Search Results for author: Michael S. Jolly

Found 2 papers, 0 papers with code

On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces

no code implementations18 Jan 2021 Michael S. Jolly, Anuj Kumar, Vincent R. Martinez

This paper studies the dissipative generalized surface quasi-geostrophic equations in a supercritical regime where the order of the dissipation is small relative to order of the velocity, and the velocities are less regular than the advected scalar by up to one order of derivative.

Analysis of PDEs 76D03, 35Q35, 35Q86, 35K59, 35B65, 34K37

Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation

no code implementations1 Sep 2018 Michael S. Jolly, Vincent R. Martinez, Eric J. Olson, Edriss S. Titi

An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time.

Analysis of PDEs Optimization and Control 35Q35, 35Q86, 35Q93, 37B55, 74H40, 93B52

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