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2018 A new blow-up criterion for non-Newton filtration equations with special medium void
Yuzhu Han
Rocky Mountain J. Math. 48(8): 2489-2501 (2018). DOI: 10.1216/RMJ-2018-48-8-2489

Abstract

This paper deals with the finite time blow-up of solutions to the initial boundary value problem of a non-Newton filtration equation with special medium void. A new criterion for the solutions to blow up in finite time is established by using the Hardy inequality. Moreover, the upper and lower bounds for the blow-up time are also estimated. The results solve an open problem proposed by Liu in 2016.

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Yuzhu Han. "A new blow-up criterion for non-Newton filtration equations with special medium void." Rocky Mountain J. Math. 48 (8) 2489 - 2501, 2018. https://doi.org/10.1216/RMJ-2018-48-8-2489

Information

Published: 2018
First available in Project Euclid: 30 December 2018

zbMATH: 1403.35122
MathSciNet: MR3894990
Digital Object Identifier: 10.1216/RMJ-2018-48-8-2489

Subjects:
Primary: 35K20, 35K59

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 8 • 2018
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