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Water Waves and Problems of Infinite Time Control

  • David L. Russell
  • Russell M. Reid

Abstract

Our objective in this brief report is to study the control of small amplitude waves on the surface of an incompressible fluid and to show that the resulting control problem, which requires a semi-infinite time interval for its solution, introduces phenomena which motivate the development of a general approach to controllability significantly different from that commonly used for systems with a finite control time. The reader is referred to [1],[2],[3] for background on water waves and to [4] for an abstract formulation of control problems in general.

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References

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    J.J. Stoker: “Water Waves”, Interscience Pub. Co., New York, 1957.MATHGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • David L. Russell
    • 1
  • Russell M. Reid
    • 1
  1. 1.University of WisconsinMadisonUSA

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