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Phragm\’{e}n-Lindel\”{o}f alternative results in time-dependent double-diffusive Darcy plane flow
  • Yuanfei Li,
  • Xuejiao Chen
Yuanfei Li
Guangzhou Huashang College

Corresponding Author:[email protected]

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Xuejiao Chen
Guangzhou Huashang College
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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