Phragm\’{e}n-Lindel\”{o}f alternative
results in time-dependent double-diffusive Darcy plane flow
- Yuanfei Li
, - Xuejiao Chen
Abstract
This paper investigates the spatial behavior of the solutions of the
double-diffusive Darcy plane flow in a semi-infinite channel. Using the
energy estimate method and the differential inequality technology, a
differential inequality about the solutions is derived. By solving this
differential inequality, it is proved that the solutions grow
polynomially or decay exponentially with spatial variable. In the case
of decay, we obtain the upper bound for the total energy. We also give
some remarks to generalize the results of this paper.02 Sep 2021Submitted to Mathematical Methods in the Applied Sciences 02 Sep 2021Submission Checks Completed
02 Sep 2021Assigned to Editor
20 Sep 2021Reviewer(s) Assigned
25 Oct 2021Review(s) Completed, Editorial Evaluation Pending
12 Nov 2021Editorial Decision: Revise Major
16 Nov 20211st Revision Received
16 Nov 2021Assigned to Editor
16 Nov 2021Submission Checks Completed
20 Dec 2021Reviewer(s) Assigned
18 Jan 2022Review(s) Completed, Editorial Evaluation Pending
18 Feb 2022Editorial Decision: Revise Minor
20 Feb 20222nd Revision Received
21 Feb 2022Assigned to Editor
21 Feb 2022Submission Checks Completed
22 Feb 2022Review(s) Completed, Editorial Evaluation Pending
22 Feb 2022Editorial Decision: Accept
