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A correction of the 2D KdV equation of Djordjevic & Redekopp in exponentially stratified fluid

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Acta Mechanica Sinica 2005年第4期21卷 346-352页

作者： Zhaoting Xu Guojin shen samuel shan-pu shen Institute Of Physical Oceanography and Physical Oceanography Laboratory Ocean University of China Qingdao 266003 China Department of Mathematics and Statistics Science University of Alberta Edmonton Alberta T6G 2G 1 Canada

To further study the nal solitons on the continental fission laws of initial intershelf/slope, we rederive and correct the 2D KdV equation of Djordjevic ＆ Redekopp for exponentially stratified fluid （or ocean） and with twodimensional topography. Through a combination of theoretical study and numerical experiments, we show that solitons in the odd vertical modes can fission. However, because of the corrections, the fission conditions are different from those of Djordjevic ＆ Redekopp. The even modes cannot fission unless the initial internal solitons propagate from shallow sea to deep sea. This conclusion is entirely opposite to that of Djordjevic ＆ Redekopp.

关键词： Internal wave Soliton Fission 2D KdV equation

THEORETICAL AMPLITUDE AND PERIOD OF PRECURSOR SOLITON GENERATION IN TWO-LAYER FLOW

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Acta Mechanica Sinica 1996年第4期12卷 323-337页

作者：徐肇廷田纪伟 samuel shan-pu shen Institute of Physical Oceanography and Physical Oceanography laboratory Ocean University of QingdaoQingdao 266003China Department of Mathematics and Applied Mathematics Institute University of AlbertaEdmondon T6G 2G1AlbertaCanada

An fKdV equation of two-layer how and an averaged fKdV equation (AfKdV equation) with respect to phase are derived to determine the theoretical amplitude and period of the precursor solitons in the present paper. In terms of the AfKdV equation derived by the authors, a new theory on the precursor soliton generation based on Lee et al.'s concept is presented. Concepts of asymptotic mean hydraulic fall and level are introduced in our analysis, and the theoretical amplitude and period both depend on the asymptotic mi-an levels and stratified parameters. From the present theoretical results, it is obtained that when the moving velocity of the topography is at the resonant points, there exist two general relations: (1) amplitude relation (A) over circle = 2F, (2) period relation = -8m(1)m(3)(-1)root 6m(4)m(3)(-1)F, in which (A) over circle and are the amplitude and period of the precursor solitons at the resonant points respectively, m(1), m(3) and m(4) are coefficients of the fKdV equation, and F is asymptotic mean half-hydraulic fall at subcritical cutoff points. The theoretical results of this paper are compared with experiments and numerical calculations of two-layer flow over a semicircular topography and all these results are in good agreement. Due to the canonical character of the coefficients of fKdV equations, this theory also holds for any two-dimensional system, which can be reduced to fKdV equations.

关键词： precursor soliton generating amplitude generating period asymptotic mean hydraulic fall fKdV equation AfKdV equation

UNCONVENTIONAL GURTIN-TYPE VARIATIONAL PRINCIPLES FOR FINITE DEFORMATION ELASTODYNAMICS

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Acta Mechanica Solida Sinica 2003年第1期16卷 1-7页

作者： Xu Zhaoting Xu Hao and samuel shan-pu shen Zhongshan Univ Dept Appl Mech & Engn Guangzhou 510275 Peoples R China

A theory of tailing wavetrain generation for the precursor soliton generation in two-layer flow is presented by using averaged KdV equations (AKdV), which are derived by the authors in terms of Whitham's method of averaging[1,2]. From the AKdV equations, group velocities of the tailing wavetrain generation are obtained by means of generating conditions of the tailing wavetrains, furthermore an analytical solution of the tailing wavetrain generation is found theoretically. A comparison between the theoretical and numerical results is carried out in the present paper, which shows that the theoretical results are in good agreement with the numerical ones, obtained from the fKdV equation in two-layer flow with the depth of unity in the rest.

关键词： tailing wavetrain group velocity soliton two layer flow

THEORETICAL MEAN WAVE RESISTANCE OF PRECURSOR SOLITON GENERATION OF SINGLE-LAYER FLOW

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Chinese Journal of Oceanology and Limnology 1996年第4期14卷 330-336页

作者：徐肇廷史峰岩楼顺里 samuel shan-pu shen Institute of Physical Oceanography and Physical Oceanography Laboratory Qingdao Ocean University Qingdao 266003Institute of Physical Oceanography and Physical Oceanography Laboratory Qingdao Ocean University Qingdao 266003Institute of Physical Oceanography and Physical Oceanography Laboratory Qingdao Ocean University Qingdao 266003Department of Mathematics and Applied Mathematics InstituteUniversity of Alberta Edmonton Alberta (T6G 2G1) Canada

Theoretical mean wave resistance and regional division of the energy of single-layer flow over topogra-phy is studied at the near-resonant region in the weakly nonlinear, long wave limit. The theoretical meanwave resistance is determined in terms of the 1st and 2nd conservation laws of the fKdV equation. It isproved by the asymptotic mean method that the theoretical mean wave resistance depends only on the intensityand moving velocity of the topography. The theoretical results of this paper are in good agreement withnumerical calculations. Comparisons between the theoretical and numerical results showed that the theoryof the present paper holds for any small compact topography.

