IMA Volumes 135: Transport in Transition
Regimes and 136: Dispersive Transport Equations
and Multiscale Models, focus on the modeling of
processes for which transport is one of the most
complicated components. This includes processes that
involve a wide range of length scales over different
spatio-temporal regions of the problem, ranging from the
order of mean-free paths to many times this scale.
Consequently, effective modeling techniques require
different transport models in each region.
The first issue is that of finding efficient simulations
techniques, since a fully resolved kinetic simulation is
often impractical. One therefore develops homogenization,
stochastic, or moment based subgrid models.
Another issue is to quantify the discrepancy between
macroscopic models and the underlying kinetic description,
especially when dispersive effects become macroscopic, for
example due to quantum effects in semiconductors and
superfluids.
These two volumes address these questions in relation to
a wide variety of application areas, such as
semiconductors, plasmas, fluids, chemically reactive gases,
etc.
Contributors : About 40 authors
Contents
- BGK-Burnett equations: A new set of second-order
hydrodynamic equations for flows in continuum-transition
regime
- Steady states for Streater's energy-transport models of
self-gravitating particles
- Towards a hybrid Monte-Carlo method for rarefied gas
dynamics
- Comparison of Monte Carlo and deterministic simulations
of a silicon diode
- Discrete-velocity models for numerical simulations in
transitional regime for rarefied flows and radiative
transfer
- Some recent results on the kinetic theory of phase
transitions
- Fluids with multivalued internal energy: The
anisotropic case
- A note on the energy-transport limit of the
semiconductor Boltzmann equation
- Generalized hydrodynamics and irreversible
thermodynamics
- A steady- state capturing method for hyperbolic systems
with geometrical source terms
- Maximum entropy moment problems and extended Euler
equations
- Numerical methods for radiative heat transfer in
diffusive regimes and applications to glass
manufacturing
- Hydrodynamic limits of the Boltzmann equation
- Sobolev norm and carrier transport in
semiconductors
- The evolution of a gas in a radiation field from a
kinetic point of view
- Hybrid particle-based approach for the simulation of
semiconductor devices : The full-band cellular automaton /
Monte Carlo method
- Some remarks on the equations of Burnett and Grad
- Boundary conditions and boundary layers for a class of
linear relaxations systems in a quarter plane
- Combined list of workshops participants for IMA volumes
135 and 136