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W Edward Olmstead

  • 741 Citations
1962 …2018
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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.

  • 1 Similar Profiles
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

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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