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1991 Vol. 21, No. 4

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1991, 21(4): . doi: 10.6052/1000-0992-1991-4-J1991-047
Abstract(1284) PDF(510)
Abstract:
INERTIAL MANIFOLDS AND ATTRACTORS IN INFINITE DIMENSIONAL DYNAMICAL SYSTEMS
1991, 21(4): 421-429. doi: 10.6052/1000-0992-1991-4-J1991-048
Abstract(2164) PDF(855)
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This paper reviews the development in studies of infinite dimensional dynamical systems in recent years, together with their basic theory and some results in relation with inertial manifold and attractor. A discussion is made on their development in future.
1991, 21(4): 429-536. doi: 10.6052/1000-0992-1991-4-J1991-049
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1991, 21(4): 430-443. doi: 10.6052/1000-0992-1991-4-J1991-050
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STUDIES ON TURBULENCE IN VEGETATION
1991, 21(4): 444-456. doi: 10.6052/1000-0992-1991-4-J1991-051
Abstract(1814) PDF(613)
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The present paper surveys advances in experimental and theoretical studies on turbulence in vegetation in recent years.The experimental results show that the turbulence in vegetation is high skewed,kurtotic and intermittent,and that turbulence transport processes in vegetation are dominated by large intermittent eddies. The plant elements, such as leaves, stems and branches generate turbulent wake with length scales smaller than those produced by meanwind shear. The smaller-sized, wake-generated turbulence ...
MECHANICAL BEHAVIOUR OF CELLULAR SOLIDS
1991, 21(4): 457-469. doi: 10.6052/1000-0992-1991-4-J1991-052
Abstract(1920) PDF(845)
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Materials with a cellular structure have unique mechanical properties, and find increasingly wider use in engineering. Man-made cellular materials can be categorized into those of honeycomb type and foam type. This paper reviews recent studies on mechanical behaviour of materials of both honeycomb type and foam type under various loading conditions. Cellular structures of ,some natural materials, such as wood and cancellous bone, and their models arc described briefly as well.
BACKLUND TRANSFORMATIONS AND ITS NEW METHOD
1991, 21(4): 470-481. doi: 10.6052/1000-0992-1991-4-J1991-053
Abstract(2609) PDF(790)
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In this paper, first we briefly survey the evolution of the theory of Backlund transformation, then a new method for seeking Backlund transformations for differential equations, the Wahlquist-Estabrook procedure, is outlined. This method is the most effective approach to date for treating Backlund problem of differential equations. Although it is theoretically applicable to systems of partial differential equations with any dimensions, this method is actually limited for problems which are mainly two-dimens...
RECENT ADVANCES IN NONLINEAR MULTIVARIABLE FINITE ELEMENT METHODS
1991, 21(4): 482-490. doi: 10.6052/1000-0992-1991-4-J1991-054
Abstract(1385) PDF(690)
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In this paper, the variational fouodations of nonlinear multivariablc finite elements, which include nonlinear hybrid elements and quasi-conforming elements are presented together with their recent advances.
MATHEMATICAL MODELS FOR PROBLEMS WITH MOVING BOUNDARIES
1991, 21(4): 491-496. doi: 10.6052/1000-0992-1991-4-J1991-055
Abstract(1819) PDF(724)
Abstract:
For incompressible flows, there are two kinds of moving boundary problems, i.e. the steady case, such as the over-gate flow with constant elevation, spillway, wiers and jet flows; the unsteady case, sueh as the liquid sloshing in a container. The principal difficulty of these problems lies in the undetermined free surfaces, where an iterative scheme has to be used together with the correction of the network in computation. In particular, the computational effort will be considerable because of the strong no...
1991, 21(4): 497-506. doi: 10.6052/1000-0992-1991-4-J1991-056
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1991, 21(4): 507-521. doi: 10.6052/1000-0992-1991-4-J1991-057
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1991, 21(4): 522-529. doi: 10.6052/1000-0992-1991-4-J1991-058
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1991, 21(4): 530-537. doi: 10.6052/1000-0992-1991-4-J1991-059
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1991, 21(4): 538-543. doi: 10.6052/1000-0992-1991-4-J1991-060
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1991, 21(4): 544-555. doi: 10.6052/1000-0992-1991-4-J1991-061
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1991, 21(4): 556-558. doi: 10.6052/1000-0992-1991-4-J1991-062
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1991, 21(4): 556-561. doi: 10.6052/1000-0992-1991-4-J1991-063
Abstract(880) PDF(596)
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