Applied Partial Differential Equations with fourier series and boundary value problems 5th edition 1.4.7 part B

Determine an equilibrium temperature distribution (if one exists) for what value of B are there solutions? Explain physically

$\frac{\partial u}{\partial t}=\frac{\partial u^2}{\partial x^2},u(x,0)=f(x), \frac{\partial u}{\partial x}(0,t)=1,\frac{\partial u}{\partial x}(L,t)=B $

  • The offered bounty is a bit low for the level and complexity of the question.

  • Mathe Mathe

    This is an advanced question so I believe the bounty shoul be higher. I suggest something north of $25

    • Kav10 Kav10

      I would suggest $40 minimum.

  • I have a solution and will submit shortly. Now that I've cleared the air, can you all please get back to work on my problem? ;)


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