. 1710-1711, 1963.

• P.A. Lagerstrom and J. Kevorkian, ``Earth-to Moon trajectories with minimal energy,'' J. Mécanique, 2, pp. 493-504, 1963.

• P.A. Lagerstrom and J. Kevorkian, ``Nonplanar Earth-to Moon trajectories,'' AIAA J., 4, pp. 149-152, 1966.

• M.C. Eckstein, Y.Y. Shi and J. Kevorkian, ``Satellite motion for arbitrary eccentricity and inclination around the smaller primary in the restricted three-body problem,'' Astron. J., 71, pp. 248-263, 1966.

• M.C. Eckstein, Y.Y. Shi and J. Kevorkian, ``Use of the energy integral to evaluate higher-order terms in the time-history of satellite motion,'' Astron. J., 71, pp. 301-305, 1966.

• J. Kevorkian, ``The von Zeipel method and the two-variable expansion procedure,'' Astron. J., 71, pp. 878-885, 1966.

• L. Mohn and J. Kevorkian, ``Some limiting cases of the restricted four-body problem,'' Astron. J., 72, pp. 959-963, 1967.

• J.E. Lancaster and J. Kevorkian, ``Nonplanar Moon-to-Earth trajectories,'' AIAA J., 6, pp. 1986-1991, 1968.

• J. Kevorkian and J.E. Lancaster, ``An asymptotic solution for a class of periodic orbits of the restricted three-body problem,'' Astron. J., 73, pp. 791-806, 1968.

• J. Kevorkian and G. Brachet, ``Numerical analysis of the asymptotic solution for Earth-to-Moon trajectories,'' AIAA J., 7, pp. 885-889, 1969.

• J. Kevorkian, ``Passage through resonance for a one-dimensional oscillator with slowly varying frequency,'' SIAM J. Appl. Math., 20, pp. 364-373, 1971.

• S.C. Chikwendu and J. Kevorkian, ``A perturbation method for hyperbolic equations with small nonlinearities,'' SIAM J. Appl. Math. , 22, pp. 235-258, 1972.

• J. Kevorkian, ``On a model for reentry roll resonance,'' SIAM J. Appl. Math., 26, pp. 638-669, 1974.

• G. Pechuzal and J. Kevorkian, ``Supersonic-transonic flow generated by a thin airfoil in a stratified atmosphere,'' SIAM J. Appl. Math. , 33, pp. 8-33, 1977.

• J.M. Chapman and J. Kevorkian, ``Propagation of a laser beam in a time-varying waveguide,'' J. Appl. Phys., 49, pp. 4722-4736, 1978.

• L. Lewin and J. Kevorkian, ``On the problem of sustained resonance,'' SIAM J. Appl. Math., 35, pp. 738-754, 1978.

• J. Kevorkian, ``Resonance in a weakly nonlinear system with slowly varying parameters,'' Stud. Appl. Math., 62, pp. 23-67, 1980.

• J. Kevorkian, ``Adiabatic invariance and passage through resonance for nearly periodic Hamiltonian systems,'' Stud. Appl. Math., 66, pp. 95-119, 1982.

• J. Kevorkian and H.K. Li, ``Resonant modal interactions and adiabatic invariance for a nonlinear wave equation in a variable domain,'' Stud. Appl. Math., 71, pp. 1-64, 1984.

• C.L. Frenzen and J. Kevorkian, ``A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations,'' Wave Motion, 7, pp. 25-42, 1985.

• J. Kevorkian, ``Perturbation techniques for oscillatory systems with slowly varying parameters,'' SIAM Rev., 29, pp. 391-461, 1987.

• J. Kevorkian and Y.P. Li, ``Explicit Approximations for strictly nonlinear oscillators with slowly varying parameters with applications to free-electron lasers,'' Stud. Appl. Math., 78, pp. 111-165, 1988.

• Y.P. Li and J. Kevorkian, ``The effects of wiggler taper rate and signal field gain rate in free-electron lasers,'' IEEE J. Quantum Electron., 24, pp. 598-608, 1988.

• J. Kevorkian and J. Yu, ``Passage through the critical Froude number for shallow water waves over a variable bottom,'' J. Fluid Mech., 204, pp. 31-56, 1989.

• D.L. Bosley and J. Kevorkian, ``Sustained resonance in very slowly varying oscillatory Hamiltonian systems,'' SIAM J. Appl. Math., 51, pp. 439-471, 1991.

• D.L. Bosley and J. Kevorkian, ``Free-electron lasers with very slow wiggler taper,'' IEEE J. Quantum Electron., 27, pp. 1078-1089,1991.

