上海交通大学数学科学学院

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Li Shengxin,Xie Feng,Global Solvability of 2D MHD Boundary Layer Equations in Analytic Function Spaces,Jour. Diff. Equ.,20 (2021), no. 7-8, 2725–2750.
Ding Shijin, Lin Zhilin,Xie Feng,Verification of Prandtl boundary layer ansatz for steady electrically conducting fluids with a moving physical boundary,SIAM Jour. Math. Anal.,53 (2021), no. 5, 4997–5059.
Zhouping Xin; Shengguo Zhu,Global well-posedness of regular solutions to the three-dimensional compressible Navier-Stokes Equations with degenerate viscosities and vacuum,Advances in Mathematics,393 (2021), Paper No. 108072.
Geng Chen; Gui-Qiang G.Chen; Shengguo Zhu,Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations., SIAM J. Math. Anal.,53 (2021), no. 6, 6280–6325.
Lijun Wei, Qingjing Zhang, Xiang Zhang,On limit cycles near two centres and a double homoclinic loop in Liénard differential system,Journal of Differential Equations,300(2021),226-251.
Jaume Llibre,Xiang Zhang,THE MARKUS–YAMABE CONJECTURE FOR CONTINUOUS AND DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS,Proceedings of the American Mathematical Society,Volume 149, Number 12, December 2021, Pages 5267–5274.
Xiao, Dongmei; Tang, Yilei,Global dynamics of hybrid van der Pol-Rayleigh oscillators,Physica D. Nonlinear Phenomena,428 (2021), Paper No. 133021, 16 pp.
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao,A mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor,Journal für die Reine und Angewandte Mathematik (Crelle's Journal),2021, DOI: 10.1515/crelle-2021-0085.
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao,Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck $\alpha$-harmonic maps,Advances in Mathematics,2021, https://doi.org/10.1016/j.aim.2021.108105.
Ai, Wanjun; Zhu, Miaomiao,The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds,Science China Mathematics,2021, https://doi.org/10.1007/s11425-020-1895-7.
Liu, Lei; Song, Chong; Zhu, Miaomiao,Harmonic maps with free boundary from degenerating bordered Riemann surfaces,The Journal of Geometric Analysis,2021, DOI: 10.1007/s12220-021-00834-7.
Hermano Frid, Yachun Li, Daniel Marroquin, Joao F. C. Nariyoshi, and Zirong Zeng,The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations,Commun. Math. Anal. Appl. ,published online.
Shuang Liu, Yuan Lou, Rui Peng, Maolin Zhou,Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator I: large advection,SIAM J. Math Anal.,Vol. 53, No. 5, 5243-5277, 2021.
Yuan Lou, Youshan Tao,The role of local kinetics in a three-component chemotaxis model for arepecia areata,J. Differential Equations,Vol. 305, 401-427, 2021.
Hongyan Jiang, King-Yeung Lam, Yuan Lou,Three-patch models for the evolution of dispersal in advective environments: varying drift and network topology,Bull. Math. Biol. ,Vol. 83, No. 10, Paper No. 109, 46 pp. 2021.
Yuan Lou, Rachidi Salako,Control Straegies for a Multi-strain Epidemic Model,Bull. Math. Biol. ,Vol. 84, No. 1, paper No. 10. 2022.
Shuang Liu, Yuan Lou, Rui Peng, Maolin Zhou,Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications ,J. Functional Analysis,Vol. 282, No. 4, paper no. 109338. 2022.
Shuang Liu, Yuan Lou, Pengfei Song,A new monotonicity for principal eigenvalues with applications to time-periodic patch models,SIAM J. Appl. Math. ,accepted on Dec 2021.
Ran Zhuo, Congming Li,Classification of anti-symmetric solutions to nonlinear fractional Laplace equations,Calc. Var.,published online:10 December2021.
Yun Wang and Chunjing Xie,Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe,Archive for Rational Mechanics and Analysis,accepted.
