A mathematical analysis of nonlinear waves in a fluid filled visco-elastic tube

Author:

Ravindran R.,Prasad P.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference27 articles.

1. Anliker, N.: Waves in cylindrical vessels filled with an inviscid fluid and having elastic or viscoelastic walls, in: Biomechanics, its foundations and objectives (Füng, Y. C., Perrone, M., Anliker, N., eds.). 1972.

2. Asano, N., Taniuti, T.: Perturbation method for a non-linear wave modulation, II. J. Mathematical Phys.10, 2020?2024 (1969).

3. Atabek, H. B.: Wave propagation through a viscous fluid contained in a tethered, initially stressed, orthotropic elastic tube. Biophysical J.8, 626?649 (1968).

4. Benjamin, T. B.: Instability of periodic wave-trains in non-linear dispersive systems. Proc. Roy. Soc. (Lond.)A 299, 59?75 (1967).

5. Courant, R., Friedrichs, K. O.: Supersonic flow and shock waves. New York-London: Interscience. 1948.

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