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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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    A Dual Yamabe Flow and Related Integral Flows

    Jingang XIONG
    319-348页
    查看更多>>摘要：The author studies a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds.In the Hardy-Littlewood-Sobolev(HLS for short)subcritical regime,he presents a precise blow-up profile exhibited by the flows.In the HLS critical regime,by introducing a dual Q curvature he demonstrates the concentration-compactness phenomenon.If,in addition,the integral kernel matches with the Green's function of a conformally invariant elliptic operator,this critical flow can be considered as a dual Yamabe flow.Convergence is then established on the unit spheres,which is also valid on certain locally conformally flat manifolds.
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    Shock Formation for 2D Isentropic Euler Equations with Self-similar Variables

    Wenze SU
    349-412页
    查看更多>>摘要：The author studies the 2D isentropic Euler equations with the ideal gas law.He exhibits a set of smooth initial data that give rise to shock formation at a single point near the planar symmetry.These solutions to the 2D isentropic Euler equations are associated with non-zero vorticity at the shock and have uniform-in-time 1/3-Hölder bound.Moreover,these point shocks are of self-similar type and share the same profile,which is a solution to the 2D self-similar Burgers equation.The proof of the solutions,following the 3D construction of Buckmaster,Shkoller and Vicol(in 2023),is based on the stable 2D self-similar Burgers profile and the modulation method.
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    Approximations to Isentropic Planar Magneto-Hydrodynamics Equations by Relaxed Euler-Type Systems

    Yachun LIZhaoyang SHANGChenmu WANGLiang ZHAO...
    413-440页
    查看更多>>摘要：In this paper,the authors consider an approximation to the isentropic pla-nar Magneto-hydrodynamics(MHD for short)equations by a kind of relaxed Euler-type system.The approximation is based on the generalization of the Maxwell law for non-Newtonian fluids together with the Maxwell correction for the Ampère law,hence the approximate system becomes a first-order quasilinear symmetrizable hyperbolic systems with partial dissipation.They establish the global-in-time smooth solutions to the approx-imate Euler-type equations in a small neighbourhood of constant equilibrium states and obtain the global-in-time convergence towards the isentropic planar MHD equations.In addition,they also establish the global-in-time error estimates of the limit based on stream function techniques and energy estimates for error variables.
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    Markovian Quadratic BSDEs with an Unbounded Sub-quadratic Growth

    Jingnan JUShanjian TANG
    441-462页
    查看更多>>摘要：This paper is devoted to the solvability of Markovian quadratic backward s-tochastic differential equations(BSDEs for short)with bounded terminal conditions.The generator is allowed to have an unbounded sub-quadratic growth in the second unknown variable z.The existence and uniqueness results are given to these BSDEs.As an ap-plication,an existence result is given to a system of coupled forward-backward stochastic differential equations with measurable coefficients.
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    Equivariant Tautological Integrals on Flag Varieties

    Xiaobo ZHUANG
    463-486页
    查看更多>>摘要：The author apples the Atiyah-Bott-Berline-Vergne formula to the equivariant tautological integrals over flag varieties of types A,B,C,D,and recovers the formulas expressing the integrals as iterated residues at infinity,which were first obtained by Zie-lenkiewicz using symplectic reduction.
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    The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature

    Chengyang YIYu ZHENG
    487-496页
    查看更多>>摘要：The authors prove a sharp logarithmic Sobolev inequality which holds for com-pact submanifolds without boundary in Riemannian manifolds with nonnegative sectional curvature of arbitrary dimension and codimension.Like the Michael-Simon Sobolev in-equality,this inequality includes a term involving the mean curvature.This extends a recent result of Brendle with Euclidean setting.
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