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

Straughan, B. (2021) 'Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time.', Mathematical methods in the applied sciences., 44 (6). pp. 4999-5004.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1002/mma.7082
Publisher 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.
Date accepted:16 November 2020
Date deposited:08 February 2021
Date of first online publication:03 December 2020
Date first made open access:03 December 2021

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