Trapped modes in a waveguide with a long obstacle

Journal of Fluid Mechanics

Volumn 403, Issue , 2000, Pages 251-261

  Khallaf, N S A ^a,b   Parnovski, L ^b   Vassiliev, D ^c  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^b UNIVERSITY OF SUSSEX   (United Kingdom)

^c University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; WAVE THEORY;

EID: 0033946677     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007028     Document Type: Article

References (9)

1. CALLAN, M., LINTON, C. M. & EVANS, D. V. 1991 Trapped modes in two-dimensional waveguides. J. Fluid Mech. 229, 51-64.
2. COURANT, R. & HILBERT, D. 1989 Methods of Mathematical Physics I. Wiley.
3. DAVIES, E. B. & PARNOVSKI, L. 1998 Trapped modes in acoustic waveguides. Q. J. Mech. Appl. Maths 51, 477-492.
4. EVANS, D. V. 1992 Trapped acoustic modes. IMA J. Appl. Maths 49, 45-60.
5. EVANS, D. V., LEVITIN, M. & VASSILIEV, D. 1994 Existence theorems for trapped modes. J. Fluid. Mech. 261, 21-31.
6. EVANS, D. V. & LINTON, C. M. 1991 Trapped modes in open channels. J. Fluid. Mech. 225, 153-175.
7. EVANS, D. V. & LINTON, C. M. 1992 Acoustic resonance in ducts. J. Sound Vib. 173, 85-94.
8. ROITBERG, I., VASSILIEV, D. & WEIDL, T. 1998 Edge resonance in an elastic semi-strip. Q. J. Mech. Appl. Maths 51, 1-13.
9. STOLLMANN, P. 1995 A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains. Math. Z. 219, 275-287.