Long-wave asymptotics with dispersion for waves propagation in stratified media, I. Waves orthogonal to the layers

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 15, Issue 1, 2000, Pages 3-14

  Bakhvalov, N S ^a   Eglit, M E ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011290758     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam.2000.15.1.3     Document Type: Article

References (5)

1. N. S. Bakhvalov, Averaging partial differential equations with rapidly oscillating coefficients. Dokl. Akad. Nauk SSSR (1975) 221, No. 3, 516-519 (in Russian).
2. N. S. Bakhvalov and M. E. Eglit, Variational properties of the averaged models of periodic media. Proc. of Steklov Inst. of Math. (1992) 3, 3-18.
3. O.A. Ladyzhenskaya, Boundary Value Problems of Mathematical Physics. Nauka, Moscow, 1973 (in Russian).
4. F. Santosa, A dispersive effective medium for waves propagation in periodic composites. SIAM J. Appl. Math. (1991) 51, No. 4, 984-1005.
5. M.I. Vishik and L.A. Lyusternik, Solution of some problems of perturbation in the case of matrices and self-adjoint and not self-adjoint differential equations. Uspekhi Mat. Nauk (1960) 15, No. 3, 3-80 (in Russian).