5 papers
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…
Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multi-Dimensional Large MHD Flows
Hermano Frid, Daniel R. Marroquin, Ronghua Pan
We establish the convergence of an approximation scheme to a model for aurora type phenomena. The latter, mathematically, means a system describing the short wave-long wave (SW-LW)…
Vanishing Viscosity Limit of Short Wave-Long Wave Interactions in Planar Magnetohydrodynamics
Daniel R. Marroquin
We study several mathematical aspects of a system of equations modelling the interaction between short waves, described by a nonlinear Schrödinger equation, and long waves, describ…