Singular Perturbation of Smoothly Evolving Hele-Shaw Solutions

TY - JOUR

T1 - Singular Perturbation of Smoothly Evolving Hele-Shaw Solutions

AU - Siegel, Michael

AU - Tanveer, Saleh

PY - 1996

Y1 - 1996

N2 - We present analytical scaling results, confirmed by accurate numerics, to show that there exists a class of smoothly evolving zero surface tension solutions to the Hele-Shaw problem that are significantly perturbed by an arbitrarily small amount of surface tension in order one time.

AB - We present analytical scaling results, confirmed by accurate numerics, to show that there exists a class of smoothly evolving zero surface tension solutions to the Hele-Shaw problem that are significantly perturbed by an arbitrarily small amount of surface tension in order one time.

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U2 - https://doi.org/10.1103/PhysRevLett.76.419

DO - https://doi.org/10.1103/PhysRevLett.76.419

M3 - Article

SN - 0031-9007

VL - 76

SP - 419

EP - 422

JO - Physical review letters

JF - Physical review letters

IS - 3

ER -