biharmonic and triharmonic
I'd like to find some biharmonic and triharmonic time dependent problem.
For example, u_t = u_{xxxx} and u_t = u_{xxxxxx} in one dimensional case. Would you recommend some references? |
Re: biharmonic and triharmonic
Here's a good place to start:
http://www.amazon.com/exec/obidos/AS...287138-4896024 Maybe this is of use???? http://scholar.google.com/scholar?hl...&q=triharmonic+biharmonic |
Re: biharmonic and triharmonic
Your first example is an ill-posed problem ( you require u_t = -u_{xxxx} for well-posedness).
Any paper on hyperdiffusion should help. You could also look at papers on elasticity where the biharmonic equation turns up quite naturally. |
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