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A study of singularities in the inviscid linear theory of sea breezes

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Abstract

An inviscid model for the sea breeze derived from the viscous model of Li and Smith (J Atmos Sci 67:2752–2765, 2010) [thereafter used by Jiang (J Atmos Sci 69:1890–1909, 2012)] has been considered. The apparent singularities appearing in the inviscid case has been analyzed rigorously and shown that they can be removed easily by taking limits of the Fourier transform of the solutions. It is also shown that the inviscid solutions have earlier onset of onshore winds in comparison to the viscous solutions.

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Authors and Affiliations

  1. School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram, Kerala, India

    Arnab Jyoti Das Gupta

  2. Centre for Applicable Mathematics, Tata Institute of Fundamental Research, Bangalore, India

    A. S. Vasudeva Murthy

  3. Centre for Atmospheric and Oceanic Sciences, Indian Institute of Science, Bangalore, India

    Ravi S. Nanjundiah

  4. Divecha Centre for Climate Change, Indian Institute of Science, Bangalore, India

    Ravi S. Nanjundiah

Authors
  1. Arnab Jyoti Das Gupta
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  2. A. S. Vasudeva Murthy
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  3. Ravi S. Nanjundiah
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Corresponding author

Correspondence to Arnab Jyoti Das Gupta.

Additional information

This work was done while the first author was a Research Associate at the Divecha Centre for Climate Change, Indian Institute of Science, Bangalore.

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Das Gupta, A.J., Murthy, A.S.V. & Nanjundiah, R.S. A study of singularities in the inviscid linear theory of sea breezes. Int J Adv Eng Sci Appl Math 7, 33–37 (2015). https://doi.org/10.1007/s12572-015-0129-y

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  • DOI: https://doi.org/10.1007/s12572-015-0129-y

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