Hitoshi Ishii, Kaizhi Wang, Lin Wang, Jun Yan,Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown,Communications in Partial Differential Equations,2021.
Kaizhi Wang, Lin Wang, Jun Yan,Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions,Journal of Differential Equations.
Piermarco Cannarsa, Wei Cheng, Cristian Mendico, Kaizhi Wang,Weak KAM aspects of Hamilton-Jacobi equations with state constraints and applications to long-time behavior of constrained first-order mean field games,Journal of Dynamics and Differential Equations,2021.
Kaizhi Wang, Lin Wang, Jun Yan,Aubry-Mather theory for contact Hamiltonian systems II,Discrete and Continuous Dynamical Systems,2021.
Kaizhi Wang, Jun Yan, Kai Zhao,Finite-time convergence of solutions of Hamilton-Jacobi equations,Proceedings of the American Mathematical Society,2021.
Geng Chen; Gui-Qiang G.Chen; Shengguo Zhu,Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow with far field vacuum,Ann. Inst. H. Poincare Anal. Non Lineaire,accepted, to be published in January 2022.
Gui-Qiang Chen and Siran Li,Weak continuity of the Cartan structural system and compensated compactness on semi-Riemannian manifolds with lower regularity,Archives for Rational Mechanics and Analysis,241,no. 2,579--641.
Gui-Qiang Chen, Siran Li, and Marshall Slemrod,On Asymptotic Rigidity and Continuity Problems in Nonlinear Elasticity on Manifolds and Hypersurfaces,Journal de Mathématiques Pures et Appliquées,accepted.
Siran Li,A new proof of the Gaffney's inequality for differential forms on manifolds-with-boundary: the variational approach a la Kozono--Yanagisawa,Acta Mathematica Scientia, English Series,accepted.
Wang, Fang; Zhou, Huihuang,Comparison theorems for GJMS operators,Sci. China Math.,64 (2021), no. 11, 2479-2494.
Chen, Xuezhang; Lai, Mijia; Wang, Fang,The Obata equation with Robin boundary condition,Rev. Mat. Iberoam.,37 (2021), no. 2, 643–670.
Wang, Fang,On the positivity of scattering operators for Poincaré Einstein manifolds,J. Math. Study,54 (2021), no. 2, 186–199.
Chenjie Fan, Yiming Su, Deng Zhang, A note on log-log blow up solutions for stochastic nonlinear Schroedinger equations , Stoch PDE: Anal Comp., online.
Li Bo; Zhang Zhengfang; Zhou Shenggao, The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson-Boltzmann Theory for Molecular Solvation, JOURNAL OF NONLINEAR SCIENCE, 31, 6, 1-50.
Liu Chun; Wang Cheng;Wise Steven M.;Yue Xingye;Zhou Shenggao, A POSITIVITY-PRESERVING, ENERGY STABLE AND CONVERGENT NUMERICAL SCHEME FOR THE POISSON-NERNST-PLANCK SYSTEM, MATHEMATICS OF COMPUTATION, 90, 331, 2071-2106.
Zhou Shenggao ;Zhang Yanan ;Cheng Li-Tien ;Li Bo, Prediction of multiple dry–wet transition pathways with a mesoscale variational approach, Journal of Chemical Physics, 155, 12, 124110.
Qian,Yiran;Wang,Cheng;Zhou,Shenggao, A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions, JOURNAL OF COMPUTATIONAL PHYSICS, 426, 109908, 1-17.
D.S. Xu and X.F.Yang, The asymptotic profile of solutions to damped Euler equations, Z Angew Math Mech., 101:e202000190.
J. Liao and X.F. Yang, Stability of Global Maxwellian for Fully Nonlinear Fokker-Planck Equations, J. Stat. Phys., 185:23.
