Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows-Reference-Cited by-同舟云学术

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Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows

Published:2017-05-19 Issue:7 Volume:30 Page:2647-2666
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Dallaston M C,Tseluiko D,Zheng Z,Fontelos M A,Kalliadasis S

Funder

Engineering and Physical Sciences Research Council

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://stacks.iop.org/0951-7715/30/i=7/a=2647/pdf

Reference54 articles.

1. Scaling, Self-similarity, and Intermediate Asymptotics

2. Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion

3. Singularities and Similarities in Interface Flows

4. The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions

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1. Long-time emergent dynamics of liquid films undergoing thermocapillary instability;Physical Review E;2024-09-05

2. The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics;Physica D: Nonlinear Phenomena;2023-11

3. Dynamics of fixed-volume pinned films – dealing with a non-self-adjoint thin-film problem;Journal of Fluid Mechanics;2023-08-16

4. Stability of similarity solutions of viscous thread pinch-off;Physical Review Fluids;2021-10-08

5. Regular and complex singularities of the generalized thin film equation in two dimensions;Journal of Fluid Mechanics;2021-04-23

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