Congrats to Sal!

Last week, Salvatore Calatola-Young presented his Senior Synthesis project: “A Method for Deriving Conservation Laws for Water Waves”. In this talk, he presented the culmination of 3 years of research with me during his time as an undergraduate.

It wasn’t easy work, but he nailed it.

In summary, Sal showed how Olver’s conserved densities for the water-wave problem can be derived directly from a weak formulation without using the Lie Symmetries. Of course, Sal didn’t stop there! He extended the work for waves traveling over linear shear (constant vorticity), as well as multilayer flows. There’s a lot left to be explored here – and we’re working to bring it all together.

You can find the first in a series of papers available on the ArXiV (https://arxiv.org/abs/2105.07580).

Picture a Scientist

After not being able to sleep last night, a social media site recommended the video: “Picture a Scientist” (NOVA/PBS, Aired 4/14/21).

I thought it would be a short video clip; but for 1 hour and 33 minutes, I was fixated. There’s a lot here to unpack and I’m still processing my thoughts. It’s given me a lot to think about. I hope that I’ll find both the time and courage to share my thoughts. For now, I encourage you to check it out; I’d love to know what you think.

In short, it’s a good reminder of where we were, where we are, and (via the example of the women highlighted in the film) that we can having meaningful impact to make things better future generations of underrepresented groups in STEM.

SIAM Activity Group in Quantitative Justice

Skylar Grey from Wisconsin-Madison and AJ Stewart (from Seattle Unversity – soon to be the AMS Congressional Fellow) are submitting a proposal to SIAM for an activity group in Quantitative Justice.

If you aren’t aware, SIAM activity groups are a really great infrastructure for research and community in specific topics. In order for the SIAM board to approve the creation of the group we need to collect signatures.

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Finding Conservation Laws

In joint work with Sal, we have finally written down the systematic process for deriving all of Olver’s conservation laws for the water-wave problem from our nonlocal-nonlocal formulation. This post outlines the current state of deriving the conservation laws from this Nonlocal-Nonlocal formulation discussed in the A Weak Formulation of Water Waves in Surface Variables. Click Continue Reading… to learn a little bit more about the process.

Snapshot of fluid domain
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Thinking more about multiple scales

[mathjax] Perhaps this is widely known, but I got a bit stuck-in-the-weeds thinking about applying multiple scales to problems with nonlocal operators. I have honestly been a bit unsatisfied with the literature that I have found on this scenario – that said, if you have any suggestions or references, please feel free to leave them in the comments! Continue reading to see what I’ve been thinking about.

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