Homogenization of thermal-hydro-mass transfer processes

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2015-02-01

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Abstract

In the repository, multi-physics processes are induced due to the long-time heat-emitting from the nuclear waste, which is modeled as a nonlinear system with oscillating coefficients. In this paper we first derive the homogenized system for the thermal-hydro-mass transfer processes by the technique of two-scale convergence, then present some error estimates for the first order expansions.

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10.3934/dcdss.2015.8.55

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Xu, S, and X Yue (2015). Homogenization of thermal-hydro-mass transfer processes. Discrete and Continuous Dynamical Systems - Series S, 8(1). pp. 55–76. 10.3934/dcdss.2015.8.55 Retrieved from https://hdl.handle.net/10161/27457.

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Xu

Shixin Xu

Assistant Professor of Mathematics at Duke Kunshan University

Shixin Xu is an Assistant Professor of Mathematics.   His research interests are machine learning and data-driven models for diseases,  multiscale modeling of complex fluids, Neurovascular coupling, homogenization theory, and numerical analysis.  The current projects he is working on are

  • image data-based for the prediction of hemorrhagic transformation in acute ischemic stroke,
  • electrodynamics modeling of saltatory conduction along a myelinated axon
  • electrochemical modeling
  • fluid-structure interaction with mass transportation and reaction

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