Nonmonotone slip problem for miscible liquids

Stanisław Migórski , Paweł Szafraniec


In this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with nonsmooth, multivalued and nonmonotone boundary conditions of subdifferential type. We employ the regularized Galerkin method combined with results from the theory of hemivariational inequalities.
Author Stanisław Migórski
Stanisław Migórski,,
, Paweł Szafraniec (FoPaPE / IoAEaI)
Paweł Szafraniec,,
- Institute of Agricultural Engineering and Informatics
Journal seriesJournal of Mathematical Analysis and Applications, ISSN 0022-247X, e-ISSN 1096-0813, (N/A 70 pkt)
Issue year2019
Publication size in sheets0.75
Keywords in EnglishNavier–Stokes equation Generalized subgradient Nonconvex potential Operator inclusion Weak solution
ASJC Classification2603 Analysis; 2604 Applied Mathematics
Internal identifierWIPiE/2019/8
Languageen angielski
Score (nominal)70
Score sourcejournalList
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.187; WoS Impact Factor: 2018 = 1.188 (2) - 2018=1.219 (5)
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UwagaPaweł Szafraniec - Oświadczenie o afiliacji dołączone do publikacji
FinansowanieThe project has received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Skłodowska-Curie grant agreement No. 823731 – CONMECH. It has been supported by the National Science Center of Poland under Maestro Project No. UMO-2012/06/A/ST1/00262, the Qinzhou University Project No. 2018KYQD03, and the International Project co-financed by the Ministry of Science and Higher Education of Republic of Poland under Grant No. 3792/GGPJ/H2020/2017/0.
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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