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W Edward Olmstead

  • 765 Citations
1962 …2018

Research output per year

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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

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

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Research Output

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

    • 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

    • 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

    • 4 Scopus citations

    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

    • 9 Scopus citations

    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

    • 5 Scopus citations