Dai, Mimi; Hoeller, Margaret; Peng, Qirui; Zhang, Xiangxiong Kolmogorov’s dissipation number and determining wavenumber for dyadic models. (English) Zbl 07791459 Nonlinearity 37, No. 2, Article ID 025015, 26 p. (2024). MSC: 35Q35 76D03 76W05 PDFBibTeX XMLCite \textit{M. Dai} et al., Nonlinearity 37, No. 2, Article ID 025015, 26 p. (2024; Zbl 07791459) Full Text: DOI arXiv OA License
Dai, Mimi; Wu, Chao Dissipation wavenumber and regularity for electron magnetohydrodynamics. (English) Zbl 1527.35273 J. Differ. Equations 376, 655-681 (2023). MSC: 35Q35 76X05 76W05 76D03 76B03 81V70 35B65 PDFBibTeX XMLCite \textit{M. Dai} and \textit{C. Wu}, J. Differ. Equations 376, 655--681 (2023; Zbl 1527.35273) Full Text: DOI arXiv
Cheskidov, Alexey; Dai, Mimi; Friedlander, Susan Dyadic models for fluid equations: a survey. (English) Zbl 1518.35543 J. Math. Fluid Mech. 25, No. 3, Paper No. 62, 26 p. (2023). MSC: 35Q35 76D03 76D05 76W05 35B65 35B41 35B44 35A01 35A02 35R09 PDFBibTeX XMLCite \textit{A. Cheskidov} et al., J. Math. Fluid Mech. 25, No. 3, Paper No. 62, 26 p. (2023; Zbl 1518.35543) Full Text: DOI arXiv
Dai, Mimi Phenomenologies of intermittent Hall MHD turbulence. (English) Zbl 1496.35312 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5535-5560 (2022). MSC: 35Q35 76D03 76W05 76F02 PDFBibTeX XMLCite \textit{M. Dai}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5535--5560 (2022; Zbl 1496.35312) Full Text: DOI arXiv
Dai, Mimi Blow-up of a dyadic model with intermittency dependence for the Hall MHD. (English) Zbl 1508.35066 Physica D 428, Article ID 133066, 13 p. (2021). MSC: 35Q35 76W05 35B09 35B44 35D30 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{M. Dai}, Physica D 428, Article ID 133066, 13 p. (2021; Zbl 1508.35066) Full Text: DOI arXiv
Dai, Mimi; Liu, Han Applications of harmonic analysis techniques to regularity problems of dissipative equations. (English) Zbl 1436.76005 Danielli, Donatella (ed.) et al., Advances in harmonic analysis and partial differential equations. AMS special session, Northeastern University, Boston, MA, USA, April 21–22, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 748, 35-56 (2020). MSC: 76D03 35B44 35B65 35Q35 PDFBibTeX XMLCite \textit{M. Dai} and \textit{H. Liu}, Contemp. Math. 748, 35--56 (2020; Zbl 1436.76005) Full Text: DOI arXiv
Cheskidov, Alexey; Dai, Mimi Kolmogorov’s dissipation number and the number of degrees of freedom for the 3D Navier-Stokes equations. (English) Zbl 1420.35227 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 429-446 (2019). MSC: 35Q35 37L30 76D05 35B41 PDFBibTeX XMLCite \textit{A. Cheskidov} and \textit{M. Dai}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 429--446 (2019; Zbl 1420.35227) Full Text: DOI arXiv
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon Determining modes for the 3D Navier-Stokes equations. (English) Zbl 1392.35205 Physica D 374-375, 1-9 (2018). MSC: 35Q30 35D30 35B41 PDFBibTeX XMLCite \textit{A. Cheskidov} et al., Physica D 374--375, 1--9 (2018; Zbl 1392.35205) Full Text: DOI arXiv
Dai, Mimi Regularity criterion for the 3D Hall-magneto-hydrodynamics. (English) Zbl 1334.76031 J. Differ. Equations 261, No. 1, 573-591 (2016). MSC: 76D03 35Q35 PDFBibTeX XMLCite \textit{M. Dai}, J. Differ. Equations 261, No. 1, 573--591 (2016; Zbl 1334.76031) Full Text: DOI arXiv