I have the robin bc --- u(1,t) + 2u_x(1,t) = 0, t>0.

What is the physical meaning of the boundary condition?

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- Feb 9th 2010, 06:42 PMCarmineCortezrobin boundary condition
I have the robin bc --- u(1,t) + 2u_x(1,t) = 0, t>0.

What is the physical meaning of the boundary condition? - Feb 10th 2010, 04:55 AMJester
The flux (the flow of heat) is $\displaystyle k u_x$. No flux boundary conditions (i.e. $\displaystyle u_x = 0$) says there is no flow of heat - insulated. So saying

$\displaystyle u_x = c u$ is saying the flux is proportional to the heat - the larger the heat the larger the flow. - Feb 10th 2010, 05:55 AMCarmineCortez
so if u(1,t) <0 then flux >0 which means heat is flowing into the rod?