# how can solve this equation

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 April 7, 2005, 12:01 how can solve this equation #1 Jianfeng Xia Guest   Posts: n/a I have to a equation , but I don't known how to solve it stable. partial h/partial t= Grad. {1/3 h^3 Grad[-gamma chi(h) Grad. (Grad h/ sqrt(1+(Grad h)^2))+ chi'(h)(gamma 1/sqrt(1+(Grad h)^2))]} Is there anyone can help me , Thank you very much

 April 8, 2005, 13:50 Re: how can solve this equation #2 Junseok Kim Guest   Posts: n/a Could you make it ps or pdf file using latex, so that easy to look at the equation. It is hard to visualize the equation unless I rewrite it again. You can post it on your website and put the link here. Kim

 April 8, 2005, 13:55 Re: how can solve this equation #3 Jianfeng Xia Guest   Posts: n/a Thanks a lot, But I have no my own website. Can I set pdf file to your email box?

 April 8, 2005, 13:59 Re: how can solve this equation #4 Junseok Kim Guest   Posts: n/a Sure, no problem. And if you don't mind I will put it on my website so that others can look at and give you ideas. Kim

 April 8, 2005, 14:02 Re: how can solve this equation #5 Jianfeng Xia Guest   Posts: n/a OK.

 April 8, 2005, 15:02 Re: how can solve this equation #6 m. malik Guest   Posts: n/a Will appreciate if you can e-mail me the equation. Thanks

 April 8, 2005, 16:15 http://math.uci.edu/~jskim/web.pdf #7 Junseok Kim Guest   Posts: n/a Here is the problem description. http://math.uci.edu/~jskim/web.pdf

 April 9, 2005, 22:28 Re: how can solve this equation #8 diaw Guest   Posts: n/a Your problem statement describes h(x), ie. a 1D problem. But, your equation is full of Nabla operators, implying a vector field (2d or 3d), as it seems pointless using nablas for only a 1D problem. If it is a 1D problem, then the reduction to a simple PDE is straightforward, if h(x,y,z), then the expansion will become more complex... then I would have an issue with the sqr(1+(nabla h )^2) term... A few thoughts... In a 1D problem, I would initially be inclined to try a change of variable to allow simpler solution & substitute back as required. diaw...

 April 10, 2005, 09:31 Re: http://math.uci.edu/~jskim/web.pdf #9 ???? Guest   Posts: n/a What is h(X) the profile of? What variable?

 April 10, 2005, 19:26 Re: how can solve this equation #10 Jianfeng Xia Guest   Posts: n/a Actually, here h is a Monge representation, h(x,y). And I just want to solve this equation in 1D. Could you explain it in details/ Thany you !

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