Zhao, Qianqian; Wang, Cheng; Yu, Jiang, Limit cycles in discontinuous planar piecewise linear systems separated by a nonregular line of center-center type, Internat. J. Bifur. Chaos Appl. Sci. Engrg, 31 (2021), no. 9, Paper No. 2150136, 17 pp.
Xiao, Dongmei, On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay, J. Differential Equations, 291 (2021), 195–219.
Xiao, Dongmei; Tang, Yilei, Global dynamics of a quintic Liénard system with Z2-symmetry I: saddle case, Nonlinearity, 34 (2021), no. 6, 4332–4372.
Tang, Yilei, The limit cycles of the Higgins-Selkov systems, J. Nonlinear Sci., 31 (2021), no. 5, Paper No. 85, 25 pp.
Tang, Yilei, A degenerate planar piecewise linear differential system with three zones, J. Differential Equations, 297 (2021), 433–468.
Jost, Jürgen; Zhou, Chunqin; Zhu, Miaomiao, Energy quantization for a singular super-Liouville boundary value problem, Mathematische Annalen, 381 (2021), no. 1-2, 905–969.
Li, Jiayu; Liu, Lei; Zhu, Chaona; Zhu, Miaomiao, Energy identity and necklessness for α-Dirac-harmonic maps into a sphere, Calculus of Variations and Partial Differential Equations, 60 (2021), no. 4, Paper No. 146.
Liu, Lei; Zhu, Miaomiao, Boundary value problems for Dirac-harmonic maps and their heat flows, Vietnam Journal of Mathematics, 49 (2021), no. 2, 577–596.
Chang, Xiang-Ke; Li, Shi-Hao; Tsujimoto, Satoshi; Yu, Guo-Fu, Two-parameter generalizations of Cauchy bi-orthogonal polynomials and integrable lattices, JOURNAL OF NONLINEAR SCIENCE, 31（2021）30.
Shen, Bo-Jian; Li, Shi-Hao; Yu, Guo-Fu, Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials., JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 54（2021）264001.
Hermano Frid, Yachun Li, Daniel Marroquin, Joao F. C. Nariyoshi, and Zirong Zeng, The strong trace property and the Neumann problem for stochastic conservation laws, Stoch PDE: Anal Comp, Stoch PDE: Anal Comp, published online.
Yachun Li, Yue-Jun Peng and Liang Zhao, Convergence rates in zero-relaxation limits for Euler-Maxwell and Euler-Poisson systems, J. Math. Pures Appl., 154(2021), 185-211.
Yue Cao and Yachun Li, On blow-up of regular solutions to the isentropic Euler and Euler-Boltzmann equations with vacuum, Chin. Ann. Math. Ser. B., 42(4)(2021), 495-510.
Yue Cao, Yachun Li, and Shengguo Zhu, Local classical solution to the full compressible Navier-Stokes system with temperature-dependent heat conductivity, Math Meth Appl Sci., accepted.
Yachun Li, Yue-Jun Peng and Liang Zhao, Convergence rate from hyperbolic systems of balance laws to parabolic systems, Appl. Anal., 100 (5) (2021), 1079-1095.
Hao Li and Yachun Li, Local well-posedness of compressible Radiation Hydrodynamic equations with density-dependent viscosities and vacuum, Math Meth Appl Sci., 44(6) (2021), 4715-4744.
Yachun Li, Tariq Mahmood, and Zhaoyang Shang, Global Strong Solutions to the One-dimensional Full Compressible Liquid Crystal Equations with Temperature- dependent Heat Conductivity, J. Math. Anal. Appl., 494(2) (2021), 124596, 38pp.
Hailiang Li, Houzhi Tang, Haitao Wang, Pointwise estimates of the solution to one dimensional compressible Naiver-Stokes equations in half space, Discrete Contin. Dyn. Syst., accepted.
Liu Cheng-Jie, Xie Feng, Yang Tong, Uniform regularity for the 3D MHD equations with transverse magnetic field, Communications on Pure and Applied Analysis, 20、7-8、2725-2750.
