A mollified method for the solution of the Cauchy problem for the convection–diffusion equation

2007 ◽  
Vol 15 (4) ◽  
pp. 293-302 ◽  
Author(s):  
D. Lesnic ◽  
G. C. Wake
Keyword(s):  
Cauchy Problem ◽  
Diffusion Equation ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
The Cauchy Problem

Asymptotically Self-Similar Solution for the Convection-Diffusion Equation

2014 ◽  
Vol 623 ◽  
pp. 97-100 ◽  
Author(s):  
Xue Yu ◽  
Qiu Sheng Zhang
Keyword(s):  
Diffusion Equation ◽  
Global Solutions ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Self Similar Solution ◽  
The Cauchy Problem ◽  
Self Similar ◽  
Diffusion And Convection ◽  
Physical Phenomena ◽  
Physical Quantities

We study the Cauchy problem for the convection-diffusion equation, which describes physical phenomena where particles, energy, or other physical quantities are transferred inside a physical system due to diffusion and convection processes. For, we show the continuous dependence upon the initial data. Moreover, asymptotically self–similar global solutions are investigated with nonhomogeneous initial date.

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