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Search Results: 1 - 10 of 89014 matches for " CHEN Ling "
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The Technique of the Immersed Boundary Method: Application to Solving Shape Optimization Problem  [PDF]
Ling Rao, Hongquan Chen
Journal of Applied Mathematics and Physics (JAMP) , 2017, DOI: 10.4236/jamp.2017.52030
Abstract:
We present a numerical method based on genetic algorithm combined with a fictitious domain method for a shape optimization problem governed by an elliptic equation with Dirichlet boundary condition. The technique of the immersed boundary method is incorporated into the framework of the fictitious domain method for solving the state equations. Contrary to the conventional methods, our method does not make use of the finite element discretization with obstacle fitted meshes. It conduces to overcoming difficulties arising from re-meshing operations in the optimization process. The method can lead to a reduction in computational effort and is easily programmable. It is applied to a shape reconstruction problem in the airfoil design. Numerical experiments demonstrate the efficiency of the proposed approach.
Tetraaquabis(4,4′-bipyridine)zinc(II) bis(trans-4-hydroxycinnamate)
Ling Chen
Acta Crystallographica Section E , 2009, DOI: 10.1107/s1600536809023204
Abstract: The title complex, [Zn(C10H8N2)2(H2O)4](C9H7O3)2, was obtained by the hydrothermal reaction of zinc sulfate with mixed 4-hydroxylcinnamic acid (H2L) and 4,4′-bipyridine (4,4′-bipy) ligands. The complex consists of a centrosymmetric [Zn(4,4′-bipy)2(H2O)4]2+ cation with the metal centre in a distorted ZnN2O4 coordination, and of two HL anions. Extensive O—H...O and O—H...N hydrogen-bonding interactions between the constituents lead to the formation of a three-dimensional network.
cyclo-Tetrakis(μ-naphthalene-1,8-dicarboxylato)tetrakis[diaqua(2,2′-bipyridine)manganese(II)] tetrahydrate
Ling Chen
Acta Crystallographica Section E , 2010, DOI: 10.1107/s1600536810049433
Abstract: In the title centrosymmetric tetranuclear complex, [Mn4(C12H6O4)4(C10H8N2)4(H2O)8]·4H2O, two independent MnII ions are coordinated in a slightly disorted octahedral environment by two aqua ligands, two naphthalene-1,8-dicarboxylate (1,8-nap) ligands and one bis-chelating 2,2′-bipyridine (2,2′-bipy) ligand. In the crystal, molecules are linked by intermolecular O—H...O hydrogen bonds into chains along [100]. These chains are further linked by weak π–π interactions with centroid–centroid distances in the range of 3.609 (2)–3.758 (1) , forming a three-dimensional supramolecular network.
catena-Poly[[(1,10-phenanthroline)zinc]-μ-3-[3-(carboxylatomethoxy)phenyl]acrylato]
Ling Chen
Acta Crystallographica Section E , 2012, DOI: 10.1107/s1600536812024610
Abstract: The asymmetric unit of the title compound, [Zn(C11H8O5)(C12H8N2)]n, is composed of a ZnII ion and 3-[3-(carboxylatomethoxy)phenyl]acrylate and 1,10-phenanthroline ligands. The ZnII ion adopts a distorted square-pyramidal ZnN2O3 coordination. The bridging mode of the dianion leads to the formation of zigzag chains parallel to [010]. Intermolecular π–π stacking interactions [centroid–centroid distance of 3.5716 (12) ] lead to the formation of a two-dimensional network parallel to (001).
Preparation and Performance Characteristics of Resin-filled EVAL Hollow Fiber Membrane
Ling Chen
Modern Applied Science , 2009, DOI: 10.5539/mas.v2n1p31
Abstract: Take the ethylene-vinyl alcohol (EVAL) copolymer as the infrastructural material, the anion exchange resin D301R as the functional grains, adopt dry-wet method to make resin-filled EVAL hollow fiber membrane, test the pure water flux of the membrane, the rejection rate of the bovine serum albumin (BSA) and the static absorption performance of BSA. Check the influences of coagulation bath temperature and copolymer mass fraction to pure water flux and rejection rate. The experimental results indicate that the mass fraction of EVAL is 18%, the mass fraction of resin is 24%, and when the temperature of coagulation bath is in 40~50!aC , the repared resin-filled EVAL hollow fiber membrane has good mechanical intensity, high pure water flux, better BSA adsorption performance that the adsorption capacitance can achieve 25.04mgBSA/g membrane.
