Results 1 to 2 of 2

Math Help - [SOLVED] Diffusion equation with a death rate

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    16

    [SOLVED] Diffusion equation with a death rate

    I've been given this equation:

    \frac{\partial n}{\partial t} = D_0 \frac{\partial}{\partial x}\left [ \left ( \frac{n}{n_0} \right ) ^m \frac{\partial n}{\partial x} \right ]- \mu n, D_0>0, \mu  >0

    (where " - \mu n" is the death term)

    Then I'm told:
    Suppose n(x,0) = Q\delta (x) . Show by appropriate transformations in n and t that this question can be reduced to one equivalent to

    \frac{\partial n}{\partial t} = D_0 \frac{\partial}{\partial x}\left [ \left ( \frac{n}{n_0} \right ) ^m \frac{\partial n}{\partial x} \right ]

    ie with no death term.







    Now, I have absolutely no idea what transformations to use...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Mar 2009
    Posts
    16
    Not to worry; the answer is to transform n to ne^{-\mu t}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Diffusion equation
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: December 2nd 2011, 07:36 AM
  2. [SOLVED] diffusion equation
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: January 16th 2011, 07:17 PM
  3. Replies: 0
    Last Post: October 6th 2010, 02:09 AM
  4. Another form of diffusion equation
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: January 20th 2009, 07:26 AM
  5. drift-diffusion equation
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: November 15th 2007, 02:57 PM

Search Tags


/mathhelpforum @mathhelpforum