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Volume 125 - 1995

Contents

Page 5 of 5

Front matter

  • PRM volume 125 issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. f1-f2
    • Article
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Back matter

  • PRM volume 125 issue 6 Cover and Back matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. b1-b2
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Front matter

  • PRM volume 125 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. f1-f2
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Back matter

  • PRM volume 125 issue 4 Cover and Back matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. b1-b2
    • Article
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  • PRM volume 125 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. b1-b2
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Research Article

  • On the existence of solitary waves in rotating fluids

  • S. M. Sun
  • Published online by Cambridge University Press:
    14 November 2011, pp. 1105-1129

  • This paper considers the existence of axisymmetric solitary waves in an inviscid and incompressible rotating fluid bounded by a rigid cylinder. It has been obtained by many experiments and formal derivations that this flow has internal solitary waves in the fluid when equilibrium state at infinity satisfies certain conditions. This paper gives a rigorous proof of the existence of solitary wave solutions for the exact equations governing the flow under such conditions at infinity, and shows that the first-order approximations of the solitary wave solutions for the exact equations are solitary wave solutions derived formally using long-wave approximation. The ideas in the proof of the existence of solitary waves in two-dimensional stratified fluids are used and a main difficulty from the singularity at axis of rotation is overcome.

Back matter

  • PRM volume 125 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. b1-b2
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Front matter

  • PRM volume 125 issue 5 Cover and Front matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. f1-f2
    • Article
      • You have access
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Back matter

  • PRM volume 125 issue 5 Cover and Back matter

  • Published online by Cambridge University Press:
    14 November 2011, pp. b1-b2
    • Article
      • You have access
    • PDF
    • Export citation

Page 5 of 5