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Keyword

effective equations

Description: Effective equations are reduced or approximate equations that describe the relevant dynamics of a complex system while incorporating the influence of unresolved details.
OpenAlex ID: keywords/effective-equations
Effective equations for wave propagation in bubbly liquids
1985 · Russel E. Caflisch, Michael J. Miksis, et al. · Journal of Fluid Mechanics · 330
The General Theory of Homogenization
2009 · Luc Tartar · Lecture notes of the Unione Matematica Italiana · 243
Uniform convergence to an effective Fokker-Planck equation for weakly colored noise
1986 · Ronald Forrest Fox · Physical Review A · 241
The General Theory of Homogenization: A Personalized Introduction
2009 · Luc Tartar · 240
Some Applications of the Homogenization Theory
1996 · Chiang C. Mei, Jean-Louis Auriault, et al. · Advances in applied mechanics · 197
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
1994 · A J Majda, P E Souganidis · Nonlinearity · 175
Numerical Techniques for Multi-Scale Dynamical Systems with Stochastic Effects
2003 · Eric Vanden-Eijnden · Communications in Mathematical Sciences · 174
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Conformal anomaly in a two-dimensional sigma model on a curved background and strings
1986 · A.A. Tseytlin · Physics Letters B · 159
Anomaly freedom in perturbative loop quantum gravity
2008 · Martin Bojowald, Golam Mortuza Hossain, et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 157
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Renormalization Group and Stochastic PDEs
2015 · Antti Kupiainen · Annales Henri Poincaré · 150
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Asymptotic and numerical homogenization
2008 · B. Engquist, P. E. Souganidis · Acta Numerica · 143
An effective approach to the problem of time
2011 · Martin Bojowald, Philipp A Höhn, et al. · Classical and Quantum Gravity · 120
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Homogenization of linear and nonlinear transport equations
1992 · E. Weinan · Communications on Pure and Applied Mathematics · 110
Homogenization
2007 · G. Chechkin, A. Piatnitski, et al. · Translations of mathematical monographs · 108
Loop Quantum Cosmology
2017 · Ivan Agullo, Parampreet Singh · WORLD SCIENTIFIC eBooks · 107
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Quantum Gravity and Higher Curvature Actions
2007 · MARTIN BOJOWALD, AURELIANO SKIRZEWSKI · International Journal of Geometric Methods in Modern Physics · 96
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Wave propagation in bubbly liquids at finite volume fraction
1985 · Russel E. Caflisch, Michael J. Miksis, et al. · Journal of Fluid Mechanics · 95
Steering Chiral Swimmers along Noisy Helical Paths
2009 · Benjamin M. Friedrich, Frank Jülicher · Physical Review Letters · 93
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Why are the effective equations of loop quantum cosmology so accurate?
2014 · Carlo Rovelli, Edward Wilson-Ewing · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 91
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Effective Equations Modeling the Flow of a Viscous Incompressible Fluid through a Long Elastic Tube Arising in the Study of Blood Flow through Small Arteries
2003 · Suncica Canic, Andro Mikelic · SIAM Journal on Applied Dynamical Systems · 89
A covariant and gauge invariant formulation of the cosmological ``backreaction''
2010 · M Gasperini, G Marozzi, et al. · Journal of Cosmology and Astroparticle Physics · 76
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Wavelet-Based Numerical Homogenization with Applications
2002 · Björn Engquist, Olof Runborg · Lecture notes in computational science and engineering · 76
Cosmological perturbations in hybrid loop quantum cosmology: Mukhanov-Sasaki variables
2014 · Laura Castelló Gomar, Mikel Fernández-Méndez, et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 75
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Entropy Production in Stochastic Systems with Fast and Slow Time-Scales
2014 · Stefano Bo, Antonio Celani · Journal of Statistical Physics · 75
Effective constraints for relativistic quantum systems
2009 · Martin Bojowald, Artur Tsobanjan · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 75
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Works count: 496
Citation count: 7,021
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