Asymptotic behavior of solutions to coupled porous medium systems with boundary degeneracy

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dc.contributor.authorZhao, Xutong
dc.contributor.authorZhou, Mingjun
dc.contributor.authorZhou, Qian
dc.date.accessioned2023-05-15T18:49:51Z
dc.date.available2023-05-15T18:49:51Z
dc.date.issued2022-10-28
dc.description.abstractThis article concerns the asymptotic behavior of solutions of one-dimensional porous medium systems with boundary degeneracy in bounded and unbounded intervals. It is shown that the degree of the boundary degeneracy and the exponent of the nonlinear diffusion determine asymptotic behaviors of solutions. For the problem in a bounded interval, if the degeneracy is not strong, the problem admits both nontrivial global and blowing-up solutions, while if the degeneracy is strong enough, any nontrivial solution to the problem must blow up in a finite time. For the problem in an unbounded interval, the Fujita type blowing-up theorems are established and the critical Fujita exponent is formulated by the degree of the boundary degeneracy and the exponent of nonlinear diffusion.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhao, X., Zhou, M., & Q. Zhou (2022). Asymptotic behavior of solutions to coupled porous medium systems with boundary degeneracy. <i>Electronic Journal of Differential Equations, 2022</i>(73), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16797
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPorous medium equation
dc.subjectBoundary degeneracy
dc.subjectAsymptotic behavior
dc.titleAsymptotic behavior of solutions to coupled porous medium systems with boundary degeneracy
dc.typeArticle

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