The "Linear" Limit of Thin Film Flows as an Obstacle-Type Free Boundary Problem
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Publication:2727765
DOI10.1137/S0036139999358271zbMath0971.35043MaRDI QIDQ2727765
Josephus Hulshof, Fernando Quirós, Francisco Bernis
Publication date: 31 July 2001
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
moving boundaryfree boundarynonlinear diffusionhigher-order diffusionselfsimilar source-type solutions
Nonlinear parabolic equations (35K55) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35)
Related Items (5)
Qualitative properties of solutions to a mass-conserving free boundary problem modeling cell polarization ⋮ Pressure-dipole solutions of the thin-film equation ⋮ Very Singular Solutions for Thin Film Equations with Absorption ⋮ Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches ⋮ Linear stability of source-type similarity solutions of the thin film equation
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