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
- Ernest Yankson, Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Fritz Gesztesy, Isaac Michael, Michael M. H. Pang, Optimality of constants in power-weighted Birman–Hardy–Rellich-Type inequalities with logarithmic refinements , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Ajay Kumar, Ekta Tamrakar, Inertial algorithm for solving split inclusion problem in Banach spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Paul W. Eloe, Jeffrey T. Neugebauer, Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Edoardo Ballico, Osculating varieties and their joins: \(\mathbb{P}^1\times \mathbb{P}^1\) , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Raymond Mortini, A nice asymptotic reproducing kernel , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
<< < 16 17 18 19 20 21 22 23 > >>
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
