Geodesic
Electrified thin films: Global existence of non-negative solutions
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 3, pp. 413-433

Voir la notice de l'article provenant de la source Numdam

We consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal solid substrate destabilized by an electric field normal to the substrate. The effects of the electric field are modeled by a lower order non-local term. We introduce the good functional analysis framework to study this equation on a bounded domain and prove the existence of weak solutions defined globally in time for general initial data (with finite energy).

DOI : 10.1016/j.anihpc.2012.01.003
Classification : 35G25, 35K25, 35A01, 35B09
Keywords: Higher order equation, Non-local equation, Thin film equation, Non-negative solutions 
@article{AIHPC_2012__29_3_413_0,
     author = {Imbert, C. and Mellet, A.},
     title = {Electrified thin films: {Global} existence of non-negative solutions},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {413--433},
     publisher = {Elsevier},
     volume = {29},
     number = {3},
     year = {2012},
     doi = {10.1016/j.anihpc.2012.01.003},
     zbl = {1308.35123},
     mrnumber = {2926242},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.01.003/}
}
TY  - JOUR
AU  - Imbert, C.
AU  - Mellet, A.
TI  - Electrified thin films: Global existence of non-negative solutions
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2012
SP  - 413
EP  - 433
VL  - 29
IS  - 3
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.01.003/
DO  - 10.1016/j.anihpc.2012.01.003
LA  - en
ID  - AIHPC_2012__29_3_413_0
ER  - 
%0 Journal Article
%A Imbert, C.
%A Mellet, A.
%T Electrified thin films: Global existence of non-negative solutions
%J Annales de l'I.H.P. Analyse non linéaire
%D 2012
%P 413-433
%V 29
%N 3
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.01.003/
%R 10.1016/j.anihpc.2012.01.003
%G en
%F AIHPC_2012__29_3_413_0
Imbert, C.; Mellet, A. Electrified thin films: Global existence of non-negative solutions. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 3, pp. 413-433. doi: 10.1016/j.anihpc.2012.01.003

Cité par Sources :