The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Thin fluid films (76A20) Bifurcations in context of PDEs (35B32) Self-similar solutions to PDEs (35C06)

Cites Work

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Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows
Regular and complex singularities of the generalized thin film equation in two dimensions
Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves
A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS
Self-similar slip instability on interfaces with rate- and state-dependent friction

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