Comments on: Embedding the SQG equation in a modified Euler equation
https://terrytao.wordpress.com/2015/04/19/embedding-the-sqg-equation-in-a-modified-euler-equation/
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence TaoWed, 29 Jun 2016 14:44:53 +0000
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By: Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation | What's new
https://terrytao.wordpress.com/2015/04/19/embedding-the-sqg-equation-in-a-modified-euler-equation/#comment-470146
Wed, 29 Jun 2016 14:44:53 +0000http://terrytao.wordpress.com/?p=8212#comment-470146[…] example, the surface quasi-geostrophic (SQG) equations can be written in this form, as discussed in this previous post. One can view (up to Hodge duality) as a vector potential for the velocity , so it is natural to […]
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By: Finite time blowup for an Euler-type equation in vorticity stream form | What's new
https://terrytao.wordpress.com/2015/04/19/embedding-the-sqg-equation-in-a-modified-euler-equation/#comment-465905
Tue, 02 Feb 2016 07:06:37 +0000http://terrytao.wordpress.com/?p=8212#comment-465905[…] discussed in this previous blog post, a natural generalisation of this system of equations is the […]
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By: hicsuntdracones
https://terrytao.wordpress.com/2015/04/19/embedding-the-sqg-equation-in-a-modified-euler-equation/#comment-454733
Thu, 30 Apr 2015 16:14:01 +0000http://terrytao.wordpress.com/?p=8212#comment-454733just to verify if LaTeX code is accepted in comments: Sorry for the inconveniences.
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By: ...🐺...
https://terrytao.wordpress.com/2015/04/19/embedding-the-sqg-equation-in-a-modified-euler-equation/#comment-454268
Wed, 22 Apr 2015 15:00:41 +0000http://terrytao.wordpress.com/?p=8212#comment-454268Reblogged this on Sống trong đời sống cần có một con mèo.
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By: Nick Pizzo
https://terrytao.wordpress.com/2015/04/19/embedding-the-sqg-equation-in-a-modified-euler-equation/#comment-454242
Tue, 21 Apr 2015 04:47:57 +0000http://terrytao.wordpress.com/?p=8212#comment-454242Very interesting post. Your last sentence made me think of the KdV equation, or the Nonlinear Schrodinger equation, both of which have an infinite number of conservation laws, and both of which are derived from the water wave equations, which only have a handful of conserved quantities (Benjamin and Olver 1980). This is likely a naive question, but is the reason why this happens simply that these asymptotic equations describe less phenomenon, and hence have more restrictions (ie conservation laws) on the behavior of their solutions?
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