9 citations · 16 across the 17 of their papers we have counts for
18 papers · 1 filter
On short wave-long wave interactions\\ in the relativistic context: Application to the Relativistic Euler Equations
João Paulo Dias, Hermano Frid
In this paper we introduce a model of relativistic short wave-long wave interaction where the short waves are described by the massless -dimensional Thirring model of nonlinea…
Invariant measures for stochastic parabolic-hyperbolic equations in the space of almost periodic functions: Lipschitz flux case
Claudia Espitia, Hermano Frid, Daniel Marroquin
We study the well-posedness and the long-time behavior of almost periodic solutions to stochastic degenerate parabolic-hyperbolic equations in any space dimension, under the assump…
Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions
Claudia Espitia, Hermano Frid, Daniel Marroquin
We study the long-time behavior of almost periodic solutions to stochastic scalar conservation laws in any space dimension, under the assumption of Lipschitz continuity of the flux…
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…
On short wave-long wave interactions in the relativistic context
João Paulo Dias, Hermano Frid
In this paper we introduce models of short wave-long wave interactions in the relativistic setting. In this context the nonlinear Schrödinger equation is no longer adequate for des…
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…
Homogenization of Stochastic Conservation Laws with Multiplicative Noise
Hermano Frid, Kenneth H. Karlsen, Daniel Marroquin
We consider the generalized almost periodic homogenization problem for two different types of stochastic conservation laws with oscillatory coefficients and multiplicative noise. I…
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…
Asymptotic Decay of Besicovitch Almost Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li
We prove the well-posedness and the asymptotic decay to the mean value of Besicovitch almost periodic entropy solutions to nonlinear aniso\-tropic degenerate parabolic-hyperbolic e…
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)…
An extension of Bakhvalov's theorem for systems of conservation laws with damping
Hermano Frid
For $2\X2$ systems of conservation laws satisfying Bakhvalov conditions, we present a class of damping terms that still yield the existence of global solutions with periodic initia…
On the Decay of Almost Periodic Solutions of Anisotropic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid
We discuss the well-posedness and decay of Besicovitch almost periodic solutions for a class of nonlinear degenerate anisotropic hyperbolic-parabolic equations. In our definition o…
A Boundary Value Problem for a Class of Anisotropic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li
We consider a mixed type boundary value problem for a class of degenerate parabolic-hyperbolic equations. Namely, we consider a Cartesian product domain and split its boundary into…
A note on the stochastic weakly* almost periodic homogenization of fully nonlinear elliptic equations
Hermano Frid
A function $f\in \BUC(\R^d)$ is said to be weakly* almost periodic, denoted $f\in\APs(\R^d)$, if there is $g\in\AP(\R^d)$, such that, $\oM(|f-g|)=0$, where $\BUC(\R^d)$ and $\AP(\R…
Homogenization of a generalized Stefan Problem in the context of ergodic algebras
Hermano Frid, Jean Silva, Henrique Versieux
We address the deterministic homogenization, in the general context of ergodic algebras, of a doubly nonlinear problem which generalizes the well known Stefan model, and includes t…
Homogenization of Degenerate Porous Medium Type Equations in Ergodic Algebras
Hermano Frid, Jean Silva
We consider the homogenization problem for general porous medium type equations of the form $u_t=\D f(x,\frac{x}{\ve}, u)$. The pressure function may be of two diffe…
solutions for a model of polytropic gas flow with diffusive entropy
Hermano Frid, Helge Holden, Kenneth H. Karlsen
We establish the global existence of solutions for a model of polytropic gas flow with diffusive entropy. The result is obtained by showing the convergence of a class of…