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Digitale Medien

Transient instability in case II diffusion (1998)

Guidotti, Patrick ; Pelesko, John A.

Bognor Regis [u.a.] : Wiley-Blackwell

Journal of Polymer Science Part B: Polymer Physics 36 (1998), S. 2941-2947

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Details

ISSN: 0887-6266

Schlagwort(e): Case II diffusion ; stability ; multidimensional Stefan-like Problem ; asymptotic analysis ; Physics ; Polymer and Materials Science

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Physik

Notizen: A well-known model of one-dimensional Case II diffusion is reformulated in two dimensions. This 2-D model is used to study the stability of 1-D planar Case II diffusion to small spatial perturbations. An asymptotic solution based on the assumption of small perturbations and a small driving force is developed. This analysis reveals that while 1-D planar diffusion is indeed asymptotically stable to small spatial perturbations, it may exhibit a transient instability. That is, although any small perturbation is damped out over sufficiently long times, the amplitude of any perturbation initially grows with time. © 1998 John Wiley & Sons, Inc. J Polym Sci B: Polym Phys 36: 2941-2947, 1998

Zusätzliches Material: 5 Ill.

Materialart: Digitale Medien

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