Fan Long, Liu Cheng-Jie, Ruan Lizhi, Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow, Electronic Research Archive, 29、6、4009-4050.
Tao Luo; Zheng Ma; Zhi-Qin John Xu; Yaoyu Zhang, Theory of the Frequency Principle for General Deep Neural Networks, CSIAM Transactions on Applied Mathematics, 2-3, 484-507.
Yaoyu Zhang, Tao Luo, Zheng Ma, Zhi-Qin John Xu, A Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks, Chinese Physics Letters, 38-3, 038701.
Luo Tao;Xu Zhi-Qin John;Ma Zheng;Zhang Yaoyu, Phase diagram for two-layer ReLU neural networks at infinite-width limit, Journal of Machine Learning Research, 22-1, 1-47.
Daozhou Gao, Yuan Lou, Impact of state-dependent dispersal on disease prevalence, J. Nonlinear Science, Vol. 31, No. 5, Paper No. 73, 41pp. 2021.
Congming Li, Leyun Wu, Pointwise regularity for fractional equations, Journal of Differential Equations, "Volume302 Page1-36".
Zhou Changliang; Zhou Chunqin, Singular Moser-Trudinger Inequality Involving L^n Norm in the Entire Euclidean Space, Commun. Math. Stati., "Volume9 Issue4 Page467-501".
Wang lidan, Wang Lihe, Zhou Chunqin, Classification of positive solutions for fully nonlinear elliptic equations in unbounded cylinders, Commun. Pure Appl. Anal., "Volume20 Issue3 Page1241-1261".
Myoungjean Bae, Ben Duan, Jingjing Xiao, and Chunjing Xie, Structural stability of supersonic solutions to the Euler-Poisson system, Archive for Rational Mechanics and Analysis, 239 (2021), no. 2, 679–731., Archive for Rational Mechanics and Analysis, 239 (2021), no. 2, 679–731.
Shangkun Weng, Zhouping Xin, and Chunjing Xie, Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle, SIAM Journal on Mathematical Analysis, 53 (2021), no. 1, 279–308.
Zhengguang GUO, Yun WANG, and Chunjing XIE, Global strong solutions to the inhomogeneous incompressible Navier-Stokes system in the exterior of a cylinder, SIAM Journal on Mathematical Analysis, accepted.
S. Kalmykov, B. Nagy and V. Totik, Bernstein- and Markov-type inequalities, Surveys in Approximation Theory, 2021, 1-17.
S. Kalmykov, L.V. Kovalev, Continuity of logarithmic capacity, Journal of mathematical analysis and applications, published online on August 24,2021.
S. Kalmykov, B. Nagy, Positive polynomials and boundary interpolation with finite Blaschke products, Computational Methods and Function Theory, published online on December 14,2021.
S. Kalmykov, D. Karp, A. Kuznetsov, A new identity for the sum of products of generalized basic hypergeometric functions, The Ramanujan Journal, accepted.
Shi Jin and Lei Li, Random Batch Methods for classical and quantum interacting particle systems and statistical sampling, Active Particles, accepted.
Shi Jin, E. Zuazua and Yuhua Zhu, The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term, Num. Math, accepted.
Shi Jin and Lei Li, On the mean field limit of Random Batch Method for interacting particle systems, Science China Mathematics, accepted.
F. Golse, Shi Jin and T. Paul, The Random Batch Method for N-body quantum dynamics, J. Comp. Math, accepted.
P. Degond, Shi Jin and Yuhua Zhu, An Uncertainty Quantification Approach to the Study of Gene Expression Robustness, Methods Appl. Anal., accepted.
Sueng-Yeal Ha, Shi Jin, Doheon Kim and Dongnam Ko, Uniform error estimates for the Random Batch Method to the first-order consensus models with anti-symmetric interacting kernels,Studies Appl. Math.,146,983-1022, 2021.
