On an inhomogeneous diffusion equation found in plasma physics

1977 ◽  
Vol 48 (4) ◽  
pp. 1480-1482 ◽  
Author(s):  
K. E. Lonngren
Keyword(s):  
Diffusion Equation ◽  
Plasma Physics ◽  
Inhomogeneous Diffusion

scholarly journals Stability of the Diffusion Equation with a Source

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Soon-Mo Jung ◽  
Seungwook Min
Keyword(s):  
Diffusion Equation ◽  
Ulam Stability ◽  
Partial Derivatives ◽  
Inhomogeneous Diffusion

We will prove the generalized Hyers-Ulam stability of the (inhomogeneous) diffusion equation with a source, ut(x,t)-k△u(x,t)=f(x,t), for a class of scalar functions with continuous second partial derivatives.

Analysis of a generalized nonlinear diffusion equation in fusion plasma physics

1982 ◽  
Vol 27 (1) ◽  
pp. 149-156 ◽  
Author(s):  
D. Anderson ◽  
M. Lisak
Keyword(s):  
Diffusion Equation ◽  
Plasma Physics ◽  
Nonlinear Diffusion ◽  
Energy Transport ◽  
Diffusion Constant ◽  
Nonlinear Diffusion Equation ◽  
Fusion Plasma ◽  
Linear Diffusion ◽  
Plasma Energy ◽  
High Degree

Using similarity methods, an investigation is made of a generalized nonlinear diffusion equation arising in plasma physics in connexion with several recently proposed models for turbulent plasma energy transport and particle diffusion.In almost every field of physics, diffusion or transport equations of the form Ψt = Δ. (DΔΨ) play an important role. The theory of linear diffusion equations, where the diffusion constant D is independent of Ψ, has been developed to a high degree of sophistication (e.g. Carsiaw & Jaeger 1959).

Multi-focus image fusion based on depth extraction with inhomogeneous diffusion equation

2016 ◽  
Vol 125 ◽  
pp. 171-186 ◽  
Author(s):  
Jinsheng Xiao ◽  
Tingting Liu ◽  
Yongqin Zhang ◽  
Baiyu Zou ◽  
Junfeng Lei ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Image Fusion ◽  
Depth Extraction ◽  
Focus Image ◽  
Inhomogeneous Diffusion

Inhomogenous diffusion equations in plasma physics and fluid dynamics

1978 ◽  
Vol 56 (1) ◽  
pp. 23-29
Author(s):  
C. S. Lai
Keyword(s):  
Fluid Dynamics ◽  
Plasma Physics ◽  
Analytical Solutions ◽  
Diffusion Coefficients ◽  
Three Dimensional ◽  
Diffusion Equations ◽  
Diffusion Characteristics ◽  
Self Similar Solution ◽  
Self Similar ◽  
Inhomogeneous Diffusion

Using the method of self-similar solution of partial differential equations, analytical solutions for the two- and three-dimensional inhomogeneous diffusion equations with the diffusion coefficients D ~ rm are obtained. The solutions found can be useful in studying the diffusion characteristics of some fluids and plasmas.

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