11 citations · 14 across the 7 of their papers we have counts for
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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…
math-ph2018
On the energy cascade of 3-wave kinetic equations: Beyond Kolmogorov-Zakharov solutions
Avy Soffer, Minh-Binh Tran
In weak turbulence theory, the Kolmogorov-Zakharov spectra is a class of time-independent solutions to the kinetic wave equations. In this paper, we construct a new class of time-d…