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cond-mat.quant-gas2019
Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework
Minh-Binh Tran, Yves Pomeau
Starting from the Bogoliubov diagonalization for the Hamiltonian of a weakly interacting Bose gas under the presence of a Bose-Enstein Condensate, we derive the kinetic equation fo…
math-ph2019
On shock waves from the inhomogeneous Boltzmann equation
Yves Pomeau, Minh-Binh Tran
We revisit the problem on the inner structure of shock waves in simple gases modelized by the Boltzmann kinetic equation. In \cite{pomeau1987shock}, a self-similarity approach was…
math-ph2019
On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
Sergey Nazarenko, Avy Soffer, Minh-Binh Tran
We derive a new kinetic and a porous medium equations from the nonlinear Schrödinger equation with random potentials. The kinetic equation has a very similar form with the 4-wave t…