On the differential variational inequalities of parabolic‐elliptic type

We consider a model of infinite dimensional differential variational inequalities formulated by a parabolic differential inclusion and an elliptic variational inequality. The existence of global solution and global attractor for the semiflow governed by our system is proved by using measure of nonco...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2017-09, Vol.40 (13), p.4683-4695
Main Authors: Nguyen, Thi Van Anh, Tran, Dinh Ke
Format: Article
Language:English
Subjects:
35B40
35J85
47H08
differential variational inequality
elliptic variational inequality
global attractor
Inequalities
measure of noncompactness
subclass 34A60
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Summary:We consider a model of infinite dimensional differential variational inequalities formulated by a parabolic differential inclusion and an elliptic variational inequality. The existence of global solution and global attractor for the semiflow governed by our system is proved by using measure of noncompactness. Copyright © 2017 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4334