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math.AP2024
On the convergence of trajectory statistical solutions
Anne C. Bronzi, Cecilia F. Mondaini, Ricardo M. S. Rosa
In this work, a recently introduced general framework for trajectory statistical solutions is considered, and the question of convergence of families of such solutions is addressed…
math.AP2024
On the locally self-similar blowup for the generalized SQG equation
Anne Bronzi, Ricardo Guimarães, Cecilia Mondaini
We analyze finite-time blowup scenarios of locally self-similar type for the inviscid generalized surface quasi-geostrophic equation (gSQG) in . Under an growth…