Stability of periodic progressive gravity wave solutions of the Whitham equation in the presence of vorticity

Thanks to the de BROGLIE wave, we have learned to relate the kinematic properties of a point particle to the exact solutions of the DIRAC equation which express the

Next, we examine the effect of the phases proportion (or volume constraint G v ) upon the estimated upper bound on the parameters α and β of the dispersive tensor. Figure 18 shows

After verifying that the Serre system has dispersive shock waves that are comparable with the full Euler equations, we examine the interactions of simple DSWs starting with the

where v is the velocity vector of the fluid, u is the fluid velocity with respect to the shock wave, T is the temperature, s is the specific entropy, the indices tg and n indicate

It is shown that plane wave solutions to the cubic nonlinear Schr¨ odinger equa- tion on a torus behave orbitally stable under generic perturbations of the initial data that are

In fact in this case, the metric is induced by the inertia operator Λ := HD (with respect to the L 2 inner product on the tangent bundle).. Moreover, we present a thorough study of

The purpose of the present paper is twofold: (i) to revisit the problem of two-dimensional gravity-capillary waves of solitary type on deep water when the effect of an

We complete the result in [2] by showing the exponential decay of the perturbation of the laminar solution below the critical Rayleigh number and of the convective solution above