On a phase-field model for electrowetting and other electrokinetic phenomena
Entidad
UAM. Departamento de MatemáticasEditor
Society for Industrial and Applied MathematicsFecha de edición
2011Cita
10.1137/090779668
SIAM Journal on Mathematical Analysis 43.1 (2011): 527-563
ISSN
0036-1410DOI
10.1137/090779668Financiado por
This work was supported by DAAD, Ministerio de Educación y Ciencia through the program Acciones Integradas Hispano Alemanas, project D/06/12788, and by Dr. Hertha und Helmut Schmauser-Stiftung.Versión del editor
http://dx.doi.org/10.1137/090779668Materias
Cahn-Hilliard equation; Electrolytes; Electrowetting; Elliptic transmission problem; Existence of weak solutions in three dimensions; Free boundary problem in PDE; Llog L-Orlicz class; Navier-Stokes system; Nernst-Planck equation; Phase-field model; Regularity iteration; MatemáticasDerechos
© 2011 by SIAMResumen
In three space dimensions, we present existence results for weak solutions to a novel two-phase model for various electrokinetic phenomena, including in particular dynamic electrowetting with electrolytes. The model is thermodynamically consistent. It combines Navier-Stokes- and Cahn-Hilliard-type phase-field equations with Nernst-Planck equations for ion density-evolution and with an elliptic transmission problem for the electrostatic potential. As physical energy estimates guarantee only boundedness of ion densities in the Llog L-Orlicz class uniformly with respect to time, an iteration method is proposed to establish higher regularity and integrability results of these quantities. In an appendix, the derivation of the model is sketched
Lista de ficheros
Google Scholar:Fontelos, M. A.
-
Grün, G.
-
Jörres, S.
Lista de colecciones del ítem
Registros relacionados
Mostrando ítems relacionados por título, autor, creador y materia.
-
Phase i trial of axitinib combined with platinum doublets in patients with advanced non-small cell lung cancer and other solid tumours
Kozloff, Mark F.; Martin, Lainie P.; Krzakowski, Maciej J.; Samuel, Thomas A.; Rado, Thomas A.; Arriola, Edurne; Castro-Carpeño, Javier De; Herbst, Roy S.; Tarazi, Jamal C.; Kim, Sindy T.; Rosbrook, Brad P.; Tortorici, Michael A.; Olszanski, Anthony J.; Cohen, Roger B.
2012-10-09 -
Validity of the CR-POSSUM model in surgery for colorectal cancer in Spain (CCR-CARESS study) and comparison with other models to predict operative mortality
Baré, Marisa; Alcántara, Manuel Jesús; Gil, María José; Collera, Pablo; Pont, Marina; Escobar, Antonio; Sarasqueta, Cristina; Redondo, Maximino; Briones, Eduardo; Dujovne, Paula; Quintana, José María; CARESS-CCR Study Group
2018