(2014). On devising Boussinesq-type models with bounded eigenspectra: One horizontal dimension.

Several Miura type transformations for the Boussinesq equation are found and the corresponding integrable systems constructed.

The accurate numerical simulation of wave disturbance within harbours requires consideration of both nonlinear and dispersive wave processes in order to capture such physical effects as wave refraction and diffraction, and nonlinear wave interactions such as the generation of harmonic waves. The Boussinesq equations are the simplest class of mathematical model that contain all these effects in ...

We consider the three-dimensional Boussinesq equations, and obtain an Osgood type regularity criterion in terms of the velocity gradient.

streamflow recession indicates the river network balance between revenue and losses of river. recession curve expreses the storage- output relationship for the catchment. the aim of this study was trend anaylysis, modeling of streamflow recession and uncertainty estimation in shahmokhtar station on the bashar river in kohgiluyeh and boyer ahmad province. based on the results of the mann-kendall...

We study the Oberbeck-Boussinesq approximation describing the motion of an incompressible, heat-conducting fluid occupying a general unbounded domain in R3. We provide a rigorous justification of the model by means of scale analysis of the full Navier-Stokes-Fourier system in the low Mach and Froude number regime on large domains, the diameter of which is proportional to the speed of sound. Fin...

The improved Boussinesq equation is studied in this paper. Control properties for this equation posed on a bounded interval are first considered. When the control acts through the Dirichlet boundary condition the linearized system is proved to be approximately but not spectrally controllable. In a second part, the equation is posed on the one-dimensional torus and distributed moving controls ar...

The Euler’s equations describing the dynamics of capillarygravity water waves in two-dimensions are considered in the limits of small-amplitude and long-wavelength under appropriate boundary conditions. Using a double-series perturbation analysis, a general Boussinesq type of equation is derived involving the small-amplitude and longwavelength parameters. A recently introduced sixth-order Bouss...