In this paper, we study the solutions of the initial-value problem (IVP) for the quasi-geostrophic equations, namely ∂tθ + u.∇θ + κ (−∆) θ = 0, on R × ]0,+∞[ , θ (x, 0) = θ0(x), x ∈ R. Our goal is to establish the existence and uniqueness of regulars solutions for the two-dimentional dissipative quasi-geostrophic equation with initial data in a Sobolev space H satisfying suitable conditions wit...

Echocardiography is the method of choice to establish a diagnosis and determine a treatment plan for patients with noncompaction of ventricular myocardium (NVM). The 2-dimentional echocardiography, 3-dimentional echocardiography, color Doppler echocardiography and contrast-enhanced echocardiography are of critical importance for diagnosis and family screening of NVM.

The reflection carried out in this manuscript concerns the construction of prototypes hybrid solitary waves, solutions (2+1)-dimensional complex Ginzburg-Landau equation. principle consists injecting into equation to be solved an ansatz that one would like solution, and its analytical sequence results from a combination sequences classical waves.
 Then, constraints imposed by resolution al...

In this paper, a new technique for hiding the data of images has been proposed. This method uses 3-dimentional discrete cosine transformation scheme, along with 2-dimentional discrete cosine transformation. The method proposed in this paper hides two target images behind one cover image thereby increasing the data hiding capacity greatly. For the cause of security only the final stego-image is ...

We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing evolution beam intensity is derived thereby which allows us to examine whether traveling-waves exist such material. An efficient transformation applied obtain explicit solutions envelope model presence all material parameters. find that vari...

In this work we consider a one-dimentional cutting stock problem in which the non-used material in the cutting patterns may be used in the future, if large enough. This feature introduces difficulties in comparing solutions of the cutting problem, for example, up to what extent a minimum leftover solution is the most interesting one when the leftover may be used? Some desirable characteristics ...

In tracking systems using phased array antenna, the adaptive-gain CX-P tracker combined with circular prediction has been proposed for maneuvering targets. However, tracking quality of the circular prediction filter degrades for highly maneuvering targets that continue to change the turning plane, since the circular prediction is calculated on the assumption that a target flies on the same plan...