Exact solution for a Stefan problem with latent heat a power function of position

2014 ◽  
Vol 69 ◽  
pp. 451-454 ◽  
Author(s):  
Yang Zhou ◽  
Yi-jiang Wang ◽  
Wan-kui Bu
Keyword(s):  
Exact Solution ◽  
Latent Heat ◽  
Power Function ◽  
Stefan Problem

Exact solution for a two-phase Stefan problem with power-type latent heat

2017 ◽  
Vol 110 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Yang Zhou ◽  
Xiang-you Shi ◽  
Guo-qing Zhou
Keyword(s):  
Exact Solution ◽  
Latent Heat ◽  
Stefan Problem ◽  
Power Type ◽  
Two Phase

scholarly journals ABOUT THE EXACT SOLUTION IN TWO PHASE-STEFAN PROBLEM

2007 ◽  
Vol 6 (2) ◽  
pp. 70 ◽  
Author(s):  
A. C. Boucíguez ◽  
R. F. Lozano ◽  
M. A. Lara
Keyword(s):  
Boundary Condition ◽  
Exact Solution ◽  
Stefan Problem ◽  
Two Phase ◽  
Flux Boundary Condition ◽  
Temperature Boundary ◽  
Infinite Slab ◽  
Heat Flux Boundary Condition ◽  
The Relationship ◽  
Temperature Boundary Condition

Two cases of the two - phase Stefan problem in a semi - infinite slab are presented here: one has heat flux boundary condition proportional to t−½ and the other has constant temperature boundary condition. In these two cases the exact solution exists, the relationship between the two boundary conditions is presented here, and the equivalence between the two problems is shown.

Spatial segregation limit of a competition–diffusion system

1999 ◽  
Vol 10 (2) ◽  
pp. 97-115 ◽  
Author(s):  
E. N. DANCER ◽  
D. HILHORST ◽  
M. MIMURA ◽  
L. A. PELETIER
Keyword(s):  
Interspecific Competition ◽  
Latent Heat ◽  
Stefan Problem ◽  
Singular Limit ◽  
Spatial Segregation ◽  
Diffusion System ◽  
Competition Diffusion

We consider a competition–diffusion system and study its singular limit as the interspecific competition rate tend to infinity. We prove the convergence to a Stefan problem with zero latent heat.

Existence of an exact solution for a one-phase Stefan problem with nonlinear thermal coefficients from Tirskii’s method

2007 ◽  
Vol 67 (7) ◽  
pp. 1989-1998 ◽  
Author(s):  
Adriana C. Briozzo ◽  
María Fernanda Natale ◽  
Domingo A. Tarzia
Keyword(s):  
Exact Solution ◽  
Stefan Problem
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