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Free Boundary Problems pp 179–188Cite as

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A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves

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Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 154))

Abstract

We consider an evolution model describing the vertical movement of water and salt in a domain split in two parts: a water reservoir and a saturated porous medium below it, in which a continuous extraction of fresh water takes place (by the roots of mangroves). The problem is formulated in terms of a coupled system of partial differential equations for the salt concentration and the water flow in the porous medium, with a dynamic boundary condition which connects both subdomains.

We study the existence and uniqueness of solutions, the stability of the trivial steady state solution, and the conditions for the root zone to reach, in finite time, the threshold value of salt concentration under which mangroves may live.

Supported by the Spanish DGI Project MTM2004-05417 and by the European RTN Contract HPRN-CT-2002-00274.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Oviedo, c/ Calvo Sotelo s/n, E-33007, Oviedo, Spain

    Gonzalo Galiano & Julián Velasco

Authors
  1. Gonzalo Galiano
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  2. Julián Velasco
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Editor information

Editors and Affiliations

  1. Departamento de Matemática Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Apartado 3008, 3001-454, Coimbra, Portugal

    Isabel Narra Figueiredo

  2. Universidade de Lisboa / CMAF, Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal

    José Francisco Rodrigues

  3. Departamento de Matemática, Universidade do Minho, Campus de Gualtar, 4710-057, Braga, Portugal

    Lisa Santos

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Galiano, G., Velasco, J. (2006). A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves. In: Figueiredo, I.N., Rodrigues, J.F., Santos, L. (eds) Free Boundary Problems. International Series of Numerical Mathematics, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7719-9_18

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