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Title of Journal: J Eng Math

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Abbravation: Journal of Engineering Mathematics

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Springer Netherlands

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DOI

10.1016/0020-711x(79)90127-7

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1573-2703

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The uniform asymptotic form of the internal gravit

Authors: Vitaly V Bulatov Yury V Vladimirov
Publish Date: 2010/07/20
Volume: 69, Issue: 2-3, Pages: 243-259
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Abstract

The uniform asymptotic form of the internal gravitywave field generated by a source moving above a smoothly varying bottom is constructed The problem of reconstructing nonharmonic internal gravitywave packets generated by a source moving in a stratified ocean is considered The solution is proposed in terms of wave modes propagating independently at the adiabatic approximation and described as a nonintegraldegree series of a small parameter characterizing the stratified medium A specific form of the wave packets which can be parameterized in terms of model functions Airy functions depends on the local behavior of the dispersion curves of the individual wave mode A modified space–time ray method was proposed which belongs to the class of geometricaloptics methods The key point of the proposed technique is the possibility to derive the asymptotic representation of the solution in terms of a nonintegraldegree series of the some small parameter


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  1. Propagation of Electromagnetic Waves in Media Undergoing Complex Motions
  2. An approach to differentiation of non-smooth functions obtained during residual stress measurements by layer-removal method
  3. Quantification of tidal watertable overheight in a coastal unconfined aquifer
  4. Shallow water entry: modeling and experiments
  5. Existence and stability of regularized shock solutions, with applications to rimming flows
  6. The uniform asymptotic form of the internal gravity-wave field generated by a source moving above a smoothly varying bottom
  7. Entropy formulations for a class of scalar conservations laws with space-discontinuous flux functions in a bounded domain
  8. Asymptotic reflection of linear water waves by submerged horizontal porous plates
  9. Bridging game theory and the knapsack problem: a theoretical formulation
  10. Fiber orientation effects on heat source distribution in reinforced polyamide 6.6 subjected to low cycle fatigue
  11. A nonlinear theory for a flexible unsteady wing
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  13. Series expansion and asymptotic formulas for heat transfer of an inclined moving heat source
  14. A spectral method for Faraday waves in rectangular tanks
  15. Geometric modelling of kink banding in multidirectional composites
  16. Instability of stretched and twisted soap films in a cylinder
  17. Flexural gravity wave scattering by a nearly vertical porous wall
  18. Analytical study of slightly eccentric core–annular flow
  19. Coating flows of non-Newtonian fluids: weakly and strongly elastic limits
  20. The analytic form of Green’s function in elliptic coordinates
  21. Analytic extensions of the Debye–Hückel approximation to the Poisson–Boltzmann equation
  22. Gas-cushioned droplet impacts with a thin layer of porous media
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