Special Session 2: Hyperbolic Partial Differential Equations and Applications

Nonlinear instability in Compressible fluids under gravity

Ronghua Pan
Georgia Institute of Technology
USA
Co-Author(s):    Xulong Qin
Abstract:
It is known in physics that steady state of compressible fluids under the influence of uniform gravity is stable if and only if the convection is absent. In the context of incompressible fluids, such instability driven by convection is the well-known Rayleigh-Taylor instability, caused heavier fluids on top of lighter fluids. For compressible flow with heat transfer, the phenomenon is much closer to real world and more complicated. We will discuss our recent progress in these topics.