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Mathematics

D-Index
33
Citations
5512
World Ranking
3022
National Ranking
149

Overview

Zhaoyang Yin is affiliated with Sun Yat-sen University in China. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with significant contributions to several subfields including Mathematical Physics, Statistical and Nonlinear Physics, Applied Mathematics, Geometry and Topology, and Control and Systems Engineering.

The main topics covered in Yin's work include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Navier-Stokes equation solutions
  • Nonlinear Photonic Systems
  • Algebraic structures and combinatorial models
  • Stability and Controllability of Differential Equations
  • Fluid Dynamics and Turbulent Flows

The scientist has a substantial publication record with a frequent presence in several journals and archives. The key publication venues include:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Journal of Mathematical Fluid Mechanics
  • Monatshefte für Mathematik
  • Applicable Analysis

Among recent papers authored by Yin, notable works are:

  • Ill-posedness for the Cauchy problem of the Camassa-Holm equation in B∞,1 1(ℝ), 2022, Journal of Differential Equations
  • On a two dimensional nonlocal shallow-water model, 2021, Advances in Mathematics
  • The well-posedness for the Camassa-Holm type equations in critical Besov spaces Bp,1 1+1/p with 1 ≤ p < +∞, 2023, Journal of Differential Equations
  • On the Cauchy problem for a modified Camassa-Holm equation, 2020, Monatshefte für Mathematik
  • A New Zero-Order Algorithm to Solve the Maximum Hands-Off Control, 2023, IEEE Transactions on Automatic Control

Yin has collaborated extensively with several researchers. Frequent co-authors include Wei Luo, Zhaonan Luo, Yingying Guo, Weikui Ye, and Wenjie Deng.

Best Publications

  • Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation

    Yue Liu;Zhaoyang Yin;Zhaoyang Yin

  • Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation

    Zhaoyang Yin;Olaf Lechtenfeld;Joachim Escher

  • Global weak solutions and blow-up structure for the Degasperis–Procesi equation

    Joachim Escher;Yue Liu;Zhaoyang Yin;Zhaoyang Yin

  • Global existence and blow-up phenomena for an integrable two-component Camassa–Holm shallow water system

    Chunxia Guan;Zhaoyang Yin

  • Global weak solutions for a new periodic integrable equation with peakon solutions

    Zhaoyang Yin

  • Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation

    Joachim Escher;Yue Liu;Zhaoyang Yin

  • Global solutions to a new integrable equation with peakons

    Zhaoyang Yin

  • ON THE STRUCTURE OF SOLUTIONS TO THE PERIODIC HUNTER-SAXTON EQUATION ∗

    Zhaoyang Yin

  • Global weak solutions for the Novikov equation

    Xinglong Wu;Zhaoyang Yin

  • Well-posedness, blow-up phenomena, and global solutions for the b-equation

    Joachim Escher;Zhaoyang Yin

  • Global weak solutions for a two-component Camassa–Holm shallow water system

    Chunxia Guan;Zhaoyang Yin

  • Well-posedness and global existence for the Novikov equation

    Xinglong Wu;Zhaoyang Yin

  • Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation

    Shuyin Wu;Zhaoyang Yin

  • Remarks on the well-posedness of Camassa–Holm type equations in Besov spaces

    Jinlu Li;Zhaoyang Yin;Zhaoyang Yin

  • Initial boundary value problems for nonlinear dispersive wave equations

    Joachim Escher;Zhaoyang Yin

  • Ill-posedness of the Camassa-Holm and related equations in the critical space

    Zihua Guo;Xingxing Liu;Luc Molinet;Zhaoyang Yin;Zhaoyang Yin

  • A note on the Cauchy problem of the Novikov equation

    Xinglong Wu;Zhaoyang Yin

  • Initial Boundary Value Problems of the Camassa–Holm Equation

    Joachim Escher;Zhaoyang Yin

  • Well-posedness, blowup, and global existence for an integrable shallow water equation

    Unknown

  • Monotone positive solutions of second-order nonlinear differential equations

    Unknown

  • Global weak solutions for a modified two-component Camassa–Holm equation

    Chunxia Guan;Zhaoyang Yin

  • Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces

    Jinlu Li;Wenke Tan;Zhaoyang Yin;Zhaoyang Yin

Frequent Co-Authors

Joachim Escher
Joachim Escher University of Hannover
Yue Liu
Yue Liu The University of Texas at Arlington
Adrian Constantin
Adrian Constantin University of Vienna

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