26 citations · 66 across the 16 of their papers we have counts for
9 papers · 1 filter
A Regularized Shallow Water System
Evgueni Dinvay, Henrik Kalisch
The shallow-water system is a standard model for long waves in shallow water. The system is hyperbolic and, for a large class of initial data, solutions develop steep gradients lea…
A conservative stochastic Dirac-Klein-Gordon system
Evgueni Dinvay, Sigmund Selberg
Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa inter…
Hamiltonian formulation of the stochastic surface wave problem
Evgueni Dinvay, Etienne Memin
We devise a stochastic Hamiltonian formulation of the water wave problem. This stochastic representation is built within the framework of the modelling under location uncertainty.…
A stochastic Benjamin-Bona-Mahony type equation
Evgueni Dinvay
Considered herein is a particular nonlinear dispersive stochastic equation. It was introduced recently in [3], as a model describing surface water waves under location uncertainty.…
Travelling waves in the Boussinesq type systems
Evgueni Dinvay
Considered herein are a number of variants of the Boussinesq type systems modeling surface water waves. Such equations were derived by different authors to describe the two-way pro…
Well-posedness for a Whitham-Boussinesq system with surface tension
Evgueni Dinvay
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…