Quasilinear abstract parabolic evolution equations and exponential attractors
Aida, Masashi ; Efendiev, Messoud ; Yagi, Atsushi
Osaka J. Math., Tome 42 (2005) no. 1, p. 101-132 / Harvested from Project Euclid
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The Exponential attractor, one of notions of limit set in infinite-dimensional dynamical systems, is known to have strong robustness and is known to be constructed under a simple compact smoothing condition. In this paper, we study a dynamical system determined from the Cauchy problem for a quasilinear abstract parabolic evolution equation. We give a general strategy for constructing the exponential attractor and apply the abstract result to a chemotaxis-growth system in non smooth domain.
Publié le : 2005-03-14
Classification:  
@article{1153494317,
     author = {Aida, Masashi and Efendiev, Messoud and Yagi, Atsushi},
     title = {Quasilinear abstract parabolic evolution equations and exponential attractors},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 101-132},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494317}
}

Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi. Quasilinear abstract parabolic evolution equations and exponential attractors. Osaka J. Math., Tome 42 (2005) no. 1, pp.  101-132. http://gdmltest.u-ga.fr/item/1153494317/