1 citations · 1 across the 6 of their papers we have counts for
6 papers
Quantitative Osgood regularity for DiPerna--Lions flows
Henrique Borrin, João Fernando Nariyoshi
We study the spatial regularity of regular Lagrangian flows associated with vector fields in the DiPerna--Lions class \(\boldsymbol b\in L^1((0,T);W^{1,1}_{\loc}(\mathbb R^d)), \)…
A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li, Daniel Marroquin +2
We establish the well-posedness of an initial-boundary value problem of mixed type for a stochastic nonlinear parabolic-hyperbolic equation on a space domain $\cO=\cO'\X\cO''$ wher…
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…
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…
The Strong Trace Property and the Neumann Problem for Stochastic Conservation Laws
Hermano Frid, Yachun Li, Daniel Marroquin +2
We establish the well-posedness of the Neumann problem for stochastic conservation laws with multiplicative noise. As a major step for establishing the uniqueness of the kinetic so…
Global smooth solutions with large data for a system modeling aurora type phenomena in the 2-torus
Hermano Frid, Daniel R. Marroquin, João F. C. Nariyoshi
We prove existence and uniqueness of smooth solutions with large initial data for a system of equations modeling the interaction of short waves, governed by a nonlinear Schrödinger…