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Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 02/2019, Volume 224, pp. 25 - 36
In this paper, the vector radiative transfer equation is derived by means of the vector integral Foldy equations describing the electromagnetic scattering by a... 
Discrete random media | Dyson equation | Electromagnetic scattering | Bethe–Salpeter equation | Radiative transfer theory | Frequency-domain macroscopic electromagnetics | SPECTROSCOPY | OPTICS | Bethe-Salpeter equation | SCATTERING
Journal Article
2005, Interaction of mechanics and mathematics series, ISBN 3540245421, xiv, 258
Book
International Journal of Engineering Science, ISSN 0020-7225, 04/2016, Volume 101, pp. 45 - 49
The aim of this short note is to point out the inconsistency of the Cattaneo–Vernotte law. This law is assumed to be valid at a scale of a few mean free paths... 
Homogenization | Cattaneo–Vernotte equation | Fourier thermoelastic media | Macroscopic model | Hyperbolic thermoelastic heat equation | Cattaneo-Vernotte equation | ENGINEERING, MULTIDISCIPLINARY | CONDUCTION | LEQUATION | LA CHALEUR | Adiabatic flow | Separation | Equivalence | Mean free path | Mathematical analysis | Fourier analysis | Acoustics | Heat equations
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 11/2019, Volume 188, pp. 236 - 264
Journal Article
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 02/2018, Volume 376, Issue 2113, p. 20170327
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2015, Volume 75, Issue 3, pp. 1369 - 1401
Effective Poisson-Nernst-Planck (PNP) equations are derived for ion transport in charged porous media under forced convection (periodic flow in the frame of... 
Electromigration | Porous media | Membranes | Homogenization | Poisson-Nernst-Planck | Diffusion | Equations | MATHEMATICS, APPLIED | diffusion | MACROTRANSPORT | APPROXIMATION | Poisson-Nernst-Planck equations | MODEL | electromigration | CONCENTRATION POLARIZATION | MACROSCOPIC EQUATIONS | membranes | NANOFLUIDIC DEVICES | homogenization | TAYLOR DISPERSION | porous media | FREE-ENERGY | TORTUOSITY
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 11/2018, Volume 220, pp. 123 - 139
In this paper, we revisit, with further enhancements and clarifications, the self-consistent first-principles approach developed previously for deriving the... 
Discrete random media | Ladder diagrams | Foldy equations | Electromagnetic scattering | Radiative transfer theory | Frequency-domain macroscopic electromagnetics | SPECTROSCOPY | OPTICS | Air pollution | Electromagnetism | Analysis | Methods
Journal Article
JOURNAL OF PHYSICS-CONDENSED MATTER, ISSN 0953-8984, 02/2020, Volume 32, Issue 6, p. 65304
Using two pairs of macroscopic equations deduced from a dipole lattice model including electronic polarization (EP) of ions and local field effects (LFEs)... 
2D polar crystals | PHONON-DISPERSION | PHYSICS, CONDENSED MATTER | CONSTANTS | optical phonons | macroscopic equations | lattice dynamics | GRAPHITE | local field effects | BN | AB-INITIO CALCULATION
Journal Article
Nonlinearity, ISSN 0951-7715, 10/2018, Volume 31, Issue 12, pp. 5441 - 5462
We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one... 
diffusive macroscopic equations | Onsager coefficients | nonequilibrium stationary states | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | FLUCTUATIONS | Physics - Statistical Mechanics
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 08/2019, Volume 2132, Issue 1
We derive hydrodynamic equations from a consistent BGK model for inert mixtures, which preserves the structure of the original Boltzmann equations, with a sum... 
Kinetic equations | Computational fluid dynamics | BGK model | Macroscopic equations | Mathematical models | Hydrodynamic equations | Rare gases | Collision dynamics | Gas mixtures
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 10/2009, Volume 146, Issue 1, pp. 189 - 222
A class of quasilinear stochastic partial differential equations (SPDEs), driven by spatially correlated Brownian noise, is shown to become macroscopic (i.e.,... 
Stochastic ordinary differential equations | Stochastic partial differential equations | Exchangeable sequences | Partial differential equations | Macroscopic limit | Particle systems | TRIANGULAR ARRAYS | DIFFUSIONS | STATISTICS & PROBABILITY | Noise control | Studies | Stochastic models | Brownian movements
Journal Article
Annals of Physics, ISSN 0003-4916, 11/2015, Volume 362, pp. 482 - 510
We show how a candidate mean-field amplitude can be constructed from the exact wave function of an externally forced -Boson system. The construction makes use... 
Macroscopic wave function | Nonequilibrium quantum dynamics | Strongly driven quantum systems | Quantum chaos | Coherence | DERIVATION | INSTABILITY | PHYSICS, MULTIDISCIPLINARY | BOSE-EINSTEIN CONDENSATE | CONSERVING BOGOLIUBOV METHOD | VORTEX | DYNAMICS | BODY APPROXIMATION METHODS | VALIDITY | SOLVABLE MODEL | Physics - Quantum Gases
Journal Article
Journal of Experimental and Theoretical Physics, ISSN 1063-7761, 7/2018, Volume 127, Issue 1, pp. 131 - 142
Journal Article
Physics of Fluids, ISSN 1070-6631, 09/2017, Volume 29, Issue 9, p. 92004
The regularized 13 moment (R13) equations are a macroscopic model for the description of rarefied gas flows in the transition regime. The equations have been... 
SHOCK STRUCTURE | DERIVATION | MECHANICS | MOMENT EQUATIONS | KINETIC-THEORY | TEMPERATURE | PHYSICS, FLUIDS & PLASMAS | MODEL | REGULARIZATION | FLOW | EVAPORATION/CONDENSATION | Half spaces | Computational fluid dynamics | Fluid flow | Boundary conditions | Hydrodynamics | Macroscopic models | Liquid surfaces | Evaporation | Kinetic theory | Condensation | Rarefied gas dynamics | Rarefied gases
Journal Article