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Volume 28, Issue 3
Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source

Peng Sun, Wenjie Gao & Yuzhu Han

Commun. Math. Res., 28 (2012), pp. 243-251.

Published online: 2021-05

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  • 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.

  • Keywords

blow-up, moving localized source, nonlocal boundary condition, global blow-up.

  • AMS Subject Headings

35K55, 35K57, 35K60, 35K65

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-243, author = {Peng and Sun and and 18524 and and Peng Sun and Wenjie and Gao and and 18525 and and Wenjie Gao and Yuzhu and Han and and 18526 and 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 = {2021}, 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/}, url = {http://global-sci.org/intro/article_detail/cmr/19047.html} }
TY - JOUR T1 - Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source AU - Sun , Peng AU - Gao , Wenjie AU - Han , Yuzhu JO - Communications in Mathematical Research VL - 3 SP - 243 EP - 251 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19047.html KW - blow-up, moving localized source, nonlocal boundary condition, global blow-up. AB -

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.

Peng Sun, Wenjie Gao & Yuzhu Han. (2021). Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source. Communications in Mathematical Research . 28 (3). 243-251. doi:
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