Search Results - "Huang, Chaocheng"
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Mathematical modeling for colloidal dispersion undergoing Brownian motion
Published in Applied mathematical modelling (01-02-2009)“…An averaged motion approach for modeling Brownian dynamics for suspension systems of electrically charged particles in liquid is developed. The continuum model…”
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Linking hierarchical stratal architecture to plume spreading in a Lagrangian-based transport model
Published in Water resources research (01-04-2008)“…In this article we present a new formulation of the Lagrangian‐based model for macrodispersion of inert solutes. The formulation is based on a hierarchical…”
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A Variational Principle for the Kramers Equation with Unbounded External Forces
Published in Journal of mathematical analysis and applications (01-10-2000)“…A time discrete variational principle is developed for the Cauchy problem of the Kramers equation with unbounded external force fields. The variational scheme…”
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Domain functionals and exit times for Brownian motion
Published in Proceedings of the American Mathematical Society (01-03-2002)“…Two domain functionals describing the averaged expectation of exit times and averaged variance of exit times of Brownian motion from a domain, respectively,…”
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Variational formulations for Vlasov-Poisson-Fokker-Planck systems
Published in Mathematical methods in the applied sciences (01-06-2000)“…Time‐discrete variational schemes are introduced for both the Vlasov–Poisson–Fokker–Planck (VPFP) system and a natural regularization of the VPFP system. The…”
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AN AGE-DEPENDENT POPULATION MODEL WITH NONLINEAR DIFFUSION IN Rn
Published in Quarterly of applied mathematics (01-06-1994)Get full text
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Transport of kinetically sorbing solutes in heterogeneous sediments with multimodal conductivity and hierarchical organization across scales
Published in Stochastic environmental research and risk assessment (01-03-2015)“…Solute transport in subsurface environments is controlled by geological heterogeneity over multiple scales. In reactive transport characterized by a low…”
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Modeling Groundwater in Multimodal Porous Media with Localized Decompositions
Published in Mathematical geosciences (01-08-2008)“…In the present paper, a new stochastic framework is introduced to decompose random variables. This decomposition method is shown to better capture and reflect…”
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Transport in heterogeneous sediments with multimodal conductivity and hierarchical organization across scales
Published in Journal of hydrology (Amsterdam) (15-07-2004)“…We consider here the Lagrangian approach for stochastic modeling of the transport of inert solutes in porous media. A general global covariance function of log…”
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GLOBAL SOLUTIONS TO THE LAKE EQUATIONS WITH ISOLATED VORTEX REGIONS
Published in Quarterly of applied mathematics (01-12-2003)“…The vorticity formulation for the lake equations in R² is studied. We assume that the initial vorticity has the form ω(x, 0) = ω₀ (x)χΩ̅₀, where the initial…”
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Singular Integral System Approach to Regularity of 3D Vortex Patches
Published in Indiana University mathematics journal (2001)“…The regularity of 3D vortex patches, which are weak solutions to the three dimensional incompressible Euler system with discontinuous initial data, is studied…”
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A free boundary problem with nonlinear jump and kinetics on the free boundaries
Published in Nonlinear analysis (01-08-1999)Get full text
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Global solutions for dynamical systems modeling motion of charged particles
Published in Nonlinear analysis (01-12-1997)Get full text
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Reactive solute transport in physically and chemically heterogeneous porous media with multimodal reactive mineral facies: The Lagrangian approach
Published 21-11-2014“…Physical and chemical heterogeneities have a large impact on reactive transport in porous media. Examples of heterogeneous attributes affecting reactive mass…”
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Averaged Motion of Charged Particles in a Curved Strip
Published in SIAM journal on applied mathematics (01-12-1997)“…This paper is concerned with the motion of electrically charged particles in a "curved" infinite strip. The system is Δφ = -P, ∂2ψ/∂ t2= -∇ φ(ψ, t), and P =…”
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A note on upscaling retardation factor in hierarchical porous media with multimodal reactive mineral facies
Published 21-11-2014“…We present a model for upscaling the time-dependent effective retardation factor in hierarchical porous media with multimodal reactive mineral facies. The…”
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Homogenization methods in partial differential equations and modeling multiphase materials
Published 01-01-1995“…This thesis concerns with homogenization of partial differential equations with random structures. Several mathematical models of non-homogeneous media such as…”
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Dissertation -
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Averaged Motion of Charged Particles under Their Self-Induced Electric Field
Published in Indiana University mathematics journal (01-12-1994)“…In this paper we consider the averaged equations for a large number of small balls of uniform mass and charge moving under the force of their self-electric…”
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On the representation of the joint spectrum for a commutingn-tuple of non-normal operators
Published in Acta mathematica Sinica. English series (01-09-1987)Get full text
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