• Fully dispersive water wave equations 

      Dinvay, Evgueni (Doctoral thesis, 2020-02-21)
      The PhD project concerns the surface water wave theory. Liquid is presented as a three or two dimensional layer bounded from below by a rigid horizontal bottom. Above it can have either a free surface or an elastic layer ...
    • Well-Posedness for a Dispersive System of the Whitham-Boussinesq Type 

      Dinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef (Journal article; Peer reviewed, 2020)
      We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive ...
    • Well-Posedness for a Whitham–Boussinesq System with Surface Tension 

      Dinvay, Evgueni (Journal article; Peer reviewed, 2020)
      We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal dispersive perturbation of the shallow ...