Exponential attractor for an adsorbate-induced phase transition model in non smooth domain
Takei, Yasuhiro ; Efendiev, Messoud ; Tsujikawa, Tohru ; Yagi, Atsushi
Osaka J. Math., Tome 43 (2006) no. 2, p. 215-237 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We improve our preceding result obtained in Tsujikawa and Yagi [10]. We construct the similar exponential attractors to the same adsorbate-induced phase transition model as in [10] but in a convex domain by using the compact smoothing property of corresponding nonlinear semigroup. In [10], the domain has been assumed to have $\mathcal{C}^{3}$ regularity to ensure the squeezing property of semigroup.
Publié le : 2006-03-15
Classification:  37L30,  35K57,  35K90 
@article{1146243004,
     author = {Takei, Yasuhiro and Efendiev, Messoud and Tsujikawa, Tohru and Yagi, Atsushi},
     title = {Exponential attractor for an adsorbate-induced phase transition model in non smooth domain},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 215-237},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146243004}
}

Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi. Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Osaka J. Math., Tome 43 (2006) no. 2, pp.  215-237. http://gdmltest.u-ga.fr/item/1146243004/