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Transition from Mushroom to Brush during Formation of a Tethered Layer

✍ Scribed by Huang, Heqing; Rankin, Stephen E.; Penn, Lynn S.; Quirk, Roderic P.; Cheong, Tae Hee

Book ID
127337937
Publisher
American Chemical Society
Year
2004
Tongue
English
Weight
325 KB
Volume
20
Category
Article
ISSN
0743-7463

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πŸ“œ SIMILAR VOLUMES

Boundary layer formation in the transiti
Boundary layer formation in the transition from the Porous Media Equation to a Hele–Shaw flow
✍ O. Gil; F. QuirΓ³s πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 169 KB

Let u m (x, t) be the solution to the Porous Media Equation, u t = u m , in a domain βŠ‚ R n , with initial data u m (x, 0) = f (x) and boundary data u m m (x, t) = g(x). Let v m ≑ u m m . We prove the convergence as m goes to infinity of the pair (u m , v m ) to a pair (u ∞ , v ∞ ) which is a weak so