Timeline for Reference for existence results for 2D forced viscous Burgers equation
Current License: CC BY-SA 3.0
11 events
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| Oct 21, 2014 at 11:45 | comment | added | jaco | Sure, actually, I would also appreciate references for time-dependant version results (global in time existence, or finite time blow-up examples, attractors) would be nice | |
| Oct 21, 2014 at 11:43 | history | edited | jaco | CC BY-SA 3.0 |
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| Oct 21, 2014 at 11:09 | comment | added | David Ketcheson | In my experience, "Burgers' equation" refers to the time-dependent version. I think you should call this "steady state" or "time-independent" to be more clear. | |
| Oct 21, 2014 at 11:05 | history | edited | jaco | CC BY-SA 3.0 |
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| Oct 21, 2014 at 11:05 | comment | added | jaco | good remark, I will modify a bit the question | |
| Oct 21, 2014 at 10:47 | comment | added | Denis Serre | I suspected something like that. This paper considers the special case of irrotational solutions, that is when $u=\nabla \theta$ (incidentally, this assumes that the force is potential). Then the system reduces to a Hamilton-Jacobi equation for the unknown $\theta$. This being scalar, teh Hopf-Cole transformation can be carried out. | |
| Oct 21, 2014 at 10:43 | comment | added | jaco | I was either, but here onlinelibrary.wiley.com/doi/10.1002/fld.1650030302/abstract I found a remark that it can be interpreted as multidim transform | |
| Oct 21, 2014 at 9:20 | comment | added | Denis Serre | I am dubious about the Hof-Cole transformation in this vector-valued case. | |
| Oct 21, 2014 at 8:54 | history | edited | jaco | CC BY-SA 3.0 |
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| Oct 21, 2014 at 8:02 | review | First posts | |||
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| Oct 21, 2014 at 8:01 | history | asked | jaco | CC BY-SA 3.0 |