𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic solution of a non-linear wave motion in an electron plasma

✍ 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

No coin nor oath required. For personal study only.

✦ 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


πŸ“œ SIMILAR VOLUMES


Global existence, asymptotic behaviour,
✍ Kosuke Ono πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 178 KB πŸ‘ 2 views

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).

On Global Existence, Asymptotic Stabilit
✍ Kosuke Ono πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 335 KB πŸ‘ 2 views

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.