"On the Coupled Continuum Pipe Flow Model (CCPF) for Flows in Karst Aqu" by Xiaoming Wang
 

On the Coupled Continuum Pipe Flow Model (CCPF) for Flows in Karst Aquifer

Abstract

We show that the coupled continuum pipe flow model (CCPF) for flows in karst aquifers is ill-posed in the sense that no reasonable solution exists. We also demonstrate that Hua's modified CCPF model is ill-posed in 3D although it is well-posed in two spatial dimensions. a new modification of the original CCPF model that is consistent with basic physics is proposed and its well-posedness is proved here. We believe that this is the first physically relevant well-posed CCPF type model in 3D.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Conduit Flow Process (CFP); Existence of Solution; Hua's Modified CCPF Model; Karst Aquifer; Original and Modified Coupled Continuum Pipe-Flow Model (CCPF)

International Standard Serial Number (ISSN)

1531-3492

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 American Institute of Mathematical Sciences (AIMS), All rights reserved.

Publication Date

01 Mar 2010

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