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math.AP2020
Critical velocity averaging lemmas
João Fernando Nariyoshi
We prove new velocity averaging lemmas for multi-dimensional hyperbolic-parabolic partial differential equations. These theorems may be applied to establish several compactness res…
math.AP2020
On Hodge decomposition, effective viscous flux and compressible Navier-Stokes
Hermano Frid, Daniel Marroquin, João F. C. Nariyoshi
It has been known, since the pioneering works by Serre, Hoff, Vaĭgant-Kazhikhov, Lions and Feireisl, among others, the regularizing properties of the effective viscous flux and its…