Differential Equations and Nonlinear Mechanics by Patricia Anderson, Stephen R. Bernfeld (auth.), K. Vajravelu

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By Patricia Anderson, Stephen R. Bernfeld (auth.), K. Vajravelu (eds.)

The foreign convention on Differential Equations and Nonlinear Mechanics was once hosted via the college of primary Florida in Orlando from March 17-19, 1999. one of many convention days was once devoted to Professor V. Lakshmikantham in th honor of his seventy five birthday. 50 good proven pros (in differential equations, nonlinear research, numerical research, and nonlinear mechanics) attended the convention from thirteen nations. Twelve of the attendees introduced hour lengthy invited talks and final thirty-eight provided invited forty-five minute talks. In every one of those talks, the point of interest was once at the fresh advancements in differential equations and nonlinear mechanics and their functions. This ebook involves 29 papers according to the invited lectures, and that i think that it offers a sensible choice of complex themes of present curiosity in differential equations and nonlinear mechanics. i'm indebted to the dep. of arithmetic, collage of Arts and Sciences, division of Mechanical, fabrics and Aerospace Engineering, and the workplace of overseas experiences (of the collage of important Florida) for the monetary aid of the convention. additionally, to the math division of the college of imperative Florida for delivering secretarial and administrative tips. i need to thank the individuals of the neighborhood organizing committee, Jeanne clean, Jackie Callahan, John Cannon, Holly Carley, Brad Pyle, Pete Rautenstrauch, and June Wingler for his or her counsel. thank you also are because of the convention organizing committee, F. H. Busse, J. R. Cannon, V. Girault, R. H. J. Grimshaw, P. N. Kaloni, V.

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Wave motion in type I cornet tails, in Cosmic Plasma Physics K. Schindler, ed. , Plenum, New York, 1972. , Oscillations of type I comet tails, Planetary and Space Science 20, 1972, 1235-1243; and, Nonlinear waves in type I comet tails 21, 1973, 663-673. D. , Instabilities of Kelvin-Helmholtz type for relativistic streaming, Monthly Notices Roy. Astron. Soc. 176, 1976,421-441. O. , Kelvin-Helmholtz instability of relativistic beams, Monthly Notices Roy. Astron. Soc. 176, 1976,443-454. , Helmholtz instability of a plasma, Physical Review Second Series, 103, 1956, 1150-1154.

Instabilities of Kelvin-Helmholtz type for relativistic streaming, Monthly Notices Roy. Astron. Soc. 176, 1976,421-441. O. , Kelvin-Helmholtz instability of relativistic beams, Monthly Notices Roy. Astron. Soc. 176, 1976,443-454. , Helmholtz instability of a plasma, Physical Review Second Series, 103, 1956, 1150-1154. , Stablity of the interface between two fluids in relative motion, Rev. Modern Phys. 40, 1968, 652-658. P. , Kelvin-Helmholtz instabilities of magnetized shear layers, Monthly Notices Roy.

14) Choudhury, S. , On the Kelvin-Helmholtz instabilities of supersonic shear layers, Astrophysical 1. 283, 1984, 331-342; and, On the Kelvin-Helmholtz instabilites of highvelocity magnetized shear layers 302, 1986, 188-199; Miura, A. , Nonlinear stability analysis of the MHO Kelvin-Helmholtz instability in a compressible plasma, 1. Geophysical Res. 87, 1982,7431-7444. [15] Choudhury, S. Roy, Kelvin-Helmholtz instabiJites of supersonic, magnetized shear layers, J. Plasma Phys. 35,1986,375-392. , On the Kelvin-Helmholtz instabilites of structured plasma magnetosphere, Planetary and Space Science 34, 1985, 1223-1227.

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