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The evolution of waves on the surface of a body of water (or another approximately inviscid
liquid) is governed by the free-surface Euler equations; that is, the incompressible Euler …

In this paper, optimal control of excessive water waves in a canal system, modeled by a
nonlinear improved Boussinesq equation, is considered. For this aim, well-posedness and …

A boundary control problem is considered for determining a canal depth function optimally
for a canal system modeled by a nonlinear Boussinesq equation. By determining the optimal …

It has been established that solutions to the inviscid Proudman-Johnson equation subject to
a homogeneous three-point boundary condition can develop singularities in finite time. In …

In this paper, the optimal distributed control problem of an Damped Boussinesq equation is
studied. Dubovitskii-Milyutin functional analytical approach is formulated for obtaining the …