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Inequalities related to stationary flows of granulated media
Author(s) -
Łukaszewicz Grzegorz,
Piskorek A.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110102
Subject(s) - mathematics , uniqueness , inequality , constant (computer programming) , motion (physics) , variational inequality , mathematical analysis , flow (mathematics) , classical mechanics , geometry , physics , computer science , programming language
We investigate some variational inequalities associated with the equations of the stationary motion of granulated media with a constant density. These inequalities replace the usual equations of motion in the case when some additional constraints are imposed on the flow. We prove the existence of solutions of the inequalities, study their regularity, uniqueness, dependence on data and relations to solutions of the equations of motion.