Application of the multiple-scale method in the problem of waves on the surface of a liquid

  • V. A. Batishchev
  • V. V. Trepachev


Mathematical Modeling Mechanical Engineer Industrial Mathematic 
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Literature cited

  1. 1.
    L. N. Sretenskii, “Waves on the surface of a viscous liquid,” Tr. Tsentr. Aérogidrodin. Inst., No. 541 (1941).Google Scholar
  2. 2.
    é. N. Potetyunko and L. S. Srubshchik, “Asymptotic analysis of the wave motions of a viscous liquid with a free boundary,” Prikl. Mat. Mekh.,34, No. 5 (1970).Google Scholar
  3. 3.
    M. I. Vishik and L. A. Lyusternik, “Regular degeneracy and the boundary layer for linear differential equations with a small parameter,” Usp. Mat. Nauk,12, No. 5 (1957).Google Scholar
  4. 4.
    J. D. Cole, Perturbation Methods in Applied Mathematics, Blaisdell, Waltham, MA (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • V. A. Batishchev
    • 1
  • V. V. Trepachev
    • 1
  1. 1.Rostov-on-Don

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