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Model predictive control of Burgers equation based on Galerkin models
2013 American Control Conference, 2013A feedback control design for Burgers equation is proposed using a model predictive control approach. A low-order POD Galerkin model derived from a numerical simulation of Burgers equation is used as internal controller model. The reduced-order model accurately predicts the system dynamics as a function of the actuated Dirichlet boundary condition ...
Mathias Hakenberg, Dirk Abel
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Burgers turbulence model for a channel flow
Journal of Fluid Mechanics, 1971The truncated Burgers models have a unique equilibrium state which is defined continuously for all the Reynolds numbers and attainable from a realizable class of initial disturbances. Hence, they represent a sequence of convergent approximations to the original (untruncated) Burgers problem.
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Passive Scalar Advection in Burgers Turbulence: Mapping-Closure Model
International Journal of Theoretical Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Burger's Original Model of Turbulence.
AIAA Journal, 2005S. K. Versteeg, J. K. Clutter
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On the correlation function in Burgers’ model of turbulence
Applied Scientific Research, 1954The equation for the correlation function in Burgers’ recent approach (Istanbul, 1952) is investigated. It is shown that the parameter β must have the value zero. Both from qualitative arguments and numerical integration, it appears that the solution of the equation is consistent with experiments; thus Burgers’ approach might be profitably pursued.
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Relativistic Burgers Models on Curved Background Geometries
2019Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed for the corresponding model on the related geometry.
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Model-based control of the Burgers equation
Physical Review A, 1991, Shermer, , Hübler, , Packard
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The biofilm life cycle: expanding the conceptual model of biofilm formation
Nature Reviews Microbiology, 2022Karin Sauer +2 more
exaly
Machine learning methods to model multicellular complexity and tissue specificity
Nature Reviews Materials, 2021Aaron K Wong, Olga G Troyanskaya
exaly

