Numerical Comparison of Negative Damping Bounds in a Specified Domain when the Wave Speed Varies
The energy decay of a self-excited wave equation u tt - c 2 Δ u - P(x)u t = 0 is studied where the wave speed c is greater than one, P(x) ≥ 0, and P(x) ϵ L ∞ (Ω), Ω ⊂ R n . Moreover, the relationship between two bounds for negative daming P(x) is a determined domain is shown (n=1,2). Finally some nu...
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| Format: | Tagungsbericht |
| Sprache: | eng |
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| Zusammenfassung: | The energy decay of a self-excited wave equation u tt - c 2 Δ u - P(x)u t = 0 is studied where the wave speed c is greater than one, P(x) ≥ 0, and P(x) ϵ L ∞ (Ω), Ω ⊂ R n . Moreover, the relationship between two bounds for negative daming P(x) is a determined domain is shown (n=1,2). Finally some numerical experiences for different P(x) and c are presented for domain Ω with energy absorbing boundary. |
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| DOI: | 10.23919/ACC.1992.4792513 |