131 citations · 233 across the 19 of their papers we have counts for
25 papers
On Galerkin approximations of the Navier-Stokes equations in the limit of large Grashof numbers
Ciprian Foias, Luan Hoang, Michael S. Jolly
We examine how stationary solutions to Galerkin approximations of the Navier--Stokes equations behave in the limit as the Grashof number tends to . An appropriate scali…
Convergence of a mobile data assimilation scheme for the 2D Navier-Stokes equations
Animikh Biswas, Zachary Bradshaw, Michael Jolly
We introduce a localized version of the nudging data assimilation algorithm for the periodic 2D Navier-Stokes equations in which observations are confined (i.e., localized) to a wi…
Data Assimilation with Higher Order Finite Element Interpolants
Michael S. Jolly, Ali Pakzad
The efficacy of a nudging data assimilation algorithm using higher order finite element interpolating operators is studied. Numerical experiments are presented for the 2D Navier-St…
Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
Yu Cao, Andrea Giorgini, Michael Jolly +1
We analyze continuous data assimilation by nudging for the 3D Ladyzhenskaya equations. The analysis provides conditions on the spatial resolution of the observed data that guarante…
On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces
Michael S. Jolly, Anuj Kumar, Vincent R. Martinez
This paper studies a family of generalized surface quasi-geostrophic (SQG) equations for an active scalar on the whole plane whose velocities have been mildly regularized, for…
On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces
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 ve…