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Theoretical aspects of a binary mixture flow

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Publication:2001278
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DOI10.1016/j.camwa.2018.03.006zbMath1420.35265OpenAlexW2791390753MaRDI QIDQ2001278

Roman M. Taranets, Marina Chugunova

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.006


zbMATH Keywords

weak solutionsbinary mixturelubrication approximationthin film flowcoupled nonlinear system


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Population dynamics (general) (92D25) Weak solutions to PDEs (35D30)


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Cites Work

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  • Degenerate parabolic equations
  • Compact sets in the space \(L^ p(0,T;B)\)
  • A mathematical model for drying paint layers
  • Finite-time thin film rupture driven by modified evaporative loss
  • Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
  • The interaction of thin-film flow, bacterial swarming and cell differentiation in colonies of Serratia liquefaciens
  • A Two-Phase Model for Evaporating Solvent-Polymer Mixtures
  • Flow of evaporating, gravity-driven thin liquid films over topography
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