Convex integration in fluid dynamics

Duration: 1 hour 3 mins

Share this media item:

Embed this media item:

<iframe width="_width_" height="_height_" src="https://sms.cam.ac.uk/media/3753297/embed" frameborder="0" scrolling="no" allowfullscreen></iframe>

Choose size:

About this item

Available Formats

About this item

Description:	Laszlo Szekelyhidi, Universität Leipzig 5 January 2022 – 14:10 to 15:10


Created:	2022-01-06 09:56
Collection:	Mathematical aspects of turbulence: where do we stand?
Publisher:	Isaac Newton Institute
Copyright:	Laszlo Szekelyhidi
Language:	eng (English)


Abstract:	In the past decade convex integration has been developed into a rather powerful technique for constructing weak solutions to various PDEs of fluid dynamics. Notable examples are the resolution of Onsager’s conjecture and the construction of non-unique weak solutions of the Navier-Stokes equations in various weak function spaces. In this talk I will survey and put in perspective some of the different applications of convex integration, with the aim to get some sense of where limits and possibilities of this theory lie.

Abstract:

In the past decade convex integration has been developed into a rather powerful technique for constructing weak solutions to various PDEs of fluid dynamics. Notable examples are the resolution of Onsager’s conjecture and the construction of non-unique weak solutions of the Navier-Stokes equations in various weak function spaces. In this talk I will survey and put in perspective some of the different applications of convex integration, with the aim to get some sense of where limits and possibilities of this theory lie.

Available Formats

Format	Quality	Bitrate	Size
MPEG-4 Video	640x360	442.66 kbits/sec	204.26 MB	View	Download
WebM	640x360	234.42 kbits/sec	108.17 MB	View	Download
iPod Video	480x270	486.42 kbits/sec	224.45 MB	View	Download
MP3	44100 Hz	252.92 kbits/sec	116.71 MB	Listen	Download
Auto *	(Allows browser to choose a format it supports)