Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Carole Rosier"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2022, Iss 06,, Pp 1-22 (2022)
Externí odkaz:
https://doaj.org/article/496d2bcf0b8a4c11a3eac5b721cbafb9
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 256,, Pp 1-22 (2017)
We consider a model mixing sharp and diffuse interface approaches for seawater intrusion phenomenons in confined and unconfined aquifers. More precisely, a phase field model is introduced in the boundary conditions on the virtual sharp interfaces.
Externí odkaz:
https://doaj.org/article/52553f7c8f0d48abad24fa0abaa88368
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 126,, Pp 1-27 (2015)
We study seawater intrusion problems in confined and unconfined aquifers. We compare from a mathematical point of view the sharp interface approach with the sharp-diffuse interface approach. We demonstrate that, if the diffuse interface allows to
Externí odkaz:
https://doaj.org/article/dff9bfbed3dc4356aeedcd832c13b5d5
Publikováno v:
Computational Geosciences. 25:1509-1538
The modeling of thermodynamic equilibria leads to complex nonlinear chemical systems which are often solved with the Newton-Raphson method. But this resolution can lead to a non convergence or an excessive number of iterations due to the very ill-con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9ded246ce535c7b4851349681322083
https://doi.org/10.1007/s10596-021-10054-1
https://doi.org/10.1007/s10596-021-10054-1
Autor:
Carole Rosier, Ji Li
Publikováno v:
Acta Mathematica Scientia. 40:1563-1584
This article is devoted to the identification, from observations or field measurements, of the hydraulic conductivity K for the saltwater intrusion problem in confined aquifers. The involved PDE model is a coupled system of nonlinear parabolic-ellipt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b5b60a7f101215f87b774bc85600828
https://doi.org/10.1007/s10473-020-0522-x
https://doi.org/10.1007/s10473-020-0522-x
Publikováno v:
Advances in Distributed Parameter Systems ISBN: 9783030947651
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3dbfbc9d041863942d6c98afcbd5cd9
https://doi.org/10.1007/978-3-030-94766-8_4
https://doi.org/10.1007/978-3-030-94766-8_4
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2021, 300, pp.386-425. ⟨10.1016/j.jde.2021.08.001⟩
Journal of Differential Equations, Elsevier, 2021, 300, pp.386-425. ⟨10.1016/j.jde.2021.08.001⟩
The paper is devoted to the mathematical analysis of the Cauchy problem for general cross-diffusion systems without any assumption about its entropic structure. A global existence result of nonnegative solutions is obtained by applying a classical Sc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bab9d08cbab06a468131bcc9c310e389
https://hal.archives-ouvertes.fr/hal-03328931
https://hal.archives-ouvertes.fr/hal-03328931
Autor:
Aya Mourad, Carole Rosier
Publikováno v:
Journal of Optimization Theory and Applications. 183:705-730
This article is concerned with the identification, from observations or field measurements, of the hydraulic conductivity for the saltwater intrusion problem in an unconfined aquifer. The involved model consists in a cross-diffusion system describing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3445dff6dabfd07140a2e62251478f0f
https://doi.org/10.1007/s10957-019-01571-2
https://doi.org/10.1007/s10957-019-01571-2
Publikováno v:
Applied Mathematical Modelling
Applied Mathematical Modelling, Elsevier, 2020, 81, pp.727-751. ⟨10.1016/j.apm.2020.01.011⟩
Applied Mathematical Modelling, Elsevier, 2020, 81, pp.727-751. ⟨10.1016/j.apm.2020.01.011⟩
In this paper, we present a new class of efficient models for water flow in shallow unconfined aquifers, providing an alternative to the classical but less tractable 3d-Richards model. Its derivation is guided by two objectives: to obtain a model tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df84aeba737255800b9b5a05efb9bcc8
https://hal.archives-ouvertes.fr/hal-02478495
https://hal.archives-ouvertes.fr/hal-02478495
Publikováno v:
Applied Numerical Mathematics. 127:349-369
We simulate a sharp-diffuse interface model issuing from a seawater intrusion problem in unconfined aquifer. We study a semi-implicite in time scheme for a P k , ( k ≥ 1 ) Lagrange finite element approximation. Using the specific regularity of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07e03d5800665848fec9406605261c9d
https://doi.org/10.1016/j.apnum.2018.01.013
https://doi.org/10.1016/j.apnum.2018.01.013