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Math Help - robin boundary condition

  1. #1
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    robin 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?
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  2. #2
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    Quote Originally Posted by CarmineCortez View Post
    I have the robin bc --- u(1,t) + 2u_x(1,t) = 0, t>0.

    What is the physical meaning of the boundary condition?
    The flux (the flow of heat) is k u_x. No flux boundary conditions (i.e. u_x = 0) says there is no flow of heat - insulated. So saying

    u_x = c u is saying the flux is proportional to the heat - the larger the heat the larger the flow.
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  3. #3
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    so if u(1,t) <0 then flux >0 which means heat is flowing into the rod?
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