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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 16, issue 2
Nonlin. Processes Geophys., 16, 169-178, 2009
https://doi.org/10.5194/npg-16-169-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Extreme surface and internal waves

Nonlin. Processes Geophys., 16, 169-178, 2009
https://doi.org/10.5194/npg-16-169-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

  04 Mar 2009

04 Mar 2009

Conjugate flows and amplitude bounds for internal solitary waves

N. I. Makarenko1,2, J. L. Maltseva1,2, and A. Yu. Kazakov1 N. I. Makarenko et al.
  • 1Lavrentyev Institute of Hydrodynamics 630090, Novosibirsk, Russia
  • 2Novosibirsk State University 630090, Novosibirsk, Russia

Abstract. Amplitude bounds imposed by the conservation of mass, momentum and energy for strongly nonlinear waves in stratified fluid are considered. We discuss the theoretical scheme which allows to determine broadening limits for solitary waves in the terms of a given upstream density profile. Attention is focused on the continuously stratified flows having multiple broadening limits. The role of the mean density profile and the influence of fine-scale stratification are analyzed.

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