- #1
soni
- 1
- 0
Hi,
I am looking for a solution of
[itex]\frac{\partial\phi}{\partial t} = |\nabla\phi|div\left(\frac{\nabla\phi}{|\nabla\phi|}\right)[/itex]
in the form of
[itex]\phi (x_1,x_2,t)=\gamma (t)\sqrt{x_1^2+x_2^2}-\alpha (t)[/itex]
i got myself to, where i want to evaluate [itex]\gamma, \alpha[/itex]
[itex]\dot{\gamma}(t)\sqrt{x_1^2+x_2^2} - \dot{\alpha}(t)=\frac{1}{\sqrt{x_1^2+x_2^2}}.[/itex]
Anyone having an idea how to do this, or am i missing something? It's been a while since i last used PDE so this is as far as i got.
any kind of help is appreciated
I am looking for a solution of
[itex]\frac{\partial\phi}{\partial t} = |\nabla\phi|div\left(\frac{\nabla\phi}{|\nabla\phi|}\right)[/itex]
in the form of
[itex]\phi (x_1,x_2,t)=\gamma (t)\sqrt{x_1^2+x_2^2}-\alpha (t)[/itex]
i got myself to, where i want to evaluate [itex]\gamma, \alpha[/itex]
[itex]\dot{\gamma}(t)\sqrt{x_1^2+x_2^2} - \dot{\alpha}(t)=\frac{1}{\sqrt{x_1^2+x_2^2}}.[/itex]
Anyone having an idea how to do this, or am i missing something? It's been a while since i last used PDE so this is as far as i got.
any kind of help is appreciated