A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution
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C.M. Kirk
ckirk@calpoly.edu
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Abstract
A localized heat source moves with simple periodic motion along a one-dimensional reactive-diffusive medium. Blow-up will occur regardless of the amplitude or frequency of motion. Numerical results suggest that blow-up is delayed by increasing the amplitude or by increasing the frequency of motion. A brief survey is presented of the literature concerning numerical studies of nonlinear Volterra integral equations with weakly singular kernels that exhibit blow-up solutions.
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Published
2009-08-01
How to Cite
[1]
C. Kirk, “A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution”, CUBO, vol. 11, no. 3, pp. 65–77, Aug. 2009.
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