@Article{CMR-28-3, author = {Sun, Peng and Wenjie, Gao and Yuzhu, Han}, title = {Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source}, journal = {Communications in Mathematical Research }, year = {2012}, volume = {28}, number = {3}, pages = {243--251}, abstract = {

This paper is devoted to the blow-up properties of solutions to the porous medium equations with a nonlocal boundary condition and a moving localized source. Conditions for the existence of global or blow-up solutions are obtained. Moreover, we prove that the unique solution has global blow-up property whenever blow-up occurs.

}, issn = {2707-8523}, doi = {https://doi.org/2012-CMR-19047}, url = {https://global-sci.com/article/81837/blow-up-of-solutions-to-porous-medium-equations-with-a-nonlocal-boundary-condition-and-a-moving-localized-source} }