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Browsing Bergen Open Research Archive by Author "Senthilkumar, Amutha"

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    • Boundary-value problems and shoaling analysis for the BBM equation 

      Senthilkumar, Amutha (Master thesis, 2012-02-20)
      In this thesis we study the BBM equation u_t+u_x+ \frac{3}{2}uu_x - \frac{1}{6} u_{xxt}= 0 which describes approximately the two-dimensional propagation of surface waves in a uniform horizontal channel containing an ...
    • Derivation of Boussinesq's shoaling law using a coupled BBM system 

      Kalisch, Henrik; Senthilkumar, Amutha (Peer reviewed; Journal article, 2013-03-14)
      This paper is focused on finding rules for waveheight change in a solitary wave as it runs up a slowly increasing bottom. A coupled BBM system is used to describe the solitary waves. Expressions for energy density and ...
    • On the influence of wave reflection on shoaling and breaking solitary Waves 

      Senthilkumar, Amutha (Peer reviewed; Journal article, 2016)
      A coupled BBM system of equations is studied in the situation of water waves propagating over a decreasing fluid depth. A conservation equation for mass and also a wave breaking criterion, both valid in the Boussinesq ...
    • On the Relation between Surface Profiles and Internal Flow Properties in Long-Wave Models 

      Senthilkumar, Amutha (Doctoral thesis, 2017-03-10)
      In this work, we investigate the internal velocity field in a number of Boussinesq models in non-uniform situations. A coupled BBM-BBM type system of equations is derived in the assumption of water wave propagating over ...

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