Seung-Yeal Ha, Shi Jin, Doheon Kim and Dongnam Ko, Convergence toward equilibrium of the first-order consensus model with random batch interactions, J. Diff. Eqn., 302, 585–616, 2021.
I. Gamba, Shi Jin, and Liu Liu, Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales, Int'l J. Uncertainty Quantification, 11, 57–75, 2021.
Shi Jin and Ruiwen Shu, Collective dynamics of opposing groups with stochastic communication, Vietnamese J. Math., 49, 619–636, 2021.
Shi Jin, Lei Li, Zhenli Xu, and Yue Zhao, A random batch Ewald method for particle systems with Coulomb interactions, SIAM J. Sci. Comp., 43, B937–B960, 2021.
Dongnam Ko, Seung-Yeal Ha and Shi Jin, Uniform-in-time Error Estimate of the Random Batch Method for the Cucker-Smale Model, Math. Models Methods Appl. Sci., 31, 1099-1135, 2021.
Esther Daus, Shi Jin and Liu Liu, On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation, ESAIM Math. Model. Num. Anal., 55, 1323-1345, 2021.
F. Golse, Shi Jin and T. Paul, On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime, Foundation Comp. Math., 21, 613-647, 2021.
Zhiyan Ding, Seung-Yeal Ha and Shi Jin, A local sensitivity analysis in Landau Damping for the kinetic Kuramoto equation with random inputs, Quarterly Appl. Math., 79, 229-264,2021.
Shi Jin, Lei Li and Jian-Guo Liu, Convergence of Random Batch Method for interacting particles with disparate species and weights, SIAM J. Numer. Anal. , 59, 746–768, 2021.
J. Carrillo, Shi Jin, Lei Li and Yuhua Zhu, A consensus-based global optimization method for high dimensional machine learning problems, ESAIM: Control, Optimisation and Calculus of Variations, 27, suppl., Paper No. S5, 2021.
Seung-Yeal Ha, Shi Jin and Doheon Kim, Convergence and error estimates for time-discrete consensus-based optimization algorithms, Numer. Math., 147, 255–282, 2021.
J. G. Liu, M. Tang, L. Wang and Z. N. Zhou, Towards understanding the boundary propagation speeds in tumor growth models, SIAM Journal of Applied Mathematics, Vol. 81, I. 3, 2021.
M. Tang, L. Wang and X. J. Zhang, Accurate front capturing asymptotic preserving method for nonlinear grey radiative transport equation, SIAM Journal of Scientific Computing, Vol. 43, I. 3, 2021.
M. Tang and X. J. Zhang, Semi-implicit front capturing schemes for the degenerate nonlinear radiative diffusion equation, Journal of Computational Physics, Vol. 436, 110290, 1 July 2021.
J. Y. Fu, B. Perthame and M. Tang, Fokker-Plank system for movement of micro-organism population in confined environment, Journal of Statistical Physics, Vol. 184, No. 1, 2021.
M. Tang , Modeling、analysis and computational methods in population level chemotaxis, Journal on Numerical Methods and Computer Applications, 42(2): 91-103, 2021.
X. R. Xue and M. Tang, Individual based models exhibiting Levy-flight type movement induced by intracellular noise, Journal of Mathematical Biology, Vol. 83, No. 27, August, 2021.
C. Emako, F. Kanbar, C. Klingenberg and M. Tang, A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving, Kinetic and Related Problems, 14(5): 847-866, October 2021.
K. Hellmuth, C. Klingenberg, Q. Li and M. Tang, Multiscale convergence of the inverse problem for chemotaxis in the Bayesian setting, Special Issue on Inverse Problems with Partial Data, Computation, 9(11), 119, 2021.
M. Tang, Lina Chang and Y. H. Wang, Tailored finite point method for anisotropic diffusion equations on distorted meshes, Journal of Scientific Computing, accepted.