On the energy exchange between resonant modes in nonlinear Schrödinger equations

• To propose a direct and “elementary” proof of the main result of [3], namely that the semi-classical spectrum near a global minimum of the classical Hamiltonian determines the

They are entirely devoted to the initial value problem and the long-time behavior of solutions for the two-dimensional incompressible Navier–Stokes equations, in the particular

« inverse scattering problem » -, and existence and uniqueness for pairs in 1/, given the reflection coefficient to the right in e..

2.4. In this section we seek to solve the existence question for the inverse scattering problem. Our method of solution is explained in paragraph 3.2 and developed

First we prove trilinear Strichartz estimates for the linear Schrödinger group on the product manifold S ρ 2 × S 1 and then we show that Theorem 1 holds for any three

qu'il y a diffusion de l'énergie parmi les ions Gd3+ et piégeage par des impuretés à haute température et par des ions G d 3 + perturbés à basse

As it is known [15, 16, 19] this phenomenology is exact in the low temperature limit of the continuum models and the results of Trullinger and Sasaki [21] and those of the present

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