Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time

Straughan, B.

doi:10.1002/mma.7082

Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time

Straughan, B.

Authors

B. Straughan

Abstract

We show that the solution to the Brinkman–Darcy–Kelvin–Voigt equations backward in time depends Hölder continuously upon the final data. A logarithmic convexity technique is employed, and uniqueness of the solution is simultaneously achieved.

Citation

Straughan, B. (2021). Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time. Mathematical Methods in the Applied Sciences, 44(6), 4999-5004. https://doi.org/10.1002/mma.7082

Journal Article Type	Article
Acceptance Date	Nov 16, 2020
Online Publication Date	Dec 3, 2020
Publication Date	Mar 4, 2021
Deposit Date	Feb 8, 2021
Publicly Available Date	Dec 3, 2021
Journal	Mathematical Methods in the Applied Sciences
Print ISSN	0170-4214
Electronic ISSN	1099-1476
Publisher	Wiley
Peer Reviewed	Peer Reviewed
Volume	44
Issue	6
Pages	4999-5004
DOI	https://doi.org/10.1002/mma.7082

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Copyright Statement
This is the peer reviewed version of the following article: Straughan, B. (2021). Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time. Mathematical Methods in the Applied Sciences 44(6): 4999-5004., which has been published in final form at https://doi.org/10.1002/mma.7082. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.