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

Straughan, B.

doi:10.1002/mma.7082

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.

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

Volume

Issue

Pages

4999-5004

DOI

https://doi.org/10.1002/mma.7082

Files

Accepted Journal Article (110 Kb)
PDF

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.