Question

Suppose we are modeling heat flow in a one dimensional rod with constant thermal conductivity K0 and oriented along the x axis from x=0 to x=L. Suppose the x=0 end has a prescribed temperature of 0 as boundary condition, and the x=L end has prescribed temperature equal to sin(2pi t) for t>0

1. Wrote the boundary condition at the x=0 end

2. 2. Write the boundary condition at the x=L end

3. 3. Are the boundary condition homogeneous?

4. Will an equilibrium solution exist? Why or why not?

Answer 1