Translation representations for the solution of the non-euclidean wave equation II
β Scribed by Peter D. Lax; Ralph S. Phillips
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 350 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0010-3640
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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).
A modiΓΏed version of an exact Non-re ecting Boundary Condition (NRBC) ΓΏrst derived by Grote and Keller is implemented in a ΓΏnite element formulation for the scalar wave equation. The NRBC annihilate the ΓΏrst N wave harmonics on a spherical truncation boundary, and may be viewed as an extension of th