World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
5048
World Ranking
2098
National Ranking
885

Overview

Qi S. Zhang is affiliated with the University of California, Riverside in the United States. Their research spans two main fields: Mathematics and Engineering, with notable contributions to subfields including Applied Mathematics, Mathematical Physics, Computational Mechanics, Electrical and Electronic Engineering, and Geometry and Topology.

The scientist's work covers a range of topics such as:

  • Navier-Stokes equation solutions
  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Physics Problems
  • Numerical methods in inverse problems
  • Multilevel Inverters and Converters

Qi S. Zhang has published in several recognized venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Fuel
  • IEEE Transactions on Transportation Electrification
  • IEEE Journal of Emerging and Selected Topics in Power Electronics

Their recent papers demonstrate a range of research interests, with titles and publication years as follows:

  • "Time analyticity for the heat equation and Navier-Stokes equations," 2020, Journal of Functional Analysis
  • "Theoretical study of the structure and properties of Ni/V porphyrins under microwave electric field: A DFT study," 2020, Fuel
  • "Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations," 2020, Journal of Functional Analysis
  • "An Enhanced Virtual Vector-Based Model Predictive Control for PMSM Drives to Reduce Common-Mode Voltage Considering Dead Time Effect," 2023, IEEE Journal of Emerging and Selected Topics in Power Electronics
  • "Direct Torque Control of PMSM Drives for Common-Mode Voltage Reduction and Steady-State Performance Improvement," 2024, IEEE Transactions on Transportation Electrification

They have collaborated frequently with other researchers, including:

  • Hongjie Dong
  • Weitao Deng
  • Chulan Zeng
  • Shanhu Li
  • Bryan Carrillo

Best Publications

  • A blow-up result for a nonlinear wave equation with damping: The critical case

    Qi S. Zhang

  • Finite time blow up for critical wave equations in high dimensions

    Borislav T. Yordanov;Qi S. Zhang

  • Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds

    Philippe Souplet;Qi S. Zhang

  • BLOW-UP RESULTS FOR NONLINEAR PARABOLIC EQUATIONS ON MANIFOLDS

    Qi S. Zhang

  • The Boundary Behavior of Heat Kernels of Dirichlet Laplacians

    Qi S. Zhang

  • Some gradient estimates for the heat equation on domains and for an equation by Perelman

    Qi S. Zhang

  • Global solutions of inhomogeneous Hamilton-Jacobi equations

    Philippe Souplet;Qi S. Zhang

  • On a Degenerate Heat Equation with a Singular Potential

    Jerome A. Goldstein;Qi S. Zhang

  • A Uniform Sobolev Inequality Under Ricci Flow

    Qi S. Zhang

  • A Strong Regularity Result for Parabolic Equations

    Qi S. Zhang

  • The conjugate heat equation and Ancient solutions of the Ricci flow

    Xiaodong Cao;Qi S. Zhang

  • Gaussian bounds for the fundamental solutions of ▽(A▽u) + B▽u − ut = 0

    Qi S. Zhang

  • Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature

    Richard H. Bamler;Qi S. Zhang

  • A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow

    Shilong Kuang;Qi S. Zhang

  • Critical Exponents of Fujita Type for Inhomogeneous Parabolic Equations and Systems

    C Bandle;H.A Levine;Qi S Zhang

  • Linear parabolic equations with strong singular potentials

    Jerome A. Goldstein;Qi S. Zhang

  • Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

    Qi S. Zhang

  • On a parabolic equation with a singular lower order term

    Qi Zhang

  • A Liouville theorem for the axially-symmetric Navier–Stokes equations

    Zhen Lei;Qi S. Zhang

  • Bounds on volume growth of geodesic balls under Ricci flow

    Qi S. Zhang

  • On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds

    Qi Zhang

Frequent Co-Authors

Philippe Souplet
Philippe Souplet Paris 13 University
Gang Tian
Gang Tian Peking University
Hongjie Dong
Hongjie Dong Brown University
Thierry Coulhon
Thierry Coulhon PSL University
Howard A. Levine
Howard A. Levine Iowa State University
Fanghua Lin
Fanghua Lin Courant Institute of Mathematical Sciences
Jerome A. Goldstein
Jerome A. Goldstein University of Memphis

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