@Article{CMR-30-2, author = {Wang, Jinhuan and Liang, Hong}, title = {Blow-up Sets to a Coupled Heat System}, journal = {Communications in Mathematical Research }, year = {2014}, volume = {30}, number = {2}, pages = {117--130}, abstract = {
This paper deals with a heat system coupled via local and localized sources subject to null Dirichlet boundary conditions. In a previous paper of the authors, a complete result on the multiple blow-up rates was obtained. In the present paper, we continue to consider the blow-up sets to the system via a complete classification for the nonlinear parameters. That is the discussion on single point versus total blow-up of the solutions. It is mentioned that due to the influence of the localized sources, there is some substantial difficulty to be overcomed there to deal with the single point blow-up of the solutions.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.02.03}, url = {https://global-sci.com/article/81744/blow-up-sets-to-a-coupled-heat-system} }