关键词： were resistance precursor soliton fKdV equation hydraulic fall

Tailing wavetrain generation in precursor soliton generation in single-layer flow

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Progress in Natural Science:Materials International 2000年第5期 32-38页

作者：徐肇廷,徐昊,samuel shan-pu shen Institute of Physical Oceanography and Physical Oceanography Laboratory Ocean University of Qingdao 266003 China Key Laboratory of Marine Science and Numerical Modeling State Oceanic Administration Qingdao 266003 China Department of Mathematical Sciences University of Alberta Edmonton T6G 2G1 Alberta Canada

A theory of tailing wavetrain generation in the precursor soliton generation in single-layer flow is presented in terms of Whitham' s averaged method in the present paper. The group characters of the tailing wavetrain generation are represented by the evolution equations of roots of a cubic algebraic equation resulting from the fKdV equation in the single-layer flow without source term. Based on the evolution equations, the group velocity of the tailing wavetrain is found theoretically, furthermore a theoretical solution of the tailing wavetrain generation is found in terms of the evolution equations. To examine the theoretical results, a numerical calculation of fKdV equation in single-layer flow is carried out in the laboratory frame, at the same time a comparison is also done. The comparison between theoretical and numerical results shows they are in good agreement.

关键词： tailing wavetrain precursor soliton single-layer flow.

Theoretical period and amplitude of locally forced precursor soliton generation in single layer flow

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Progress in Natural Science:Materials International 1997年第5期 63-72页

作者：徐肇廷,史峰岩,samuel shan-pu shen Institute of Physical Oceanography and Laboratory of Physical Oceanography Ocean University of Qingdao Qingdao 266003 China Institute of Physical Oceanography and Laboratory of Physical Oceanography Ocean University of Qingdao Qingdao 266003 China Department of Mathematics and Institute of Applied Mathematics University of Alberta Edmondon T6G 2G1 Canada

Period and amplitude of precursor solitons over a localized topography are studied in a rectangular channel at near-resonance. A relation between asymptotic mean level and hydraulic fall is determined based on an averaged fKdV equation in phase frame, where the asymptotic mean levels in upstream and depressed water region are determined theoretically by the solution of the hydraulic falls. The period and amplitude of the precursor solitons are found by using the asymptotic mean levels and the mass and energy conservation theorems. The analytic results show that the period and amplitude of the precursor solitons theoretically depend on the hydraulic falls and the velocity of the topography only. The resutls from the joint theoretical, experimental and numerical studies are in good agreement. At the resonant points, two general relations on the generating amplitude A0 and period τ0 of the precursor solitons are obtained; ( i )

关键词： precursor soliton fKdV equation AfKdV equation generating amplitude generating period.

Acromicric dysplasia caused by a mutation of fibrillin 1 in a family:A case report

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World Journal of Clinical Cases 2023年第9期11卷 2036-2042页

作者： Ren shen Jian-Hua Feng shan-pu Yang Department of Pediatrics The People's Hospital of YuhuanTaizhou 317600Zhejiang ProvinceChina Department of Hematology The First Affiliated Hospital of Wenzhou Medical UniversityWenzhou 325000Zhejiang ProvinceChina

BACKGROUND Acromicric dysplasia(AD)is a rare skeletal *** incidence isT(***1728Val)in three people from a Chinese family.A 4-year-old member of the family first visited the hospital because of slow growth and short stature for 2 years,but no abnormalities were found after a series of laboratory tests,echocardiography,pituitary magnetic resonance imaging,and ophthalmological *** human growth hormone(rhGH)was used to treat the patient for>5 *** efficacy of rhGH was apparent in the first year of treatment;the height increased from-3.64 standard deviation score(SDS)to-2.88 SDS,while the efficacy weakened from the second ***,long-term follow-up is required to clarify the efficacy of *** FBN1-related AD has genetic heterogeneity and/or clinical variability,which brings challenges to the evaluation of clinical *** is effective for treatment of AD,but long-term follow-up is needed to clarify the effect.

关键词： Fibrillin 1 Gene Acromicric dysplasia Short stature Recombinant human growth hormone Case report

Melamine sponge derived porous carbon monoliths with NiMn oxides for high performance supercapacitor

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中国化学快报：英文版 2020年第9期31卷 2245-2248页

作者： Qianyuan shan Wangchen Huo Man shen Chuan Jing Yan Peng Huayan pu Yuxin Zhang State Key Laboratory of Mechanical Transmission College of Materials Science and EngineeringChongqing UniversityChongqing 400044China Research Institute of USV Engineering Shanghai UniversityShanghai 200444China

Supercapacitors with good electrochemical performance and flexibility are in great *** this paper,the concept of preparing 3D porous carbon monoliths via direct calcination of melamine sponge is *** preparation method is simple and has good control of the *** carbon composite nickel-manga nese oxides can be obtained by hydrothermal method followed with *** electrochemical performances were tested and porous carbon monoliths with NiMn oxides exhibited a specific capacitance of 870 F/g in 1 mol/L KOH at a charge/discharge current density of 0.5 A/g and a capacity retention of 89.9% after 5000 times charge and discharge.

关键词： NiMn oxides Porous carbon Supercapacito Electrochemical performance Melamine sponge

Physical universals in problem of precursor soliton generation

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Science China Earth Sciences 1997年第3期40卷 306-314页

作者：徐肇廷 samuel shan-pn shen Institute of Physical Oceanography and Physical Oceanography Laboratory Ocean University of QingdaoQingdao 266003 China Department of Mathematics and Applied Mathematics Institute University of AlbertaEdmondon T6G 2G1Canada

Six physical universals and two general relations in the problem of locally forced precursor soliton generation are found theoretically in terms of the AfKdV equation derived by authors. These six universals and two general relations are examined by experiment and numerical calculation of two-layer flow based on the canonical character of the coefficients of the fKdV equations. From comparisons among the theoretical, numerical and experimental results, it is shown that they are in good agreement. There is not any free parameter in this theory, so the theory of the present paper can be used to predict the wave properties of locally forced precursor soliton generation.

关键词： precursor soliton fKdV equation AfKdV equation physical universal