Time-dependent coating flows in a strip, Part I: The linearized problem

DOI10.1090/S0002-9947-97-01956-9zbMath0885.35094OpenAlexW1601075812MaRDI QIDQ4372538

Juan J. L. Velazquez, Avner Friedman

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01956-9

zbMATH Keywords

Navier-Stokes equationslinearized problemunique solutionsmooth free boundarysharp estimates for the solutiontime-dependent coating flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary value problems for higher-order elliptic equations (35J40) Free boundary problems for PDEs (35R35)

Related Items

Liouville type theorems for fourth order elliptic equations in a half plane ⋮ Stokes and Navier-Stokes equations with perfect slip on wedge type domains

Cites Work

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• Classes of solutions of linear systems of partial differential equations of parabolic type
• The analysis of coating flows near the contact line
• The analysis of coating flows in a strip
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Liouville type theorems for fourth order elliptic equations in a half plane
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II