A Free-Boundary Model of Corrosion

2016 ◽  
pp. 935-941
Author(s):  
F. Clarelli ◽  
B. De Filippo ◽  
R. Natalini
Keyword(s):  
Free Boundary ◽  
Boundary Model

scholarly journals A free boundary model of epithelial dynamics

2019 ◽  
Vol 481 ◽  
pp. 61-74 ◽  
Author(s):  
Ruth E Baker ◽  
Andrew Parker ◽  
Matthew J Simpson
Keyword(s):  
Free Boundary ◽  
Boundary Model

Free-boundary model for local thermal coagulation

1996 ◽  
Author(s):  
Igor A. Lubashevsky ◽  
Alexander V. Priezzhev ◽  
Vasyl V. Gafiychuk ◽  
Meruzhan G. Cadjan
Keyword(s):  
Free Boundary ◽  
Thermal Coagulation ◽  
Boundary Model

Dynamic free-boundary model for laser thermal tissue coagulation

1996 ◽  
Author(s):  
Igor A. Lubashevsky ◽  
Alexander V. Priezzhev ◽  
V. V. Gafiychuk ◽  
Meruzhan G. Cadjan
Keyword(s):  
Free Boundary ◽  
Boundary Model

scholarly journals Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams

2002 ◽  
Vol 13 (1) ◽  
pp. 25-52 ◽  
Author(s):  
PAUL C. FIFE ◽  
XIAO-PING WANG
Keyword(s):  
Free Boundary ◽  
Grain Boundary ◽  
Extended Model ◽  
Forced Motion ◽  
Chemically Induced ◽  
Thin Film Model ◽  
Motion By Curvature ◽  
Boundary Model ◽  
Grain Boundary Motion ◽  
Boundary Dynamics

The free boundary model of diffusion-induced grain boundary motion derived in Cahn et al. [3], Fife et al. [6] and Cahn & Penrose [4] is extended, in the case of thin metallic films, to account for bidirectional motion, together with the appearance of S-shapes and double seam configurations. These are often observed in the laboratory. Computer simulations based on the extended model are given to illustrate these and other features of bidirectional motion. More generally, the extension accounts for the motion of grain boundaries whose traces on the film's surface are curved. The new free boundary model is one of forced motion by curvature, the forcing term possibly changing sign due to the bidirectionality. The thin film model is derived systematically under explicit assumptions, and an adjustment for grooving is included.

scholarly journals A free-boundary model of diffusive valley growth: theory and observation

2017 ◽  
Vol 473 (2202) ◽  
pp. 20170159 ◽  
Author(s):  
Robert Yi ◽  
Yossi Cohen ◽  
Hansjörg Seybold ◽  
Eric Stansifer ◽  
Robb McDonald ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Free Boundary ◽  
Moving Boundary ◽  
Three Dimensions ◽  
Growth Theory ◽  
Variable Diffusivity ◽  
Boundary Model ◽  
New Feature ◽  
Underlying Processes

Valleys that form around a stream head often develop characteristic finger-like elevation contours. We study the processes involved in the formation of these valleys and introduce a theoretical model that indicates how shape may inform the underlying processes. We consider valley growth as the advance of a moving boundary travelling forward purely through linearly diffusive erosion, and we obtain a solution for the valley shape in three dimensions. Our solution compares well to the shape of slowly growing groundwater-fed valleys found in Bristol, Florida. Our results identify a new feature in the formation of groundwater-fed valleys: a spatially variable diffusivity that can be modelled by a fixed-height moving boundary.

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