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D-Index & Metrics

Mathematics

D-Index
46
Citations
5733
World Ranking
1405
National Ranking
75

Overview

Changxing Miao is affiliated with the Institute of Applied Physics and Computational Mathematics in China. Their research primarily focuses on mathematics with significant contributions across several subfields including Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Control and Systems Engineering.

Their main research topics include:

  • Advanced Mathematical Physics Problems
  • Navier-Stokes equation solutions
  • Advanced Harmonic Analysis Research
  • Nonlinear Partial Differential Equations
  • Numerical methods in inverse problems
  • Spectral Theory in Mathematical Physics
  • Advanced Mathematical Modeling in Engineering

Miao has published extensively, with a total of 132 publications in mathematics. They frequently appear in the following publication venues:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Transactions of the American Mathematical Society
  • Bulletin of the London Mathematical Society
  • Science China Mathematics

Notable recent papers include:

  • "Scattering for the non-radial inhomogeneous NLS," 2021, Mathematical Research Letters
  • "A nonlinear Schrödinger equation with Coulomb potential," 2022, Acta Mathematica Scientia
  • "The ^{,}-boundedness of stationary wave operators for the Schrödinger operator with inverse-square potential," 2022, Transactions of the American Mathematical Society
  • "On the weak solutions for the MHD systems with controllable total energy and cross helicity," 2023, Journal de Mathématiques Pures et Appliquées
  • "Square function estimates and local smoothing for Fourier integral operators," 2023, Proceedings of the London Mathematical Society

Miao commonly collaborates with several researchers, including Jiqiang Zheng, Chuanwei Gao, Calvin Khor, B. Zhao, and Weikui Ye. These collaborations have resulted in multiple publications.

Best Publications

  • A New Bernstein’s Inequality and the 2D Dissipative Quasi-Geostrophic Equation

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • Well-posedness of the Cauchy problem for the fractional power dissipative equations

    Changxing Miao;Baoquan Yuan;Bo Zhang;Bo Zhang

  • On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • Global well‐posedness for compressible Navier‐Stokes equations with highly oscillating initial velocity

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • The Beale-Kato-Majda Criterion for the 3D Magneto-Hydrodynamics Equations

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • Global well-posedness for the compressible Navier-Stokes equations with the highly oscillating initial velocity

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • On the global well-posedness of a class of Boussinesq–Navier–Stokes systems

    Changxing Miao;Liutang Xue

  • Global well-posedness for the micropolar fluid system in critical Besov spaces

    Qionglei Chen;Changxing Miao

  • Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

    Changxing Miao;Guixiang Xu;Lifeng Zhao

  • On the global well-posedness for the Boussinesq system with horizontal dissipation

    Changxing Miao;Xiaoxin Zheng

  • The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation

    Quansen Jiu;Changxing Miao;Jiahong Wu;Zhifei Zhang

  • The dynamics of the 3D radial NLS with the combined terms

    Changxing Miao;Guixiang Xu;Lifeng Zhao

  • Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities

    Qionglei Chen;Changxing Miao;Zhifei Zhang

  • Sobolev spaces adapted to the Schrödinger operator with inverse-square potential

    R. Killip;C. Miao;M. Visan;J. Zhang

  • Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

    Changxing Miao;Guixiang Xu;Lifeng Zhao

  • Global well-posedness for a modified critical dissipative quasi-geostrophic equation

    Changxing Miao;Liutang Xue

  • Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

    Changxing Miao;Guixiang Xu;Lifeng Zhao

  • Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions d⩾9

    Changxing Miao;Guixiang Xu;Lifeng Zhao

  • The energy-critical NLS with inverse-square potential

    Rowan Killip;Changxing Miao;Monica Visan;Junyong Zhang

  • The 2D incompressible Boussinesq equations with general critical dissipation

    Quansen Jiu;Changxing Miao;Jiahong Wu;Zhifei Zhang

  • Sobolev spaces adapted to the Schr"odinger operator with inverse-square potential

    R. Killip;C. Miao;M. Visan;J. Zhang

Frequent Co-Authors

Zhifei Zhang
Zhifei Zhang Peking University
Bo Zhang
Bo Zhang Chinese Academy of Sciences
Junfeng Li
Junfeng Li Chinese Academy of Sciences
Jiahong Wu
Jiahong Wu University of Notre Dame
Monica Visan
Monica Visan University of California, Los Angeles
Rowan Killip
Rowan Killip University of California, Los Angeles
Christopher D. Sogge
Christopher D. Sogge Johns Hopkins University

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