Random porous media flow on large 3-D grids: Numerics, performance, and application to homogenization.- Modeling transport phenomena in porous media.- Modelling of compositional flow in naturally fractured reservoirs.- A particle-grid air quality modeling approach.- On the equilibrium equations of poro-elasticity.- Eulerian-Lagrangian localized adjoint methods for reactive transport in groundwater.- Stochastic modeling of rainfall.- Incorporating model uncertainty into spatial predictions.- Models for flow and transport through porous Media derived by homogenization.- Global surface temperature changes since the 1850s.- A multicomponent self-similar characterization of rainfall fluctuations.- Estimation of kinetic rate coefficients for 2,4-D biodegradation during transport in soil columns.- Modeling in nuclear waste isolation: Approximate solutions for flow in unsaturated porous media.- Similarity solutions for gravity-dominated spreading of a lens of organic contaminant.- Application of optimal data assimilation techniques in oceanography.- Mathematical physics of infiltration on flat and sloping topography.- A note concerning multivariate total positivity on the simplex.- Spatial analysis for environmental studies.- On diagonalization of coupled hydrologic transport and geochemical reaction equations.
Environmental protection has become a universal issue with world-wide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and large-scale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field.
This IMA volume addresses recent advances in the formulation and application of environmental models, environmental data and assimilation, stochastic modeling and optimization, global climate modeling.