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Maz’ya’s works in the linear theory of water waves

  • N. G. Kuznetsov
  • B. R. Vainberg
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 109)

Abstract

The paper surveys results of V. Maz’ya in the linear theory of water waves. All main topics of his work in this field are considered. At first, we describe Maz’ya’s achievements concerning the tough question of the unique solvability of two steady-state problems, which are: (1) the problem of time-harmonic waves in a layer of variable depth, and above a totally submerged body; (2) the problem of wave patterns due to the uniform forward motion of a body in water of constant depth. The review ends with a description of asymptotic expansions for unsteady waves arising from brief and high-frequency disturbances. A complete list of Maz’ya’s publications on water waves is given.

Keywords

Free Surface Asymptotic Expansion Linear Theory Water Wave Uniqueness Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

Publications of Vladimir Maz’ya

  1. Vainberg, B.R. & Maz’ja, V.G. 1972 On some stationary problems in the linear theory of surface waves. Soviet Physics Dokl. 17, 640–643.Google Scholar
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Other_Works

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Copyright information

© Springer Basel AG 1999

Authors and Affiliations

  • N. G. Kuznetsov
    • 1
  • B. R. Vainberg
    • 2
  1. 1.Laboratory for Mathematical Modelling of Wave PhenomenaInstitute of Problems in Mechanical Engineering, Russian Academy of SciencesSt. PetersburgRussian Federation
  2. 2.University of North Carolina at CharlotteCharlotteUSA

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