My initial take on: “ILL-POSEDNESS OF LERAY SOLUTIONS FOR THE IPODISSIPATIVE NAVIER–STOKES EQUATIONS”

Last year, 2017 (Happy New Year! Holla!) a friend of mine pointed out this relatively new results on archive using convex integration.

“ILL-POSEDNESS OF LERAY SOLUTIONS FOR THE IPODISSIPATIVE NAVIER–STOKES EQUATIONS” by MARIA COLOMBO, CAMILLO DE LELLIS, AND LUIGI DE ROSA

Where these talented mathematicians show an early result on the failure of highly touted Leray solutions for a variant of the navier-stokes problem.

Continue reading My initial take on: “ILL-POSEDNESS OF LERAY SOLUTIONS FOR THE IPODISSIPATIVE NAVIER–STOKES EQUATIONS”

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Bookmark Dump: Resources I used when studying for UT-Austin’s analysis prelim

I took my prelim analysis about 3 years ago and I remember wanting to write down all of my solutions so that I could share it later for anyone else who is studying for prelims in the future, but ultimately I didn’t do any of that 😛

Continue reading Bookmark Dump: Resources I used when studying for UT-Austin’s analysis prelim

Xiaomi, a current Chinese Tech startup: Innovations and Challenges

Yo! I’ve been doing some recent reading on tech business news and these two stories about Chinese tech innovation caught my eye. Xiaomi, a tech darling in China founded in 2010 whose CEO was once called the “Steve Jobs” of China. In the following two posts, I learned about how Xiaomi innovated its way to success in the competitive tech industry, but also why this company subsequently struggled with to maintain its success.

Continue reading Xiaomi, a current Chinese Tech startup: Innovations and Challenges

A couple video lectures of new results in Navier Stokes

THE GENERALIZED CAFFARELLI-KOHN-NIRENBERG THEOREM FOR THE HYPERDISSIPATIVE NAVIER-STOKES SYSTEM

I stumbled across the following video of the OG creator of convex integration Camillo De Lellis. He, his postdoc Maria Colombo, and one other collaborator have a new result posted to ArXiv (see here) this earlier month attempting to generalize the navier-stokes equations to non-local dissipation and prove a partial regularity result analogous to the Cafarelli-Kohn-Nirenberg.

Continue reading A couple video lectures of new results in Navier Stokes

To my math people: “Please dress better” ;)

Haha, I’m just kidding. Dress however you feel most comfortable and be a good person. That’s what’s really important.

But…when I was an undergrad, all my math friends and I dressed … not so great. I personally loved over sized t-shirts and stretchy basketball shorts. All. The. Freaking. Time. (Even if it was snowing)

Continue reading To my math people: “Please dress better” 😉