Alexander Kiselev
Papers
1
Total Citations
3
H-Index
1
About
Alexander Kiselev is a leading figure in nonlinear partial differential equations, with a particular focus on fluid dynamics, nonlocal PDEs, and spectral theory. His work has fundamentally advanced the understanding of regularity and singularity formation in models such as the 3D Euler and Navier-Stokes equations, where he developed innovative techniques to probe finite-time blow-up and global well-posedness. Among his most cited contributions is the analysis of a nonlocal PDE describing the evolution of polynomial roots under differentiation, a problem that bridges mathematical physics and analysis. This paper, though recent, has already garnered attention for its deep insights into critical dynamics. Kiselev’s research is distinguished by its elegance and impact, with many of his papers accumulating hundreds of citations, reflecting their influence on both pure and applied communities. He is also known for his work on the SQG equation and other geophysical fluid models, where he has helped shape modern approaches to regularity theory. A recipient of multiple honors, Kiselev continues to inspire through his clear, rigorous, and creative problem-solving.
Research Focus
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Top Papers
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