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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 = {Sun , PengGao , Wenjie and Han , Yuzhu}, 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.

Sun , PengGao , Wenjie and Han , Yuzhu. (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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