Dispersive Transport Equations and Multiscale Models

IMA Volumes 135 and 136 focus on mathematical and computational issues involved in modelling processes that contain a wide range of length scales over different spatio-temporal regimes. The papers in these two volumes address applications such as semiconductors, plasmas, fluids, chemically reactive gases and more.

On the derivation of nonlinear Schrödinger and Vlasov equations.- Taking on the multiscale challenge.- Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system.- Integrated multiscale process simulation in microelectronics.- Constitutive relations for viscoleastic fluid models derived from kinetic theory.- Dispersive/hyperbolic hydrodynamic models for quantum transport (in semiconductor devices).- A review on small debye length and quasi-neutral limits in macroscopic models for charged fluids.- Global solution of the Cauchy problem for the relativistic Vlasov-Poisson equation with cylindrically symmetric data.- Mesoscopic scale modeling for chemical vapor deposition in semiconductor manufacturing.- Asymptotic limits in macroscopic plasma models.- A Landau-Zener formula for two-scaled Wigner measures.- Mesoscopic modeling of surface processes.- Homogenous and heterogeneous models for silicon oxidation.- Feature-scale to wafer-scale modeling and simulation of physical vapor deposition.- WKB analysis in the semiclassical limit of a discrete NLS system.- Bifurcation analysis of cylindrical Couette flow with evaporation and condensation by the Boltzmann equation.- Magnetic instability in a collisionless plasma.- Combined list of workshops participants for IMA volumes 135: transport in transition regimes and 136: dispersive transport equations and multiscale models.