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
- Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Alexander A. Kovalevsky, Francesco Nicolosi, On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Fatima Fennour, Soumia Saïdi, On a class of evolution problems driven by maximal monotone operators with integral perturbation , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Fabrizio Cuccu, Petar Popivanov, Giovanni Porru, Estimates for solutions to nonlinear degenerate elliptic equations , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Svetlin Georgiev, Mohamed Majdoub, Two nonnegative solutions for two-dimensional nonlinear wave equations , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Mohsen Razzaghi, Hamid-Reza Marzban, Hybrid Functions in the Calculus of Variations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- M.O Korpusov, A. G. Sveschnikov, On blowing-up of solutions of Sobolev-type equation with source , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): 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
