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数学物理学报（英文版）
数学物理学报（英文版）

丁夏畦 王世全

双月刊

0252-9602

actams@wipm.ac.cn

027-87199206

430071

武昌小洪山（武汉市71010信箱）

数学物理学报（英文版）/Journal Acta Mathematica ScientiaCSCDCSTPCDSCI
查看更多>>本刊是我国数学物理学界委托中国科学院武汉物理与数学研究所主办的，以刊登数学与物理科学的边缘学科中具有创造性的代表学科水平的科研成果为主的综合性学术刊物。读者对象是国内外本学科范围的科技工作者。
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    BIG HANKEL OPERATORS ON HARDY SPACES OF STRONGLY PSEUDOCONVEX DOMAINS

    陈伯勇江良英
    789-809页
    查看更多>>摘要：In this article,we investigate the(big)Hankel operator Hf on the Hardy spaces of bounded strongly pseudoconvex domains Ω in Cn.We observe that Hf is bounded on Hp(Q)(1＜p＜∞)if f belongs to BMO and we obtain some characterizations for Hf on H2(Ω)of other pseudoconvex domains.In these arguments,Amar's Lp-estimations and Berndtsson's L2-estimations for solutions of the(∂)b-equation play a crucial role.In addition,we solve Gleason's problem for Hardy spaces Hp(Ω)(1 ≤ p ≤ ∞)of bounded strongly pseudoconvex domains.
      原文链接:
    • 万方数据
    • 维普

    SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENTS OF FOCK-SOBOLEV SPACES

    陈泳Young Joo LEE
    810-822页
    查看更多>>摘要：We consider dual Toeplitz operators on the orthogonal complements of the Fock-Sobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or zero.Next,for bounded symbols,we construct a symbol map and exhibit a short exact sequence associated with the C*-algebra generated by all dual Toeplitz operators with bounded symbols.
      原文链接:
    • 万方数据
    • 维普

    ON A UNIVERSAL INEQUALITY FOR APPROXIMATE PHASE ISOMETRIES

    戴端旭阙海新孙龙发郑本拓...
    823-838页
    查看更多>>摘要：Let X and Y be two normed spaces.Let U be a non-principal ultrafilter on N.Let g:X→Y be a standard ε-phase isometry for some ε ≥ 0,i.e.,g(0)=0,and for all u,v ∈ X,||||g(u)+g(v)||±||g(u)-g(v)|||-|||u+v||±||u-v||||≤ε.The mapping g is said to be a phase isometry provided that ε=0.In this paper,we show the following universal inequality of g:for each u*∈ w*-exp||u*||Bx*,there exist a phase function σu*:X → {-1,1} and φ ∈ Y*with||φ||=||u*||≡ α satisfying that|<u*,u>-σu*(u)<φ,g(u)>|≤5/2εα,for all u∈X.In particular,let X be a smooth Banach space.Then we show the following:(1)the universal inequality holds for all u*∈ X*;(2)the constant 5/2 can be reduced to 3/2 provided that Y*is strictly convex;(3)the existence of such a g implies the existence of a phase isometryΘ:X → Y such that Θ(u)=limn,u g(nu)/n provided that Y**has the w*-Kadec-Klee property(for example,Y is both reflexive and locally uniformly convex).
      原文链接:
    • 万方数据
    • 维普

    THE BOUNDARY SCHWARZ LEMMA AND THE RIGIDITY THEOREM ON REINHARDT DOMAINS Bnp OF Cn

    王建飞张艳慧
    839-850页
    查看更多>>摘要：By introducing the Carathéodory metric,we establish the Schwarz lemma at the boundary for holomorphic self-mappings on the unit p-ball Bp of Cn.Furthermore,the boundary rigidity theorem for holomorphic self-mappings defined on Bp is obtained.These results cover the boundary Schwarz lemma and rigidity result for holomorphic self-mappings on the unit ball for p=2,and the unit polydisk for p=oo,respectively.
      原文链接:
    • 万方数据

    ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

    谭忠李心亮杨惠
    851-864页
    查看更多>>摘要：In this paper,we establish some regularity conditions on the density and velocity fields to guarantee the energy conservation of the weak solutions for the three-dimensional compressible nematic liquid crystal flow in the periodic domain.
      原文链接:
    • 万方数据
    • 维普

