EXPONENTIAL ASYMPTOTICS FOR THIN FILM RUPTURE

Journal article

The formation of singularities in models of many physical systems can be described using self-similar solutions. One particular example is the finite-time rupture of a thin film of viscous fluid which coats a solid substrate. Previous studies have suggested the existence of a discrete, countably infinite number of distinct solutions of the nonlinear differential equation which describes the self-similar behavior. However, no analytical mechanism for determining these solutions was identified....

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Authors: Chapman, S; Trinh, P; Witelski, T

• Publication status: Published
• Journal: SIAM JOURNAL ON APPLIED MATHEMATICS
• Volume: 73
• Issue: 1
• Pages: 232-253
• Publication date: 2013-01-01
• DOI: 10.1137/120872012
• EISSN: 1095-712X
• ISSN: 0036-1399
• Language: English
• Keywords: beyond-all-orders analysis; pinch-off; thin film rupture; similarity solutions; Stokes phenomenon; exponential asymptotics