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math.AP2017
Space and time analyticity for inviscid equations of fluid dynamics
Animikh Biswas, Joshua Hudson
We show that solutions to a large class of inviscid equations, in Eulerian variables, extend as holomorphic functions of time, with values in a Gevrey class (thus space-analytic),…
math.AP2017
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
Animikh Biswas, Ciprian Foias, Cecilia F. Mondaini +1
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map…