A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane
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Publication:1975319
DOI10.1016/S0893-9659(99)00130-5zbMath0964.35084MaRDI QIDQ1975319
Publication date: 2 July 2001
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Non-Newtonian fluids (76A05) Degenerate parabolic equations (35K65) Initial value problems for higher-order parabolic equations (35K30)
Related Items (13)
Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid ⋮ Nonlinear dynamics of dewetting thin films ⋮ Doubly nonlinear thin-film equations in one space dimension ⋮ Existence and stability of solutions for a strongly coupled system modelling thin fluid films ⋮ Finite speed of propagation and algebraic time decay of solutions to a generalized thin film equation ⋮ Finite speed of propagation for thin viscous flows over an inclined plane ⋮ Long time decay rate to a bipolar quantum drift-diffusion model ⋮ Existence and asymptotic behavior of solutions to a thin film equation with Dirichlet boundary ⋮ Mathematical analysis to a nonlinear fourth-order partial differential equation ⋮ Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries ⋮ CONVERGENCE OF THIN FILM APPROXIMATION FOR A SCALAR CONSERVATION LAW ⋮ Thin-film flows on a solid sphere ⋮ Dynamics and equilibria of thin viscous coating films on a rotating sphere
Cites Work
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- Higher order nonlinear degenerate parabolic equations
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Spreading and instability of a viscous fluid sheet
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Thin static drops with a free attachment boundary
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