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A Diffusion Problem with Gradient Constraint

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Mathematical Models for Phase Change Problems

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 88))

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Abstract

Consider the heat equation

$${u_t} + \nabla \cdot \vec q = \beta $$
((1))

, where u denotes the temperature (u t = ∂u/∂t),

$$\vec q$$

denotes the heat flux (∇· = div) and ß is an external source of heat.

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References

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Author information

Authors and Affiliations

  1. Área De Matemática, Universidade do Minho, Largo Carlos Amarante, 4700, Braga, Portugal

    Lisa Santos

Authors
  1. Lisa Santos
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Editor information

Editors and Affiliations

  1. Centro de Matemática e Aplicaçōes Fundamentais/INIC, Av. Prof. Gama Pinto, 2, 1699, Lisboa Codex, Portugal

    José Francisco Rodrigues

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© 1989 Birkhäuser Verlag Basel

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Santos, L. (1989). A Diffusion Problem with Gradient Constraint. In: Rodrigues, J.F. (eds) Mathematical Models for Phase Change Problems. International Series of Numerical Mathematics, vol 88. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9148-6_20

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  • DOI: https://doi.org/10.1007/978-3-0348-9148-6_20

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9926-0

  • Online ISBN: 978-3-0348-9148-6

  • eBook Packages: Springer Book Archive

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