• D.L. Bosley and J. Kevorkian, ``Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems,'' SIAM J. Appl. Math., 52, pp. 494-527, 1992.

• M. Pernarowski, R.M. Miura and J. Kevorkian, ``Perturbation techniques for models of bursting electrical activity in pancreatic beta-cells,'' SIAM J. Appl. Math., 52, pp. 1627-1650, 1992.

• J. Yu and J. Kevorkian, ``Nonlinear evolution of small disturbances into roll waves in an inclined open channel,'' J. Fluid Mech., 243, pp. 575-594, 1992.

• J. Yu and J. Kevorkian, ``The interaction of a strong bore with small disturbances in shallow water,'' Stud. Appl. Math., 91, pp. 247-273, 1994.

• J. Kevorkian, J. Yu and L. Wang, ``Weakly nonlinear waves for a class of linearly unstable hyperbolic conservation laws,'' SIAM J. Appl. Math. , 55, pp. 446-484, 1995.

• D.L. Bosley and J. Kevorkian, ``On the asymptotic solution of non-Hamiltonian systems exhibiting sustained resonance,'' Stud. Appl. Math., 94, pp. 83-130, 1995.

• L. Wang, D.L. Bosley and J. Kevorkian, ``Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria,'' Physica D, 88, pp. 87-115, 1995.

• L. Wang and J. Kevorkian, ``Asymptotic electron trajectories and an adiabatic invariant for a helical-wiggler free electron laser with weak self-fields,'' Phys. Plasmas, 3, pp. 1162-1175, 1996.

• J. Kevorkian and D.L. Bosley, ``Multiple-scale homogenization for weakly nonlinear conservation laws with rapid spatial fluctuations,'' Stud. Appl. Math., 101, pp. 127-183, 1998.

Proceedings:

• J.D. Cole and J. Kevorkian, ``Uniformly valid asymptotic approximation for certain nonlinear differential equations,'' Proceedings of International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, pp. 113-120, 1963.

• P.A. Lagerstrom and J. Kevorkian, ``Numerical aspects of uniformly valid asymptotic approximations for a class of trajectories in the restricted three-body problem,'' Celestial Mechanics and Astrodynamics, AIAA, Progress in Astronautics and Aeronautics Series, 14, pp. 3-33, 1964.

• J. Kevorkian, ``The two-variable expansion procedure for the approximate solution of certain nonlinear differential equations,'' Lectures in Applied Mathematics, 7, Space Mathematics, Part III, American Mathematical Society, pp. 206-275, 1966.

• M.C. Eckstein, Y.Y. Shi and J. Kevorkian, ``A uniformly valid asymptotic representation of satellite motion around the smaller primary in the restricted three-body problem,'' Methods in Astrodynamics and Celestial Mechanics, AIAA, Progress in Aeronautics and Astronautics Series, 17, pp. 183-198, 1966.

• M.C. Eckstein, Y.Y. Shi and J. Kevorkian, ``Satellite motion for all inclinations around our oblate planet,'' Symposium No. 25, IAU, Academic Press, pp. 291-322, 1966.

• J. Kevorkian, ``The planar motion of a Trojan asteroid,'' Periodic Orbits, Stability and Resonances, D. Reidel Publishing Company, pp. 286-303, 1970.

• J. Kevorkian, ``Passage through resonance,'' Singular Perturbations and Asymptotics, Academic Press, pp. 191-222, 1980.

• M. Pernarowski, R.M. Miura and J. Kevorkian, ``The Sherman-Rinzel-Kizer model for bursting electrical activity in the pancreatic beta-cell,'' Differential Equation Models in Population Dynamics and Physiology, Springer-Verlag, pp. 34-53, 1991.

• J. Kevorkian, ``Weakly nonlinear conservation laws with source terms,'' Mathematics is for Solving Problems SIAM Publications, pp. 167-178, 1996.

Technical reports:

• W. Castles, H.L. Durham and J. Kevorkian, ``Normal component of induced velocity for entire field of a uniformly loaded lifting rotor with highly swept wake as determined by electromagnetic analog,'' National Advisory Committee for Aeronautics, Technical Report R-41, 1959.

• J. Kevorkian, ``The two variable expansion procedure for the approximate solution of certain nonlinear differential equations,'' Douglas Aircraft Co., Santa Monica, CA, Report No. SM-42620, 1962.

• J. Kevorkian, ``The motion of a radially deforming slender body of revolution in a perfect fluid,'' Ecole Nationale de Techniques Avancees, Paris, Report 070, 1976.