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数学年刊B辑（英文版）
数学年刊B辑（英文版）

李大潜

双月刊

0252-9599

edcam@fudan.edu.cn

021-65642338

200433

上海市邯郸路220号复旦大学

数学年刊B辑（英文版）/Journal Chinese Annals of Mathematics,Series BCSCDCSTPCD北大核心SCI
查看更多>>本刊作为国家教委委托复旦大学主办的、著名数学家苏步青院士任名誉主编的、李大潜院士任主编的（1999年开始）、一份面向国内外的综合性的数学刊物，主要用英文刊登纯粹数学和应用数学两方面具有创造性的学术论文，其中包括几何、拓扑、代数、偏微分方程、常微分方程、控制论、泛函分析、函数论、计算数学、概率统计、运筹学、数理逻辑等各数学分支学科的学术论文。面向高等学校教师、研究生、高年级学生和从事数学、应用数学专业的科研人员及其他的数学工作者。在《数学年刊》B辑上发表的论文被美国的《科学引文索引》的扩充版（SCIE）、《计算数学引文索引》（CMCI）、美国和西德出版的《数学评论杂志》、美国出版的《当代数学出版物》（CMP）和《中国科学文摘》、《中国数学文摘》、《CUJA》、《中国学术期刊文摘》、《中国学术期刊文摘（光盘版）》、《中国科学引文索引》、《中国科技论文统计源》、《万方数据——数字化期刊群》等12种期刊和数据库摘录和评论。
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    Existence of Global Solutions to the Nonlocal mKdV Equation on the Line

    Anran LIUEngui FAN
    497-528页
    查看更多>>摘要：In this paper,the authors address the existence of global solutions to the Cauchy problem for the integrable nonlocal modified Korteweg-de Vries(nonlocal mKdV for short)equation under the initial data u0 ∈ H3(R)∩H1,1(R)with the L1(R)small-norm assumption.A Lipschitz L2-bijection map between potential and reflection coefficient is established by using inverse scattering method based on a Riemann-Hilbert problem associated with the Cauchy problem.The map from initial potential to reflection coefficient is obtained in direct scattering transform.The inverse scattering transform goes back to the map from scattering coefficient to potential by applying the reconstruction formula and Cauchy integral operator.The bijective relation naturally yields the existence of global solutions in a Sobolev space H3(R)∩ H1,1(R) to the Cauchy problem.
      原文链接:
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    Remarks on the Global Existence for Incompressible Navier-Stokes Equations

    Sheng WANGZexian ZHANGYi ZHOU
    529-536页
    查看更多>>摘要：In this article,the authors use the special structure of helicity for the three-dimensional incompressible Navier-Stokes equations to construct a family of finite energy smooth solutions to the Navier-Stokes equations which critical norms can be arbitrarily large.
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    Centered Waves for the Two-dimensional Pseudo-Steady van der Waals Gas Satisfied Maxwell's Law Around a Sharp Corner

    Shuangrong LIWancheng SHENG
    537-554页
    查看更多>>摘要：In this paper,the authors study the centered waves for the two-dimensional(2D for short)pseudo-steady supersonic flow with van der Waals gas satisfied Maxwell's law around a sharp corner.In view of the initial value of the specific volume and the properties of van der Waals gas,the centered waves at the sharp corner are constructed by classification.It is shown that the supersonic incoming flow turns the sharp corner by a centered simple wave or a centered simple wave with right-contact discontinuity or a composite wave(jump-fan,fan-jump or fan-jump-fan),or a combination of waves and constant state.Moreover,the critical angle of the sharp corner corresponding to the appearance of the vacuum phenomenon is obtained.
      原文链接:
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    Global Stability of a Viral Infection Model with Defectively Infected Cells and Latent Age

    Jianquan LIYuming CHENPeijun ZHANGDian ZHANG...
    555-572页
    查看更多>>摘要：The authors propose and analyze a viral infection model with defectively infect-ed cells and age of the latently infected cells.The existence of steady states is determined by the basic reproduction number of virus.With the Lyapunov's direct method,they establish a threshold dynamics of the model with the basic reproduction number of virus as the threshold parameter.To achieve it,a novel procedure is proposed.Its novelties are two-folded.On one hand,the coefficients involved in the specific forms of the used Lyapunov functionals for the two feasible steady states are determined by the same set of inequalities.On the other hand,for the infection steady state,a new approach is proposed to check whether the derivative of the Lyapunov functional candidate along solutions is negative(semi-)definite or not.This procedure not only simplifies the analysis but also exhibits the relationship between the two Lyapunov functionals for the two feasible steady states.Moreover,the procedure is expected to be applicable for other similar models.
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    Global Tangentially Analytical Solutions of the 3D Axially Symmetric Prandtl Equations

    Xinghong PANChaojiang XU
    573-596页
    查看更多>>摘要：In this paper,the authors will prove the global existence of solutions to the three dimensional axially symmetric Prandtl boundary layer equations with small initial data,which lies in H1 Sobolev space with respect to the normal variable and is analytical with respect to the tangential variables.The main novelty of this paper relies on careful constructions of a tangentially weighted analytic energy functional and a specially designed good unknown for the reformulated system.The result extends that of Paicu-Zhang in[Paicu,M.and Zhang,P.,Global existence and the decay of solutions to the Prandtl system with small analytic data,Arch.Ration.Mech.Anal.,241(1),2021,403-446].from the two dimensional case to the three dimensional axially symmetric case,but the method used here is a direct energy estimates rather than Fourier analysis techniques applied there.
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    Essentially Commuting Dual Truncated Toeplitz Operators

    Chongchao WANGXianfeng ZHAODechao ZHENG
    597-636页
    查看更多>>摘要：In this paper,the authors completely characterize when two dual truncated Toeplitz operators ar e essentially commuting and when the semicommutator of two dual truncated Toeplitz operators is compact.Their main idea is to study dual truncated Toeplitz operators via Hankel operators,Toeplitz operators and function algebras.
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    Limits of Riemann Solutions for Isentropic MHD in a Variable Cross-Section Duct as Magnetic Field Vanishes

    Wancheng SHENGTao XIAO
    637-660页
    查看更多>>摘要：The stability for magnetic field to the solution of the Riemann problem for the polytropic fluid in a variable cross-section duct is discussed.By the vanishing magnetic field method,the stable solutions are determined by comparing the limit solutions with the solutions of the Riemann problem for the polytropic fluid in a duct obtained by the entropy rate admissibility criterion.
      原文链接:
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