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NUMERICAL MODELING OF THE INITIAL STAGE OF THE GENERATION OF UNSTEADY VORTICES FROM SHARP CORNER IN PLANE COMPRESSIBLE FLOW

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Applied math.matics and Mechanics(English Edition) 1994年第8期15卷 697-702页

作者：黄敦杨淳 depart. of math. Peking University Beijing depart. of math. Peking Normal University Beijing

The impingement of a plane shock wave in air on a rectangular or triangularobstacle is simulated numerically with high resolution TVD (total variationdiminishing) scheme in finite volume fomulation with Schwarz transformation in meshgeneration. The mesh lines are quite adaptive to the physical features of the unsieadyflow fietd and concentrate locally near the corners. At the initial stage the flow field iscomplex. and the scale of viscous diffusion is very small and the viscosity of fluid incomputation may be neglected. The unsteady generation of concerntrated vorticesdownstream of the sharp corner as the result of the nonnuiformity of both temperatureand entropy fields in plane inviscid compressible fluid, induced by bow shock wave, isshown clearly and in accordance with optical measurements, performed by our request.

关键词： shock wave generation of vortices finite volume TVD scheme.mesh generation

CARATHEODORY INEQUALITY FOR ANALYTIC OPERATOR FUNCTION

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Applied math.matics(A Journal of Chinese Universities) 2001年第3期16卷 285-289页

作者： Yang Changsenof math., Henan Normal Univ., Xinxiang 453002. depart. of math. Henan Normal Univ. Xiang

Suppose H is a complex Hilbert space, A H(Δ) denotes the set of all analytic operator functions on Δ, and the set N H(Δ)=｛f(z)｜f(z) is an analytic operator function on the open uint disk Δ, f(z)f(w)=f(w)f(z),f *(z)f(z)=f(z)f *(z),z,w∈Δ｝. The note proves that if f(z)∈N H(Δ),(or A H(Δ))‖f(z)‖≤1,z∈Δ then‖f′(T)‖≤(1-‖T‖ 2) -1 ‖I-f *(T)f(T)‖ 12 ‖I-f(T)f *(T)‖ 12 , where T∈L(H)(orT *T=TT *,respectively),‖T‖<1,Tf=fT.

关键词： Analytic operator function proper contraction resolution of identity.

BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS

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Acta math.matica Scientia 1997年第4期17卷 413-428页

作者：何成 Institute of math. Shantou University Guangdong 515063 China Institute of Applied math. Academia Sinica Beijing 100080 China

We first prove the existence and uniqueness of solution of quasilinear Stokes equations. Then it is shown when the viscosity vanishes, the solution of the quasilinear Stokes equations tends to the solution of the degenerate equations, in which the viscous term is omitted from the quasilinear Stokes equations and the boundary condition is weakened. In the end, we obtain the boundary layer estimation, Our result shows that the thickness of the boundary layer is proportional to epsilon(1/4).

关键词： quasilinear Stokes equations degenerate equations boundary layer

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALETRANSFORMS

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Acta math.matica Scientia 1997年第3期17卷 269-275页

作者：刘培德吐尔德别克 Dept. of math. Wuhan University Wuhan 430071 China Dept. of math. Xinjiang University Ulumuqi 830046 China

Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give sev... 详细信息

关键词： AUMD space Hardy martingale martinale transform geometry of complex Banach space

UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

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Acta math.matica Scientia 1997年第3期17卷 341-352页

作者：王振丁夏畦 Young Scientist Laboratory of math. Phys. Inst of Math. Phys. Academia Sinica Wuhan 430071 China Inst. of math. Shantou Univ. Shantou 515063 China Inst. of Appl. math. Academia Sinica Beijing 100080 China

In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with... 详细信息

关键词： hyperbolic system generalized solution Lebesgue-Stieltjes integral generalized potential

Multilinear singular and fractional integrals on weighted Hardy spaces

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 214-220页

作者： ZHANG Pu LAN Jia-cheng Dept. of math. Mudanjiang Teachers College Mudanjiang 157012 China Dept. of math. Lishui College Lishui 323000 China

In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied.

关键词： multilinear singular integral multilinear fractional integral Lipschitz function L^r-Dini condition weighted Hardy space

Periodic boundary value problem for the first order functional differential equations with impulses

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 27-35页

作者： LIANG Rui-xi SHEN Jian-hua Dept. of math. Hunan Normal Univ. Hunan 410081 China Dept. of math. Huaihua College Hunan 418008 China

This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is pres... 详细信息

关键词： functional differential equation periodic boundary value problem lower and upper solution monotone iterative method

Pointwise characterization for combinations of Szász-Mirakjan operators

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 202-212页

作者： XIE Lin-sen SHI Zhong-rui Dept. of math. Shanghai Univ. Shanghai 200444 China Dept. of math. Lishui Univ. Lishui 323000 China

The purpose of this paper is to characterize the pointwise rate of convergence for the combinations of Szász-Mirakjan operators using Ditzian-Totik modulus of smoothness.

关键词： Szász-Mirakjan operator combination pointwise approximation.

LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

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Acta math.matica Scientia 1996年第2期16卷 129-141页

作者：周广才郑维行 Dept. of math. & Mech. Southeast University Nanjing 210018 China Dept. of math. Nanjing University Nanjing 210008 China

Let G be a Heisenberg group over local field K. In the paper we give some local maximal functions which define the Hardy spaces h(P)(G) equivalently, obtain the atomic decomposition of local Hardy spaces. We also give... 详细信息

关键词： Heisenberg group local field local Hardy space