A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and …

We generalize the streamline approach to transient pressure applications by introducing a"
diffusive" time of flight along streamlines. This allows us to define drainage areas or volumes …

An asymptotic approach to the solution of the transport equation, in the limit of rapid spatial
and temporal variation, produces an extremely efficient formalism for the inversion of tracer …

This review surveys and characterizes papers comprising various fields of heat transfer that
were published in the literature during 1994. It is intended to encompass the English …

Steady flow of incompressible fluids takes place in geological formations of spatially variable
permeability. The permeability is regarded as a stationary random space function (RSF) of …

We develop a discontinuous finite element method for advection–diffusion equations arising
in contaminant transport problems, based on the Local Discontinuous Galerkin (LDG) …

Nonlinearity plays a major role in the understanding of most physical, chemical, biological,
and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often …

In this paper, the numerical approximation of a nonlinear diffusion equation arising in
contaminant transport is studied. The equation is characterized by advection, diffusion, and …

We exploit an analogy between streamlines and seismic ray tracing to develop an efficient
formalism for integrating dynamic data into high-resolution reservoir models. Utilizing …

Numerical methods for advection‐diffusion equations are discussed based on
approximating advection using a high‐resolution upwind finite difference method, and …