A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution
-
C.M. Kirk
ckirk@calpoly.edu
Downloads
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.
Keywords
Similar Articles
- M. H. Saleh, S. M. Amer, M. H. Ahmed, The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert Kernel , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Svetlin G. Georgiev, Khaled Zennir, New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop, Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Vadim N. Biktashev, Envelope equations for modulated non-conservative waves , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Wael Abdelhedi, Minkowski type inequalities for a generalized fractional integral , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Miklos N. Szilagyi, N-Person Prisoners' Dilemmas , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Abdelouaheb Ardjouni, Ahcene Djoudi, Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Bruno Costa, Spectral Methods for Partial Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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.
Issue
Section
Articles
