Title
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.
Recommended Citation
X. Wang, "On the Coupled Continuum Pipe Flow Model (CCPF) for Flows in Karst Aquifer," Discrete and Continuous Dynamical Systems - Series B, vol. 13, no. 2, pp. 489 - 501, American Institute of Mathematical Sciences (AIMS), Mar 2010.
The definitive version is available at https://doi.org/10.3934/dcdsb.2010.13.489
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
