Asymptotic solution of a non-linear wave motion in an electron plasma
β Scribed by Rishi R. Sharma; Bishun D. Pandey; Pushpa Sharma; Madhukar Gaur
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 124 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
The theory of high-frequency waves has been used to calculate first and second-order asymptotic solutions for the propagation of non-linear waves in a cylindrical symmetric flow of an electron plasma. The behaviour of acceleration waves and weak shock waves has been analysed through these solutions and Whitham's rule for a weak shock wave on any wavelet has been confirmed through the first-order solution. The appearance of a weak shock wave on any wavelet has been determined and its strength, the location, and the speed of propagation have been found from the asymptotic solution presented in this paper. 1997
π SIMILAR VOLUMES
We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of Kirchho! type in the whole space: , and '0, with initial data u(x, 0)"u (x) and u R (x, 0)"u (x).
We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.