Integral and Diffusion Equations

1996 ◽  
pp. 55-76
Author(s):  
Robert Aebi
Keyword(s):  
Diffusion Equations ◽  
And Diffusion

Adolf Fick and Diffusion Equations

2006 ◽  
Vol 249 ◽  
pp. 1-6 ◽  
Author(s):  
Jean Philibert
Keyword(s):  
Diffusion Equations ◽  
Seminal Paper ◽  
And Diffusion

After some biographical notes, Fick’s 1855 seminal paper is analysed and the contributions of Stefan and Roberts-Austen are briefly mentioned.

Asymptotic relationship between telegraphic and diffusion equations

1981 ◽  
Vol 3 (1) ◽  
pp. 21-37 ◽  
Author(s):  
J. Mika ◽  
R. Stankiewicz ◽  
H. Neunzert
Keyword(s):  
Diffusion Equations ◽  
Asymptotic Relationship ◽  
And Diffusion

Transport and Diffusion Equations in Toroidal Geometry

1974 ◽  
Vol 55 (4) ◽  
pp. 359-367 ◽  
Author(s):  
G. C. Pomraning ◽  
C. A. Stevens
Keyword(s):  
Diffusion Equations ◽  
Transport And Diffusion ◽  
And Diffusion ◽  
Toroidal Geometry

scholarly journals Non-rigid registration of breast surfaces using the laplace and diffusion equations

2010 ◽  
Vol 9 (1) ◽  
pp. 8 ◽  
Author(s):  
Rowena E Ong ◽  
Jao J Ou ◽  
Michael I Miga
Keyword(s):  
Diffusion Equations ◽  
Rigid Registration ◽  
And Diffusion

scholarly journals Between Waves and Diffusion: Paradoxical Entropy Production in an Exceptional Regime

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 881 ◽  
Author(s):  
Karl Hoffmann ◽  
Kathrin Kulmus ◽  
Christopher Essex ◽  
Janett Prehl
Keyword(s):  
Entropy Production ◽  
Production Rate ◽  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Irreversible Processes ◽  
Entropy Production Rate ◽  
Continuous Space ◽  
One Dimensional ◽  
Fractional Diffusion Equations ◽  
And Diffusion

The entropy production rate is a well established measure for the extent of irreversibility in a process. For irreversible processes, one thus usually expects that the entropy production rate approaches zero in the reversible limit. Fractional diffusion equations provide a fascinating testbed for that intuition in that they build a bridge connecting the fully irreversible diffusion equation with the fully reversible wave equation by a one-parameter family of processes. The entropy production paradox describes the very non-intuitive increase of the entropy production rate as that bridge is passed from irreversible diffusion to reversible waves. This paradox has been established for time- and space-fractional diffusion equations on one-dimensional continuous space and for the Shannon, Tsallis and Renyi entropies. After a brief review of the known results, we generalize it to time-fractional diffusion on a finite chain of points described by a fractional master equation.

scholarly journals An interactive analysis of harmonic and diffusion equations on discrete 3D shapes

2013 ◽  
Vol 37 (5) ◽  
pp. 526-538 ◽  
Author(s):  
Giuseppe Patané ◽  
Michela Spagnuolo
Keyword(s):  
Diffusion Equations ◽  
Interactive Analysis ◽  
3D Shapes ◽  
And Diffusion
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