Richard A. Handelsman

Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation

The title problem is posed as a linear heat equation in one space dimension

Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations

(x > 0)

Asymptotic expansion of a class of integral transforms with algebraically dominated kernels

and time

Uniform asymptotic expansions of integrals that arise in the analysis of precursors

(t > 0)

Asymptotic expansion of a class of integral transforms via Mellin transforms

, with a nonlinear radiative-type boundary condition on the surface

Uniform asymptotic expansions of double integrals

(x = 0)

Asymptotic Expansion of Laplace Convolutions for Large Argument and Tail Densities for Certain Sums of Random Variables

. Existence and uniqueness of a nonnegative solution are shown by a simple, constructive method which leads to some useful bounds. The asymptotic behavior

Analysis of a nondegenerate decay system

(t \to \infty )

Singular Perturbation Analysis of a Certain Volterra Integral Equation

is investigated by a formal expansion scheme. For the case in which the nonlinear boundary condition has an asymptotic power law form, a complete description of the asymptotic behavior is provided. Conservation of flux at the surface

Multidimensional Stationary Phase an Alternative Derivation

(x = 0)