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About Fluid Mechanics, Models, and Realism: Philosophy at the Boundaries of Fluid Systems
One important result of this work is a resurgence of interest in the relationship between the differential equations that express mechanical laws and the boundary conditions that constrain the solutions to those equations. However, many of these accounts miss a crucial set of distinctions between the roles of mathematical boundary conditions modeling physical systems, and the roles of physical conditions at the boundary of the modeled system. In light of this systematic oversight, in this dissertation I show that there is a difference between boundary conditions and conditions at the boundary. I use that distinction to investigate the roles of boundary conditions in the models of fluid mechanics. I argue that boundary conditions are in some cases more lawlike than previously supposed, and that they can play unique roles in scientific explanations.
Detailed Information
Author: | Jeffrey Michael Sykora |
---|---|
Publication Year: | 2019 |
Pages: | 183 |
Language: | other |
File Size: | 0.8835 |
Format: | |
Price: | FREE |
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