18 citations · 34 across the 9 of their papers we have counts for
5 papers · 1 filter
Global Dynamics and Photon Loss in the Kompaneets Equation
Joshua Ballew, Gautam Iyer, C. David Levermore +2
The Kompaneets equation governs dynamics of the photon energy spectrum in certain high temperature (or low density) plasmas. We prove several results concerning the long-time conve…
Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation
C. David Levermore, Hailiang Liu, Robert L. Pego
The Kompaneets equation describes a field of photons exchanging energy by Compton scattering with the free electrons of a homogeneous, isotropic, non-relativistic, thermal plasma.…
Global Solutions of the Boltzmann Equation over near Global Maxwellians with Small Mass
Claude Bardos, Irene M. Gamba, François Golse +1
We study the dynamics defined by the Boltzmann equation set in the Euclidean space in the vicinity of global Maxwellians with finite mass. A global Maxwellian is a s…
Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy
Ning Jiang, C. David Levermore
Hyperbolic-parabolic systems have spatially homogenous stationary states. When the dissipation is weak, one can derive weakly nonlinear-dissipative approximations that govern pertu…
Remarks on the Acoustic Limit for the Boltzmann Equation
Ning Jiang, C. David Levermore, Nader Masmoudi
We use some new nonlinear estimates found in \cite {LM} to improve the results of \cite{GL} that establish the acoustic limit for DiPerna-Lions solutions of Boltzmann equation in t…