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Neumann boundary condition
(section)
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===Applications=== The following applications involve the use of Neumann boundary conditions: * In [[thermodynamics]], a prescribed heat flux from a surface would serve as boundary condition. For example, a perfect insulator would have no flux while an electrical component may be dissipating at a known power. * In [[magnetostatics]], the [[magnetic field]] intensity can be prescribed as a boundary condition in order to find the [[magnetic flux density]] distribution in a magnet array in space, for example in a permanent magnet motor. Since the problems in magnetostatics involve solving [[Laplace's equation]] or [[Poisson's equation]] for the [[magnetic scalar potential]], the boundary condition is a Neumann condition. * In [[spatial ecology]], a Neumann boundary condition on a [[reaction–diffusion system]], such as [[Fisher's equation]], can be interpreted as a reflecting boundary, such that all individuals encountering {{math|∂Ω}} are reflected back onto {{math|Ω}}.<ref>{{cite book |first=Robert Stephen |last=Cantrell |first2=Chris |last2=Cosner |title=Spatial Ecology via Reaction–Diffusion Equations |location= |publisher=Wiley |year=2003 |isbn=0-471-49301-5 |pages=30–31 }}</ref>
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