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We introduce a new regularization of the rotational Navier-Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution type model, studied by B...
We report the observation of changes in the wave turbulence properties of gravity-capillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wav...
1-D scalar conservation laws with convex flux and Markov initial data are now known to yield a completely integrable Hamiltonian system. In this article, we rederive the analogue of Loitsiansky’s in...
We present a search for conformal invariance in vorticity isolines of two-dimensional compressible turbulence. The vorticity is measured by tracking the motion of particles that float at the surface ...
We discuss on an example a general mechanism of apparition of anomalous scaling in scale invariant systems via zero modes of a scale invariant operator. We discuss the relevance of such mechanism in t...
The Lagrangian dynamics of the velocity gradient tensor A in isotropic and homogeneous turbulence depend on the joint action of the self-streching term and the pressure Hessian. Existing closures for ...
The decay of kinetic helicity is studied in numerical models of forced turbulence using either an externally imposed forcing function as an inhomogeneous term in the equations or, lternatively, a term...
The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain.
Rossby wave turbulence, as modelled by the Charney-Hasegawa-Mima (CHM) equation, is nonlo- cal in scale. As a result, the formal stationary Kolmogorov-Zakharov solutions of the Rossby wave kinetic eq...
Spectrum is the most valuable resource in the communication system, but unfor-tunately, so far, a half of the spectrum has been wasted, that is negative frequency spectrum.
Steady-state turbulence is generated in a tank of water and the trajectories of particles forming a compressible system on the surface are tracked in time. The initial uniformly distributed floating p...
We shall study a turbulence model arising in compressible fluid mechanics.The model called θ − ϕ we study is closely related to the k − ε model. We shall establish existence, positivi...
We discuss averaged turbulence modeling of multi-scales of length for an incompressible Newtonian fluid, with the help of the maximum information principle. We suppose that there exists a function bas...
There are two types of 3D shears in channel flows: (U(y, z), 0, 0)and (U(y), 0,W(y)). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I...
In this paper we continue the analytical study of the sabra shell model of energy turbulent cascade initiated in [11]. We prove the global existence of weak solutions of the inviscid sabra shell model...

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