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Continuum Modeling

The mathematical practice of applying a model to continuous data which has a potentially infinite number, and divisibility, of attributes.
National Institutes of Health

Papers overview

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2019
2019
Modeling of the interaction of rigid wheels with dry granular media
Highly Cited
2014
Highly Cited
2014
Noise-induced multistability in chemical systems: Discrete versus continuum modeling.
The noisy dynamics of chemical systems is commonly studied using either the chemical master equation (CME) or the chemical Fokker… 
Highly Cited
2011
Highly Cited
2011
Atomistic simulation and continuum modeling of graphene nanoribbons under uniaxial tension
Atomistic simulations are performed to study the nonlinear mechanical behavior of graphene nanoribbons under quasistatic uniaxial… 
Highly Cited
2009
Highly Cited
2009
Characterizing the fracture parameters of a graphene sheet using atomistic simulation and continuum mechanics
Highly Cited
2009
Highly Cited
2009
Dynamic continuum pedestrian flow model with memory effect.
In this paper, we develop a macroscopic model for pedestrian flow using the dynamic continuum modeling approach. We consider a… 
2009
2009
Atomistic and continuum modeling of nanocrystalline materials : deformation mechanisms and scale transition
Fabrication Processes.- Structure, Mechanical Properties, and Applications of Nanocrystalline Materials.- Bridging the Scales… 
Highly Cited
2007
Highly Cited
2007
Electrodiffusion: a continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution.
A computational framework is presented for the continuum modeling of cellular biomolecular diffusion influenced by electrostatic… 
Highly Cited
2005
Highly Cited
2005
Nanosecond freezing of water under multiple shock wave compression: continuum modeling and wave profile measurements.
Using real time optical transmission and imaging measurements in multiple shock wave compression experiments, water was shown to… 
Review
2003
Review
2003
Atomistic and continuum modeling of dendritic solidification
Highly Cited
2002
Highly Cited
2002
On the porous‐continuum modeling of gravity‐driven fingers in unsaturated materials: Extension of standard theory with a hold‐back‐pile‐up effect
The traditional Richards equation (RE) in combination with standard monotonic properties (constitutive relations and hysteretic… 
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