Timeline for ODE's without a Lipschitz condition
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 21 at 20:15 | comment | added | Thomas Richard | You can find it here en.m.wikipedia.org/wiki/Torricelli%27s_law for the physical modeling leading to the ode. | |
| Oct 20 at 18:47 | comment | added | Joako | @ThomasRichard Hi! I am really interested in the model you mention, Do you know any source or link where I can see the analysis of that system in detail? Thanks beforehand. | |
| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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| Sep 5, 2013 at 2:27 | comment | added | Thomas Richard | It might be useful to mention that the ODE $y'=-\sqrt{y_+}$, for which non uniqueness holds, actually models a real physical system. $y(t)$ represents the water height in a pierced cylindrical bucket. And the non uniqueness of the Cauchy problem with initial condition $y(0)=0$ is natural in this model: if you know the bucket is empty at time $0$, it is hard to tell if there was water in it before and when it got empty. | |
| Sep 4, 2013 at 18:54 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Dec 5, 2012 at 20:28 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Dec 5, 2012 at 20:11 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Dec 5, 2012 at 19:00 | comment | added | Arthur | Thanks, this is a very helpful answer (I'd vote it up, but I don't yet have the reputation to do so). | |
| Dec 5, 2012 at 18:59 | vote | accept | Arthur | ||
| Dec 5, 2012 at 18:55 | history | answered | Pietro Majer | CC BY-SA 3.0 |