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Toan Nguyen's blogFri, 02 Mar 2018 00:05:15 +0000hourly1http://wordpress.com/Comment on Kinetic theory: global solution to 3D Vlasov-Poisson by Bardos-Degond’s solutions to Vlasov-Poisson | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2017/09/06/kinetic-theory-global-solution-to-3d-vlasov-poisson/#comment-62
Fri, 02 Mar 2018 00:05:15 +0000http://nttoan81.wordpress.com/?p=305#comment-62[…] to the Vlasov-Poisson system. Of course, the global smooth solutions are already constructed in the previous lecture, without any restriction on size of initial data (e.g., Pfaffelmoser, Schaeffer ’91), however […]
]]>Comment on Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits by On the non-relativistic limit of Vlasov-Maxwell | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2015/07/01/nonlinear-instability-of-vlasov-maxwell-systems-in-the-classical-and-quasineutral-limits/#comment-60
Tue, 19 Dec 2017 06:22:04 +0000http://nttoan81.wordpress.com/?p=138#comment-60[…] This is proved in Han-Kwan & Toan ’16. […]
]]>Comment on Kinetic Theory, chapter 1: classical kinetic models. by Kinetic Theory, chapter 2: quantum kinetic models | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2017/08/16/kinetic-theory-chapter-1-classical-kinetic-models/#comment-54
Thu, 05 Oct 2017 00:52:30 +0000http://nttoan81.wordpress.com/?p=273#comment-54[…] an analogue of the classical kinetic models introduced in the previous post, in this post, I shall formally derive kinetic models for quantum particles. These particles behave […]
]]>Comment on Kinetic Theory, chapter 1: classical kinetic models. by Kinetic theory: global solution to 3D Vlasov-Poisson | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2017/08/16/kinetic-theory-chapter-1-classical-kinetic-models/#comment-53
Wed, 06 Sep 2017 22:04:47 +0000http://nttoan81.wordpress.com/?p=273#comment-53[…] « Kinetic Theory, chapter 1: classical kinetic models. […]
]]>Comment on Math 505, Mathematical Fluid Mechanics: Notes 1 by Math 505, Mathematical Fluid Mechanics: Notes 2 | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2016/01/11/math-505-mathematical-fluid-mechanics-notes-1/#comment-35
Tue, 05 Jul 2016 07:16:26 +0000http://nttoan81.wordpress.com/?p=165#comment-35[…] Math 505, Mathematical Fluid Mechanics: Notes 1 Instabilities in the mean field limit […]
]]>Comment on Madelung version of Schrödinger: a link between classical and quantum mechanics by cnpde
https://nttoan81.wordpress.com/2015/08/04/madelung-version-of-schrodinger-a-link-between-classical-and-quantum-mechanics/#comment-26
Tue, 11 Aug 2015 15:10:19 +0000http://nttoan81.wordpress.com/?p=150#comment-26http://arxiv.org/abs/1503.06894 http://arxiv.org/abs/1501.06803
I remember there is also another paper by Antonelli and Marcati dealing with the nonviscid case. They proved the global weak solution. However, I am not sure whether the regularity can be improved further by dispersive effect.
]]>Comment on Madelung version of Schrödinger: a link between classical and quantum mechanics by nttoan81
https://nttoan81.wordpress.com/2015/08/04/madelung-version-of-schrodinger-a-link-between-classical-and-quantum-mechanics/#comment-25
Wed, 05 Aug 2015 06:43:36 +0000http://nttoan81.wordpress.com/?p=150#comment-25do you have their reference? thanks!
]]>Comment on Madelung version of Schrödinger: a link between classical and quantum mechanics by cnpde
https://nttoan81.wordpress.com/2015/08/04/madelung-version-of-schrodinger-a-link-between-classical-and-quantum-mechanics/#comment-24
Tue, 04 Aug 2015 21:55:04 +0000http://nttoan81.wordpress.com/?p=150#comment-24Interesting! I remember recently, Vasseur and Yu also use similar quantum potential to prove the global weak solution of compressible NS equation with variable density coefficient.
]]>Comment on Math 597F, Notes 4: Prandtl boundary layer theory by Math 597F, Notes 5: A few examples of 2D boundary layers | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2015/01/12/math-597f-notes-4-prandtl-boundary-layer-theory/#comment-23
Sat, 07 Mar 2015 15:27:44 +0000http://nttoan81.wordpress.com/?p=92#comment-23[…] us give a few examples of boundary layer solutions to the Prandtl problem, derived in the last lecture. In 2D, we recall the Prandtl layer […]
]]>Comment on Math 597F, Notes 2: Inviscid limit problem: absence of a boundary by Math 597F, Notes 3: Inviscid limit in the presence of a boundary | Snapshots in Mathematics !
https://nttoan81.wordpress.com/2015/01/07/math-597f-notes-2-inviscid-limit-problem-absence-of-a-boundary/#comment-22
Sat, 07 Mar 2015 15:26:47 +0000http://nttoan81.wordpress.com/?p=30#comment-22[…] be a smooth domain in that has a nonempty boundary. Consider again the usual NS equations (see equation (1) in the last lecture), accompanied with the classical zero boundary […]
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