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Law along the Frontier: Differential Equations and Their Boundary Conditions
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:565 - 575 (1990)
Abstract
Physicists often allow the "laws" of a discipline, formulated as partial differential equations, to be disobeyed along various surfaces, arrayed along the boundary and inside the medium under study. What kinds of considerations permit these lapses in the applicability of the equations? This paper surveys a variety of answers found in the physical literature.My notes
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Citations of this work
Violated Laws, Ceteris Paribus Clauses, and Capacities.Sheldon Smith - 2002 - Synthese 130 (2):235-264.
The philosophical underpinning of the absorber theory of radiation.Marco Forgione - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:91-106.
Continuous Bodies, Impenetrability, and Contact Interactions: The View from the Applied Mathematics of Continuum Mechanics.Sheldon R. Smith - 2007 - British Journal for the Philosophy of Science 58 (3):503-538.
Universal regularities and initial conditions in Newtonian physics.James W. Mcallister - 1999 - Synthese 120 (3):325-343.
Initial Conditions and the 'Open Systems' Argument against Laws of Nature.Clint Ballinger - 2008 - Metaphysica 9 (1):17-31.
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