    THE GLOBAL EXISTENCE OF STRONG SOLUTIONS FOR A NON-ISOTHERMAL IDEAL GAS SYSTEM

    韩斌赖宁安Andrei TARFULEA
    865-886页
    查看更多>>摘要：We investigate the global existence of strong solutions to a non-isothermal ide-al gas model derived from an energy variational approach.We first show the global well-posedness in the Sobolev space H2(R3)for solutions near equilibrium through iterated energy-type bounds and a continuity argument.We then prove the global well-posedness in the critical Besov space(B)3/22,1by showing that the linearized operator is a contraction mapping under the right circumstances.
      原文链接:
    • 万方数据
    • 维普

    THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THERMOMECHANICAL CUCKER-SMALE-STOKES EQUATIONS IN THE WHOLE DOMAIN

    邹委员
    887-908页
    查看更多>>摘要：We study the global existence and uniqueness of a strong solution to the kinetic thermomechanical Cucker-Smale(for short,TCS)model coupled with Stokes equations in the whole space.The coupled system consists of the kinetic TCS equation for a particle ensemble and the Stokes equations for a fluid via a drag force.In this paper,we present a complete analysis of the existence of global-in-time strong solutions to the coupled model without any smallness restrictions on the initial data.
      原文链接:
    • 万方数据
    • 维普

    GLOBAL WEAK SOLUTIONS FOR AN ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH p-LAPLACIAN DIFFUSION AND LOGISTIC SOURCE

    王晓闪王忠谦贾哲
    909-924页
    查看更多>>摘要：This paper is concerned with the following attraction-repulsion chemotaxis sys-tem with p-Laplacian diffusion and logistic source:{ut=(▽).(|(▽)u|p-2(▽)u)-x(▽)·(u(▽)v)+ξ(▽)·(u▽w)+f(u),x ∈ Ω,t＞0,vt=△v-βv+αuk1,x ∈ Ω,t＞0,0=△w-δw+γuk2,x ∈ Ω,t＞0,u(x,0)=uo(x),v(x,0)=v0(x),w(x,0)=wo(x),x ∈ Ω.The system here is under a homogenous Neumann boundary condition in a bounded domainΩ C Rn(n ≥ 2),with x,ξ,α,β,γ,δ,k1,k2＞0,p ≥ 2.In addition,the function f is smooth and satisfies that f(s)≤ κ-μst for all s ≥ 0,with κ ∈ R,p＞0,1＞1.It is shown that(ⅰ)if l＞max{2k1,2k1n/2+n+1/p-1},then system possesses a global bounded weak solution and(ⅱ)ifk2＞max{2k1-1,2k1n/2+n+2-p/p-1}with l＞2,then system possesses a global bounded weak solution.
      原文链接:
    • 万方数据
    • 维普

    THE ASYMPTOTIC BEHAVIOR AND OSCILLATION FOR A CLASS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS

    黄先勇邓勋环王其如
    925-946页
    查看更多>>摘要：In this paper,we consider a class of third-order nonlinear delay dynamic equa-tions.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existence of eventually positive solutions having upper bounds and tending to zero.Third,we obtain new oscillation criteria by employing the Pötzsche chain rule.Then,using the generalized Riccati transformation technique and averaging method,we establish the Philos-type oscillation criteria.Surprisingly,the integral value of the Philos-type oscillation criteria,which guarantees that all unbounded solutions oscillate,is greater than θ4(t1,T).The results of Theorem 3.5 and Remark 3.6 are novel.Finally,we offer four examples to illustrate our results.
      原文链接:
    • 万方数据
    • 维普

    THE EXISTENCE AND UNIQUENESS OF TIME-PERIODIC SOLUTIONS TO THE NON-ISOTHERMAL MODEL FOR COMPRESSIBLE NEMATIC LIQUID CRYSTALS IN A PERIODIC DOMAIN

    陈爽郭闪闪许秋菊
    947-972页
    查看更多>>摘要：In this paper,we are concerned with a three-dimensional non-isothermal model for the compressible nematic liquid crystal flows in a periodic domain.Under some smallness and structural assumptions imposed on the time-periodic force,we establish the existence of the time-periodic solutions to the system by using a regularized approximation scheme and the topological degree theory.We also prove a uniqueness result via energy estimates.
      原文链接:
    • 万方数据
    • 维普