Blow-Up Phenomena for a Non-Newton Filtration Equation with Local Linear Boundary Dissipation

Xinru Zhou () and Dengming Liu
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Xinru Zhou: School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China
Dengming Liu: School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China

Mathematics, 2024, vol. 12, issue 13, 1-14

Abstract: In this article, we consider the finite time blow-up phenomenon for a class of non-Newton filtration equations with local linear boundary dissipation. Using a modified concavity method, the sufficient condition for the finite time blow-up is given. Furthermore, we obtain the result of the blow-up solution with arbitrary high initial energy. Meanwhile, the upper and lower estimates of the blow-up time are discussed.

Keywords: blow-up; non-Newton filtration equation; local linear boundary dissipation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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