Professional Profile
🎓 Early Academic Pursuits
Prof. Chenyin Qian earned a Ph.D. in Mathematics in 2014 and has since dedicated his research to the study of partial differential equations (PDEs), particularly focusing on homogeneous and non-homogeneous Navier-Stokes equations, quasi-geostrophic equations, Boussinesq systems, and magnetohydrodynamics (MHD) equations. His academic foundation provided him with a strong theoretical background, allowing him to explore and contribute significantly to these complex mathematical models.
💼 Professional Endeavors
Currently serving as the Vice Dean at the School of Mathematical Sciences, Zhejiang Normal University, Prof. Qian has played a vital role in fostering research and academic growth within the institution. His contributions extend beyond administrative leadership to active research and mentorship in the field of applied mathematics. With an emphasis on mathematical analysis and computational methods, he continues to drive impactful research in fluid mechanics and differential equations.
🔬 Contributions and Research Focus On Mathematics
Prof. Qian’s research primarily revolves around global well-posedness, weak and strong solutions, and long-term behavior of differential equations. His work has provided breakthroughs in understanding the global existence of attractors for quasi-geostrophic equations, the regularity of weak solutions in three-dimensional Navier-Stokes equations, and the stability properties of Boussinesq systems. Recently, his focus has expanded to the compressible and incompressible micropolar equations, opening new avenues for mathematical modeling in fluid dynamics.
🌍 Impact and Influence
His contributions to the field of mathematical sciences have influenced both theoretical and applied aspects of PDEs. His research has expanded existing frameworks and addressed fundamental questions related to fluid mechanics and geophysical flows. His findings on attractor behavior and weak solution regularity criteria have been cited widely, providing essential references for ongoing studies in the field.
🏆Awards and Honors
Prof. Qian has been recognized for his outstanding contributions to research in mathematical sciences. His dedication to advancing PDE theories and applications has earned him a nomination for the Best Researcher Award, signifying his excellence in mathematical analysis and problem-solving.
💪 Legacy and Future Contributions
With a strong foundation in mathematical physics and fluid dynamics, Prof. Qian continues to push the boundaries of knowledge in PDEs. His ongoing projects, supported by the Natural Science Foundation of China and Zhejiang Province, aim to further the understanding of non-autonomous systems, Navier-Stokes equations, and MHD dynamics. His commitment to academic excellence ensures a lasting impact on future generations of researchers in applied mathematics.
Publications Top Notes
1️⃣ Prodi–Serrin condition for 3D MHD equations via one directional derivative of velocity and magnetic fields
📅 Year: 2025 | 📄 Journal: Journal of Differential Equations
2️⃣ Uniqueness of solution for incompressible inhomogeneous Navier–Stokes equations in dimension two
📅 Year: 2025 | 📄 Journal: Applied Mathematics Letters
3️⃣ Asymptotic profiles and concentration–diffusion effects in fractional incompressible flows
📅 Year: 2023 | 📄 Journal: Nonlinear Analysis
4️⃣ Global well‐posedness of 3D incompressible inhomogeneous magnetohydrodynamic equations
📅 Year: 2023 | 📄 Journal: Mathematical Methods in the Applied Sciences
5️⃣ Global well-posedness for 3D incompressible inhomogeneous asymmetric fluids with density-dependent viscosity
📅 Year: 2022 | 📄 Journal: Journal of Differential Equations
6️⃣ Prodi–Serrin condition for 3D Navier–Stokes equations via one directional derivative of velocity
📅 Year: 2021 | 📄 Journal: Journal of Differential Equations
7️⃣ The global regularity for 3D inhomogeneous incompressible fluids with vacuum
📅 Year: 2021 | 📄 Journal: Applied Mathematics Letters
8️⃣ Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in R²
📅 Year: 2019 | 📄 Journal: Journal of Differential Equations 09
9️⃣ Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in RN
📅 Year: 2018 | 📄 Journal: Nonlinear Analysis: Real World Applications
🔟 The regularity criterion for the 3D Navier–Stokes equations involving end-point Prodi–Serrin type conditions
📅 Year: 2018 | 📄 Journal: Applied Mathematics Letters