Browsing Department of Mathematics by Author "Dinvay, Evgueni"
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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 ... -
Waves generated by moving loads on ice plates: Viscoelastic approximations
Dinvay, Evgueni; Kalisch, Henrik; Părău, Emilian (Journal article; Peer reviewed, 2022)The paper investigates waves generated by the moving loads on ice plates floating on an incompressible fluid. Two different viscoelastic approximations are considered for the ice cover: A model depending on the strain-relaxation ... -
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 ...