Singularities in the weak turbulence regime for the quintic Schrödinger equation

The notion of entropy solutions provides a well-posedness theory for the Cauchy problem for the fractional conservation law (1.1); the results are very similar to the ones for

It is shown that by considering the effect of both the gravity dominated and surface tension dominated parts of the spectrum together, one can build a consistent picture of

In Section 6 we give sharp upper and lower bounds for the dissipation length scale, the structure functions and the energy spectrum for the ow u(t, x) , which hold uniformly for ν ≤ ν

In this article, we study the convergence of the distributions of numerical approximations of the solutions of the solutions of a large class of linear parabolic stochastic

En comparant les efforts de coupe enregistrés lors de l’usinage suivant la direction parallèle aux fibres dans les deux matériaux bio-composites (Figure 55), il est clairement

In order to show the two-point energy budget in physical space, two DNS cases of homogeneous isotropic turbulence with spectral method are used for A Priori test.. The

Elle n’était pas très loin, mais nous étions séparés par le vide entre le monticule et les murs du château, car c’est bien de là qu’elle m’appelait : elle

We have seen what the wave function looks like for a free particle of energy E – one or the other of the harmonic wave functions – and we have seen what it looks like for the