Research Output per year

## Personal profile

### Education/Academic qualification

Mechanical Engineering, MS, Northwestern University

Applied Mathematics, PhD, Northwestern University

Mechanical Engineering, BS, Rice University

### Research interests

- Anomalous diffusion
- Bifurcation theory
- Fluid mechanics
- Integral equations
- Mathematical finance
- Reaction-diffusion processes
- Shear localization
- Singular perturbations

## Fingerprint Dive into the research topics where W Edward Olmstead is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Integral equations
Engineering & Materials Science

Blow-up
Mathematics

Shear bands
Engineering & Materials Science

Integral Equations
Mathematics

Volterra Equation
Mathematics

Shear Bands
Mathematics

Singularly Perturbed
Mathematics

Blow-up Solution
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1962 2018

## Thermal blow-up in a finite strip with superdiffusive properties

Kirk, C. M. & Olmstead, W. E., Aug 1 2018, In : Fractional Calculus and Applied Analysis. 21, 4, p. 949-959 11 p.Research output: Contribution to journal › Article

Blow-up

Strip

Boundary conditions

Localized Source

Nonlinear Source

## Local and nonlocal boundary quenching in a subdiffusive medium

Kirk, C. M. & Olmstead, W. E., Dec 1 2016, In : Dynamic Systems and Applications. 25, 4, p. 479-492 14 p.Research output: Contribution to journal › Article

Quenching

Advection

Nonlinearity

Mathematical Model

Zero

2
Citations
(Scopus)

## Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities

Kadem, A., Kirane, M., Kirk, C. M. & Olmstead, W. E., Aug 5 2014, In : IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 79, 6, p. 1077-1088 12 p.Research output: Contribution to journal › Article

Blowing-up Solution

Fractional Differential Equation

Blow molding

Integral equations

Integral Equations

9
Citations
(Scopus)

## Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux

Kirk, C. M. & Olmstead, W. E., Mar 1 2014, In : Fractional Calculus and Applied Analysis. 17, 1, p. 191-205 15 p.Research output: Contribution to journal › Article

Nonlinear Boundary Flux

Blow-up

Fluxes

Thermal Diffusion

Neumann Condition

5
Citations
(Scopus)

## A system of nonlinear volterra equations with blow-up solutions

Kirk, C. M., Olmstead, W. E. & Roberts, C. A., Dec 1 2013, In : Journal of Integral Equations and Applications. 25, 3, p. 377-393 17 p.Research output: Contribution to journal › Article

Volterra Equation

Blow-up Solution

Nonlinear equations

Nonlinear Equations

Blow-up Time