Geodesic
Weak solutions for a well-posed Hele-Shaw problem
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 397-424 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

Voir la notice de l'article

We analyze existence and uniqueness of weak solutions to the well-posed Hele-Shaw problem under general conditions on the fixed boundaries and non-homogeneous governing equation in the unknown domain and non-homogeneous dynamic condition on the free boundary. Our approach allows us also to minimize the restrictions on the boundary and initial data. We derive several estimates on the solutions in $BV$ spaces, prove a comparison theorem, and show that the solution depends continuously on the initial and boundary data. 
@article{BUMI_2004_8_7B_2_a8,
     author = {Antontsev, S. N. and Meirmanov, A. M. and Yurinsky, V. V.},
     title = {Weak solutions for a well-posed {Hele-Shaw} problem},
     journal = {Bollettino della Unione matematica italiana},
     pages = {397--424},
     year = {2004},
     volume = {Ser. 8, 7B},
     number = {2},
     zbl = {1177.76398},
     mrnumber = {MR2072944},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a8/}
}
TY  - JOUR
AU  - Antontsev, S. N.
AU  - Meirmanov, A. M.
AU  - Yurinsky, V. V.
TI  - Weak solutions for a well-posed Hele-Shaw problem
JO  - Bollettino della Unione matematica italiana
PY  - 2004
SP  - 397
EP  - 424
VL  - 7B
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a8/
LA  - en
ID  - BUMI_2004_8_7B_2_a8
ER  - 
%0 Journal Article
%A Antontsev, S. N.
%A Meirmanov, A. M.
%A Yurinsky, V. V.
%T Weak solutions for a well-posed Hele-Shaw problem
%J Bollettino della Unione matematica italiana
%D 2004
%P 397-424
%V 7B
%N 2
%U http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a8/
%G en
%F BUMI_2004_8_7B_2_a8
Antontsev, S. N.; Meirmanov, A. M.; Yurinsky, V. V. Weak solutions for a well-posed Hele-Shaw problem. Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 397-424. http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a8/