By J. Engelbrecht (auth.), Professor Jüri Engelbrecht (eds.)
ISBN-10: 3540511903
ISBN-13: 9783540511908
ISBN-10: 3642747892
ISBN-13: 9783642747892
TIlis quantity includes the contributions to the Euromech Colloquium No. 241 on Nonlinear Waves in lively Media on the Institute of Cybernetics of the Estonian Academy of Sciences, Tallinn, Estonia, USSR, September 27-30, 1988. The Co-chairmen of the Euromech Colloquium felt that it might be an outstanding carrier to the neighborhood to post those lawsuits. First, the subject itself facing a number of wave techniques with strength inflow is very fascinating and attracted a miles better variety of individuals than ordinary - a transparent signal of its value to the clinical group. moment, Euromech No. 241 was once truly the 1st Euromech Colloquium held within the Soviet Union and will therefore be considered as a milestone within the extending medical contacts among East and West. on the colloquium 50 researchers operating in very varied branches of sci ence met to lecture on their effects and to debate difficulties of universal curiosity. An introductory paper by way of I. Engelbrecht offers the typical motivation and heritage of the subjects coated. Altogether 36 audio system provided their lectures, of which 30 are accumulated the following. the rest six papers with a view to look in other places are indexed on web page X. moreover, 3 contributions via authors who couldn't attend the colloquium are integrated. the 2 lectures given by way of A.S. Mikhailov, V.S. Davydov and V.S. Zykov are the following released as one lengthy paper.
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Extra resources for Nonlinear Waves in Active Media
Example text
Progressive Waves, Jber. D. G. L. R. 1971, Koln, 11-30, 1972. , Theory of Nonlinear Wave Propagation with Application to the In teraction and Inverse Problems, Int. J. , 12, 189-201, 1977. , Onde Non Lineari Dispersive e Dissipative, Bollettino U. M. , 16-A, 5, 450-458, 1979. , La Propagation des Ondes, Gauthier-Villars, Paris 1965. , Extended Thermodynamics of Thermoelastic Solids, Proceedings of the Symposium on "Finite Thermoelastici ty", 1985, Atti Acc. Naz. Lincei, 189217, 1986. Landau L.
J. Rinzel, D. Terman: SIAM J. AppI. , 42,1111-1137 (1982) 12. M. Miura: J. Math. , 13, 247-269 (1982) 13. C. Scott: Active and Nonlinear Wave Propagation in Electronics (Wiley-Interscience, New York 1970) 14. B. Whitham: Linear and Nonlinear Waves (Wiley, New York 1974) 15. A. Ostrovski: In Nonlinear Deformation Waves ed. by U. Nigul, J. Engelbrecht (Springer, Berlin, Heidelberg, New York 1983) pp. 30-43 16. J. Engelbrecht, Y. Khamidullin: Phys. Earth and Plan. , 50, 39-45 (1988) 17. J. Engelbrecht, A.
3). 11) are gl ven by A, 0, , = 2 ±{-r E + (-r-e E h Ie }'/2. 14) (-r-e )/e \\ E 6 where the superscript T means for transposition. Let us consider wave propagation into a constant state described by U = U 0 = const. B'1=~'(-r IA 2 e ) . 20) generalizes the Burgers' equation which can be obtained when for heat conduction the classical Fourier's law is assumed (v=a' =0). As main feature, it irwol ves also higher order nonlinear terms. 20) has been already deduced, within a different physical context, in [4] where also the steady-state solutions and the related wave profiles have been characterized.
Nonlinear Waves in Active Media by J. Engelbrecht (auth.), Professor Jüri Engelbrecht (eds.)
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