189 citations · 1.4k across the 48 of their papers we have counts for
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On the Theory of Weak Turbulence for the Nonlinear Schrödinger Equation
Miguel Escobedo, Juan J. L. Velázquez
We study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. We define suitable concepts of weak and mild…
On the blow up and condensation of supercritical solution of the Nordheim equation for bosons
M. Escobedo, J. J. L. Velázquez
In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons, with bounded initial, data blow up in finite time in the …
Propagation of Chaos in a Coagulation Model
Miguel Escobedo, Federica Pezzotti
A deterministic coalescing dynamics with constant rate for a particle system in a finite volume with a fixed initial number of particles is considered. It is shown that, in the the…
Classical non mass preserving solutions of coagulation equations
M. Escobedo, J. J. L. Velázquez
In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists i…
On the Fundamental Solution of a Homogeneous Linearized Coagulation Equation
M. Escobedo, J. J. L. Velazquez
In this paper we study the fundamental solution of the equation obtained by the linearisation of the Smoluchowski coagulation equation with the multiplicative kernel …
On the onset of interference effects during the formation of the Bose-Einstein condensate
M. Escobedo, J. J. L. Velazquez
In this paper we derive the equations characterizing the boundary layer which describes the transition of the distribution function of a gas of weakly interacting bosons to the dis…