Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness

T.L. Noorden, van; I.S. Pop; M. Röger

doi:10.3934/proc.2007.2007.1013

Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness

T.L. Noorden, van
, I.S. Pop
, M. Röger

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

Samenvatting

In this note we continue the analysis of the pore-scale model for crystal dissolution and precipitation in porous media proposed in [C. J. van Duijn and I. S. Pop, Crystal dissolution and precipitation in porous media: pore scale analysis, J. Reine Angew. Math. 577 (2004), 171–211]. There the existence of weak solutions was shown. We prove an L1-contraction property of the pore-scale model. As a direct consequence we obtain the uniqueness of (weak) solutions.

Originele taal-2	Engels
Titel	Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France
Redacteuren	B. Belinskiy
Uitgeverij	American Institute of Mathematical Sciences
Pagina's	1013-1020
Volume	supplement
DOI's	https://doi.org/10.3934/proc.2007.2007.1013
Status	Gepubliceerd - 2007

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10.3934/proc.2007.2007.1013

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Noorden, van, T. L., Pop, I. S., & Röger, M. (2007). Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness. In B. Belinskiy (editor), Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France (Vol. supplement, blz. 1013-1020). American Institute of Mathematical Sciences. https://doi.org/10.3934/proc.2007.2007.1013

Noorden, van, T.L. ; Pop, I.S. ; Röger, M. / Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness. Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France. redacteur / B. Belinskiy. Vol. supplement American Institute of Mathematical Sciences, 2007. blz. 1013-1020

@inproceedings{a2e3747b36464192812fac2f5cdc1d6c,

title = "Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness",

abstract = "In this note we continue the analysis of the pore-scale model for crystal dissolution and precipitation in porous media proposed in [C. J. van Duijn and I. S. Pop, Crystal dissolution and precipitation in porous media: pore scale analysis, J. Reine Angew. Math. 577 (2004), 171–211]. There the existence of weak solutions was shown. We prove an L1-contraction property of the pore-scale model. As a direct consequence we obtain the uniqueness of (weak) solutions.",

author = "\{Noorden, van\}, T.L. and I.S. Pop and M. R{\"o}ger",

year = "2007",

doi = "10.3934/proc.2007.2007.1013",

language = "English",

volume = "supplement",

pages = "1013--1020",

editor = "B. Belinskiy",

booktitle = "Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France",

publisher = "American Institute of Mathematical Sciences",

address = "United States",

}

Noorden, van, TL, Pop, IS & Röger, M 2007, Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness. in B Belinskiy (reds.), Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France. vol. supplement, American Institute of Mathematical Sciences, blz. 1013-1020. https://doi.org/10.3934/proc.2007.2007.1013

Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness. / Noorden, van, T.L.; Pop, I.S.; Röger, M.
Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France. reds. / B. Belinskiy. Vol. supplement American Institute of Mathematical Sciences, 2007. blz. 1013-1020.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness

AU - Noorden, van, T.L.

AU - Pop, I.S.

AU - Röger, M.

PY - 2007

Y1 - 2007

N2 - In this note we continue the analysis of the pore-scale model for crystal dissolution and precipitation in porous media proposed in [C. J. van Duijn and I. S. Pop, Crystal dissolution and precipitation in porous media: pore scale analysis, J. Reine Angew. Math. 577 (2004), 171–211]. There the existence of weak solutions was shown. We prove an L1-contraction property of the pore-scale model. As a direct consequence we obtain the uniqueness of (weak) solutions.

AB - In this note we continue the analysis of the pore-scale model for crystal dissolution and precipitation in porous media proposed in [C. J. van Duijn and I. S. Pop, Crystal dissolution and precipitation in porous media: pore scale analysis, J. Reine Angew. Math. 577 (2004), 171–211]. There the existence of weak solutions was shown. We prove an L1-contraction property of the pore-scale model. As a direct consequence we obtain the uniqueness of (weak) solutions.

U2 - 10.3934/proc.2007.2007.1013

DO - 10.3934/proc.2007.2007.1013

M3 - Conference contribution

VL - supplement

SP - 1013

EP - 1020

BT - Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France

A2 - Belinskiy, B.

PB - American Institute of Mathematical Sciences

ER -

Noorden, van TL, Pop IS, Röger M. Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness. In Belinskiy B, redacteur, Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France. Vol. supplement. American Institute of Mathematical Sciences. 2007. blz. 1013-1020 doi: 10.3934/proc.2007.2007.1013

Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness

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