Please use this identifier to cite or link to this item: https://apo.ansto.gov.au/dspace/handle/10238/370
Title: Derivation of a macroscale formulation for a class of nonlinear partial differential equations.
Authors: Pantelis, G
Keywords: Differential equations
Fluid flow
Simulation
Porous materials
Issue Date: May-1995
Publisher: Australian Nuclear Science and Technology Organisation
Citation: Pamtelis, G. (1995). Derivation of a macroscale formulation for a class of nonlinear partial differential equations (ANSTO/E722). Lucas Heights, NSW: Australian Atomic Energy Commission.
Abstract: A macroscale formulation is constructed from a system of partial differential equations which govern the microscale dependent variables. The construction is based upon the requirement that the solutions of the macroscale partial differential equations satisfy in some approximate sense the system of partial differential equations associated with the microscale. These results are restricted to the class of nonlinear partial differential equations which can be expressed as polynomials of the dependent variables and their partial derivatives up to second order. A linear approximation of transformations of second order contact manifolds is employed.
Gov't Doc #: 201
URI: http://apo.ansto.gov.au/dspace/handle/10238/370
ISBN: 0642599602
ISSN: 10307745
Appears in Collections:Scientific and Technical Reports

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