Chair
Director, Center for Applied Mathematics & Statistics,
Full Professor

Areas of Research

The research of Daljit S. Ahluwalia is in the field of applied mathematics, mainly in the areas of asymptotics and wave propagation.  Using analytic and asymptotic methods, he has addressed a wide range of phenomena including scattering, diffraction, reflection, guided waves, dispersion and shock waves.  Applications of this work include ocean acoustics, water waves, electromagnetics and elastic waves. 

Selected Publications  

 "Advection-diffusion around a curved obstacle," Journal of Mathematical Physics, vol. 39, no. 7, pp. 3694-3707, 1998 (with J.B. Keller and C. Knessl).

"Exact analytic solutions describing unsteady plane gas flows with shocks of arbitrary strength," Quarterly Journal of Applied Mathematics, vol. L, no. 4, pp. 677-726, 1992 (with P. L. Sachdev and N. Gupta).

"Global solutions describing the collapse of a spherical or cylindrical cavity," ZAMP, 43, 1992 (with P.L. Sachdev and N. Gupta).

"Direct and inverse scattering of acoustic waves by low speed free shear," J. Acous. Soc. Am., 88, pp. 1596-1602, 1990 (with G. Kriegsmann and E. Reiss).

"Scattering by a slender body," J. Acous. Soc. Am., 30, pp. 1782-1792, 1986 (with J.B. Keller).

"Scattering of low frequency acoustic waves by baffled membranes and plates," J. Acous. Soc. Am., 78, pp. 682-687, 1985 (with G. Kriegsmann and E. Reiss).

"Solution of a class of mixed free boundary problems," SIAM J. Appl. Math., 43, pp. 759-775, 1983 (with L. Ting and M. Miksis).