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Solving specific PDE 
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#1
Oct111, 02:04 PM

P: 31

Hello,
I derived a model in the form [tex]\begin{array}{rcl}\frac{\partial U(\vec{x},t)}{\partial t}&=&\gamma^2\Vert\nabla U(\vec{x},t)\Vert,\\\int_{\Omega}U(\vec{x},t)\, d \Omega&=&U_0,\quad\forall t\\U(\vec{x},0)&=&f(\vec{x}).\end{array}[/tex] I don't know to solve that. THanks for help. 


#2
Oct311, 07:08 AM

P: 336

This looks like the heat equation.So, I suggest seperating variables.



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