Effects of purslane herb on stress ability of aging mice induced by D-galactose
LING Chen
Zhong Xi Yi Jie He Xue Bao , 2004,
Abstract: Objective: To investigate the effects of purslane herb aquenous extracts (PHAS) on the stress ability of aging mice induced by D-galactose.Methods: We odserved the survival time to hypoxia and heat survival rate of the mice treated with different doses of PHAS and vitamin E. The contents of lipofuscin and malondialdehyde (MDA), and the activity of superoxide dismutase (SOD) and catalase (CAT) in the brain and liver of the mice were tested. Results: As compared with vitamin E, three doses of PHAS (1.6, 0.8 and 0.4 ml/d) prolonged the survival time to hypoxia and the pole climbing time and increased the heat survival rate, and the 0.8 ml/d PHAS had the best effect.In the group of 0.8 ml/d PHAS, the activity of SOD and CAT decreased less, and the contents of lipofuscin and MDA decreased significantly.The effect of vitamin E was not as good as the PHAS. Conclusion: PHAS can prevent the stress ability of the aging mice.One of its mechanisms may be increasing the activity of SOD and CAT, hence decreasing the damage of the oxidation products to the body.
Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations
Ling Chen
Mathematics , 2010,
Abstract: We construct a class of new Lie algebras by generalizing the one-variable Lie algebras generated by the quadratic conformal algebras (or corresponding Hamiltonian operators) associated to Poisson algebras and a quasi-derivation found by Xu. These algebras can be viewed as certain twists of Xu's generalized Hamiltonian Lie algebras. The simplicity of these algebras is completely determined. Moreover, we construct a family of multiplicity-free representations of these Lie algebras and prove their irreducibility.
Multiplicity-Free Representations of Divergence-Free Lie Algebras
Ling Chen
Mathematics , 2010,
Abstract: Divergence-free Lie algebras (also known as the special Lie algebras of Cartan type) are Lie algebras of volume-preserving transformation groups. They are simple in generic case. Dokovic and Zhao found a certain graded generalization of them. In this paper, we classify all the irreducible and indecomposable multiplicity-free modules of the simple generalized divergence-free Lie algebras.
An $S_3$-symmetry of the Jacobi Identity for Intertwining Operator Algebras
Ling Chen
Mathematics , 2015,
Abstract: We prove an $S_{3}$-symmetry of the Jacobi identity for intertwining operator algebras. Since this Jacobi identity involves the braiding and fusing isomorphisms satisfying the genus-zero Moore-Seiberg equations, our proof uses not only the basic properties of intertwining operators, but also the properties of braiding and fusing isomorphisms and the genus-zero Moore-Seiberg equations. Our proof depends heavily on the theory of multivalued analytic functions of several variables, especially the theory of analytic extensions.
On Axiomatic Approaches to Intertwining Operator Algebras
Ling Chen
Mathematics , 2015, DOI: 10.1142/S0219199715500510
Abstract: We study intertwining operator algebras introduced and constructed by Huang. In the case that the intertwining operator algebras involve intertwining operators among irreducible modules for their vertex operator subalgebras, a number of results on intertwining operator algebras were given in [H9] but some of the proofs were postponed to an unpublished monograph. In this paper, we give the proofs of these results in [H9] and we formulate and prove results for general intertwining operator algebras without assuming that the modules involved are irreducible. In particular, we construct fusing and braiding isomorphisms for general intertwining operator algebras and prove that they satisfy the genus-zero Moore-Seiberg equations. We show that the Jacobi identity for intertwining operator algebras is equivalent to generalized rationality, commutativity and associativity properties of intertwining operator algebras. We introduce the locality for intertwining operator algebras and show that the Jacobi identity is equivalent to the locality, assuming that other axioms hold. Moreover, we establish that any two of the three properties, associativity, commutativity and skew-symmetry, imply the other (except that when deriving skew-symmetry from associativity and commutativity, more conditions are needed). Finally, we show that three definitions of intertwining operator algebras are equivalent.
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