Alexey Cheskidov檢視原始碼討論檢視歷史

Alexey Cheskidov

來自 西湖大學 的圖片

本名 Alexey Cheskidov 國家 中國 外語

Alexey Cheskidov，是中國著名的研究員、博士生導師。

簡介

Alexey Cheskidov 2004年畢業於印第安納大學，獲數學博士學位。2004 年至2023 年任職於密歇根大學、芝加哥大學、伊利諾伊大學芝加哥分校等高校，並於2016 年成為正教授。

2021年至2022年為普林斯頓高等研究院成員。

2023年8月加入西湖大學，任理論科學研究院數學講席教授。

學術成果

Alexey Cheskidov教授長期致力於研究數學流體動力學和湍流中出現的一些基本問題，包括Navier-Stokes、Euler及相關方程解的正則性，耗散反常，Onsager 猜想，凸積分的非唯一性，全局吸引子，以及湍流中的間歇性的作用。

代表論文

1) A. Cheskidov and X. Luo, L^2-critical nonuniqueness for the 2D Navier-Stokes equations, Annals of PDE 9, 13 (2023).

2) A. Cheskidov and X. Luo, Sharp nonuniqueness for the Navier-Stokes equations, Inventiones mathematicae, 229, 987--1054 (2022).

3) A. Cheskidov and R. Shvydkoy, Volumetric theory of intermittency in fully developed turbulence, Archive for Rational Mechanics and Analysis 247, 45 (2023)

4) A. Cheskidov and M. Dai, Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier-Stokes equations. Proceedings of the Royal Society of Edinburgh: Section A, 149, 429-446 (2019).

5) A. Cheskidov, M. Dai, and L. Kavlie, Determining modes for the 3D Navier-Stokes equations, Physica D, 374: 1–9 (2018).

6) A. Cheskidov, M. C. Lopes Filho, H. J. Nussenzveig Lopes, and R. Shvydkoy, Energy conservation in two-dimensional incompressible ideal fluids, Communications in Mathematical Physics, 348: 129-143 (2016).

7) A. Cheskidov and R. Shvydkoy, a unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov's dissipation range, J. Math. Fluid Mech., DOI 10.1007 (2014).

8) A. Cheskidov and S. Lu, Uniform global attractors for the nonautonomous 3D Navier-Stokes equations, Advances in Mathematics 267 (2014), 277-306

9) A. Cheskidov and R. Shvydkoy, The regularity of weak solutions of the 3D Navier-Stokes equations in B_ (∞,∞)~(-1), Archive for Rational Mechanics and Analysis, 195, 159-169 (2010).

10) A. Cheskidov, Global attractors of evolutionary systems, J. Dyn. Diff. Equat. 21, 249-268 (2009).

11) A. Cheskidov and S. Friedlander, The vanishing viscosity limit for a dyadic model, Physica D 238, 783-787 (2009).

12) A. Cheskidov, Blow-up in finite time for the dyadic model of the Navier-Stokes equations, AMS Tran., 360, 5101-5120 (2008).

13) A. Cheskidov, P. Constantin, S. Friedlander, and R. Shvydkoy, Energy conservation and Onsager's conjecture for the Euler equations, Nonlinearity 21, 1233-1252 (2008).

14) A. Cheskidov and C. Foias, On global attractors of the 3D Navier-Stokes equations, Journal of Differential Equations 231, 714-754 (2006).

15) A. Cheskidov, Boundary layer for the Navier-Stokes-alpha model of fluid turbulence, Archive for Rational Mechanics and Analysis 172, 333-362 (2004).