The growing presence of Spark Ignition Direct Injection (SIDI) engines along with the prevalence of direct injected Compression Ignition (CI) engines results in the requirement of Particulate Matter (PM) exhaust abatement. This occurs through the implementation of Gasoline Particulate Filters (GPFs) and Diesel Particulate Filters (DPFs). Modeling of GPFs and DPFs are analogous because of the si...

In this paper, we study the asymptotic behavior of the circularly symmetric solution to the initial boundary value problem of the compressible non-isentropic Navier-Stokes equations in a two-dimensional exterior domain with impermeable boundary condition when the viscosities and the heat conduction coefficient tend to zero. By multi-scale analysis, we obtain that away from the boundary the comp...

While flamelet-based progress variable models have matured to production-level in recent years for incompressible flows, little development toward compressible formulations of the flamelet model has ensued. For supersonic and hypersonic flows exhibiting combustion, an applicable flamelet-based combustion model must reflect the compressible nature of the flow, the tight coupling of the flow and ...

A new result for stability of Markov semigroups is presented. We apply this result to the equation of the passive tracer in a compressible random flow showing that the velocity of a particle converges weakly to some random vector.

Here we carry out computations that help clarify the La-grangian and Hamiltonian structure of compressible flow. The intent is to be pedagogical and rigorous, providing concrete examples of the the