Weak solutions to lubrication systems describing the evolution of bilayer thin films

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Jachalski S., Kitavtsev G., Taranets R.

Communications in Mathematical Sciences, cilt.12, sa.3, ss.527-544, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.4310/cms.2014.v12.n3.a7
  • Dergi Adı: Communications in Mathematical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.527-544
  • Anahtar Kelimeler: Bilayer systems, Lubrication equations, Slippage, Weak solutions
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Hayır

Özet

The existence of global non-negative weak solutions is proved for coupled onedimensional lubrication systems that describe the evolution of nanoscopic bilayer thin polymer films that take account of Navier-slip or no-slip conditions at both liquid-liquid and liquid-solid interfaces. In addition, in the presence of attractive van derWaals and repulsive Born intermolecular interactions existence of positive smooth solutions is shown. © 2014 International Press.