Finite-time collapse and localized states in the dynamics of dissipative gases.
A study of the gas dynamics of a dilute collection of the inelastically colliding hard spheres is presented. When diffusive processes are neglected the gas density blows up in a finite time. The blowup is the mathematical expression for one of the possible mechanisms for cluster formation in dissipative gases. The way diffusive processes smooth the singularity has been studied. Exact localized states of the gas when heat diffusion balances nonlinear cooling are obtained. The presented results generalize previous findings for planar flows.
Fouxon
Itzhak
I
Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel.