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Author ID: dai.mimi Recent zbMATH articles by "Dai, Mimi"
Published as: Dai, Mimi

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 318 times in 222 Documents Cited by Year
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
46
2017
Asymptotic behavior of solutions to liquid crystal systems in \({\mathbb R}^3\). Zbl 1294.76050
Dai, Mimi; Qing, Jie; Schonbek, Maria
32
2012
Regularity criterion for the 3D Hall-magneto-hydrodynamics. Zbl 1334.76031
Dai, Mimi
29
2016
Asymptotic behavior of solutions to the liquid crystal system in \(H^m(\mathbb{R}^3)\). Zbl 1307.76026
Dai, Mimi; Schonbek, Maria
24
2014
The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\). Zbl 1394.35513
Cheskidov, Alexey; Dai, Mimi
18
2018
Local well-posedness for the Hall-MHD system in optimal Sobolev spaces. Zbl 1467.76073
Dai, Mimi
16
2021
Local well-posedness of the Hall-MHD system in \(H^S(\mathbb{R}^N)\) with \(s>\frac{n}{2}\). Zbl 1523.35122
Dai, Mimi
14
2020
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
14
2016
Stress field around an arbitrarily shaped nanosized hole with surface tension. Zbl 1326.74014
Wang, S.; Dai, M.; Ru, C. Q.; Gao, C. F.
14
2014
Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion. Zbl 1412.35248
Dai, Mimi; Liu, Han
13
2019
Kolmogorov’s dissipation number and the number of degrees of freedom for the 3D Navier-Stokes equations. Zbl 1420.35227
Cheskidov, Alexey; Dai, Mimi
11
2019
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
10
2018
Regularity of solutions to the liquid crystals systems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1252.76021
Dai, Mimi; Qing, Jie; Schonbek, Maria
9
2012
Norm-inflation results for the BBM equation. Zbl 1350.35068
Bona, Jerry; Dai, Mimi
9
2017
Nonunique weak solutions in Leray-Hopf class for the three-dimensional Hall-MHD system. Zbl 1503.76128
Dai, Mimi
9
2021
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
8
2018
Norm inflation for generalized Navier-Stokes equations. Zbl 1426.76088
Cheskidov, Alexey; Dai, Mimi
8
2014
Norm inflation for generalized magneto-hydrodynamic system. Zbl 1304.76012
Cheskidov, Alexey; Dai, Mimi
7
2015
Norm inflation for incompressible magneto-hydrodynamic system in \(\dot B^{-1,\infty}_\infty\). Zbl 1357.76099
Dai, Mimi; Qing, Jie; Schonbek, Maria E.
6
2011
Regularity criterion and energy conservation for the supercritical quasi-geostrophic equation. Zbl 1365.76027
Dai, Mimi
5
2017
Existence and stability of steady-state solutions to the quasi-geostrophic equations in \(\mathbb R^{2}\). Zbl 1328.76019
Dai, Mimi
5
2015
Existence of regular solutions to an Ericksen-Leslie model of the liquid crystal system. Zbl 1336.35288
Dai, Mimi
5
2015
On the determining wavenumber for the nonautonomous subcritical SQG equation. Zbl 1446.35121
Cheskidov, Alexey; Dai, Mimi
3
2020
Blow-up of a dyadic model with intermittency dependence for the Hall MHD. Zbl 1508.35066
Dai, Mimi
3
2021
Regularity problem for the nematic LCD system with Q-tensor in \(\mathbb R^3\). Zbl 1394.35352
Dai, Mimi
3
2017
Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces. Zbl 1426.35057
Cheskidov, Alexey; Dai, Mimi
2
2020
Low modes regularity criterion for a chemotaxis-Navier-Stokes system. Zbl 1433.76032
Dai, Mimi; Liu, Han
2
2020
Dyadic models for ideal MHD. Zbl 1490.35306
Dai, Mimi; Friedlander, Susan
2
2022
On uniqueness and helicity conservation of weak solutions to the electron-MHD system. Zbl 1491.35333
Dai, Mimi; Krol, Jacob; Liu, Han
2
2022
On well-posedness of generalized Hall-magneto-hydrodynamics. Zbl 1492.35221
Dai, Mimi; Liu, Han
2
2022
Uniqueness and non-uniqueness results for forced dyadic MHD models. Zbl 1504.35307
Dai, Mimi; Friedlander, Susan
1
2023
Uniqueness and non-uniqueness results for forced dyadic MHD models. Zbl 1504.35307
Dai, Mimi; Friedlander, Susan
1
2023
Dyadic models for ideal MHD. Zbl 1490.35306
Dai, Mimi; Friedlander, Susan
2
2022
On uniqueness and helicity conservation of weak solutions to the electron-MHD system. Zbl 1491.35333
Dai, Mimi; Krol, Jacob; Liu, Han
2
2022
On well-posedness of generalized Hall-magneto-hydrodynamics. Zbl 1492.35221
Dai, Mimi; Liu, Han
2
2022
Local well-posedness for the Hall-MHD system in optimal Sobolev spaces. Zbl 1467.76073
Dai, Mimi
16
2021
Nonunique weak solutions in Leray-Hopf class for the three-dimensional Hall-MHD system. Zbl 1503.76128
Dai, Mimi
9
2021
Blow-up of a dyadic model with intermittency dependence for the Hall MHD. Zbl 1508.35066
Dai, Mimi
3
2021
Local well-posedness of the Hall-MHD system in \(H^S(\mathbb{R}^N)\) with \(s>\frac{n}{2}\). Zbl 1523.35122
Dai, Mimi
14
2020
On the determining wavenumber for the nonautonomous subcritical SQG equation. Zbl 1446.35121
Cheskidov, Alexey; Dai, Mimi
3
2020
Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces. Zbl 1426.35057
Cheskidov, Alexey; Dai, Mimi
2
2020
Low modes regularity criterion for a chemotaxis-Navier-Stokes system. Zbl 1433.76032
Dai, Mimi; Liu, Han
2
2020
Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion. Zbl 1412.35248
Dai, Mimi; Liu, Han
13
2019
Kolmogorov’s dissipation number and the number of degrees of freedom for the 3D Navier-Stokes equations. Zbl 1420.35227
Cheskidov, Alexey; Dai, Mimi
11
2019
The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\). Zbl 1394.35513
Cheskidov, Alexey; Dai, Mimi
18
2018
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
10
2018
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
8
2018
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
46
2017
Norm-inflation results for the BBM equation. Zbl 1350.35068
Bona, Jerry; Dai, Mimi
9
2017
Regularity criterion and energy conservation for the supercritical quasi-geostrophic equation. Zbl 1365.76027
Dai, Mimi
5
2017
Regularity problem for the nematic LCD system with Q-tensor in \(\mathbb R^3\). Zbl 1394.35352
Dai, Mimi
3
2017
Regularity criterion for the 3D Hall-magneto-hydrodynamics. Zbl 1334.76031
Dai, Mimi
29
2016
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
14
2016
Norm inflation for generalized magneto-hydrodynamic system. Zbl 1304.76012
Cheskidov, Alexey; Dai, Mimi
7
2015
Existence and stability of steady-state solutions to the quasi-geostrophic equations in \(\mathbb R^{2}\). Zbl 1328.76019
Dai, Mimi
5
2015
Existence of regular solutions to an Ericksen-Leslie model of the liquid crystal system. Zbl 1336.35288
Dai, Mimi
5
2015
Asymptotic behavior of solutions to the liquid crystal system in \(H^m(\mathbb{R}^3)\). Zbl 1307.76026
Dai, Mimi; Schonbek, Maria
24
2014
Stress field around an arbitrarily shaped nanosized hole with surface tension. Zbl 1326.74014
Wang, S.; Dai, M.; Ru, C. Q.; Gao, C. F.
14
2014
Norm inflation for generalized Navier-Stokes equations. Zbl 1426.76088
Cheskidov, Alexey; Dai, Mimi
8
2014
Asymptotic behavior of solutions to liquid crystal systems in \({\mathbb R}^3\). Zbl 1294.76050
Dai, Mimi; Qing, Jie; Schonbek, Maria
32
2012
Regularity of solutions to the liquid crystals systems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1252.76021
Dai, Mimi; Qing, Jie; Schonbek, Maria
9
2012
Norm inflation for incompressible magneto-hydrodynamic system in \(\dot B^{-1,\infty}_\infty\). Zbl 1357.76099
Dai, Mimi; Qing, Jie; Schonbek, Maria E.
6
2011
all top 5

Cited by 280 Authors

25 Dai, Mimi
13 Rocca, Elisabetta
12 Signori, Andrea
12 Zhao, Xiaopeng
9 Wu, Hao
8 Cheskidov, Alexey
8 Sprekels, Jürgen
6 Colli, Pierluigi
6 Garcke, Harald
6 Yao, Zhengan
5 Duan, Ning
5 Friedlander, Susan Jean
5 Lam, Kei Fong
5 Liu, Han
5 Liu, Qiao
4 Cavaterra, Cecilia
4 Giorgini, Andrea
4 Grasselli, Maurizio
4 Jia, Yan
4 Kalita, Piotr
4 Schimperna, Giulio
4 Tao, Qiang
4 Xu, Xiang
4 Zhu, Mingxuan
3 Bae, Hantaek
3 Brzeźniak, Zdzisław
3 Coti Zelati, Michele
3 Gala, Sadek
3 Gao, Jincheng
3 Gilardi, Gianni
3 Jolly, Michael Summerfield
3 Martinez, Vincent R.
3 Miranville, Alain M.
3 Székelyhidi, László jun.
3 Titi, Edriss Saleh
3 Xie, Qianqian
3 Zhao, Caidi
2 Benilov, Eugene S.
2 Bie, Qunyi
2 Bona, Jerry Lloyd
2 Della Porta, Francesco
2 Dong, Boqing
2 Faraco, Daniel
2 Frigeri, Sergio
2 Fritz, Marvin
2 Guo, Boling
2 Hausenblas, Erika
2 He, Jingning
2 Hieber, Matthias
2 Jeong, In-Jee
2 Kim, Jaemyoung
2 Knopf, Patrik
2 Li, Jinlu
2 Li, Yin
2 Li, Zhouyu
2 Li, Zijin
2 Lima, Ernesto A. B. F.
2 Lindberg, Sauli
2 Liu, Shengquan
2 Liu, Yang
2 Liu, Yuning
2 Łukaszewicz, Grzegorz
2 Oden, John Tinsley
2 Prüß, Jan Wilhelm
2 Ragusa, Maria Alessandra
2 Ratiu, Tudor Stefan
2 Razafimandimby, Paul André
2 Scarpa, Luca
2 Schonbek, Maria Elena
2 Siemianowski, Jakub
2 Stefanov, Atanas G.
2 Suen, Anthony
2 Sun, Chunyou
2 Wang, Ming
2 Wang, Yanqing
2 Wei, Ruiying
2 Xi, Xiaoyu
2 Yang, Ying
2 Ye, Hailong
2 Yu, Huan
2 Zhang, Huali
1 Agarwal, Ravi P.
1 Alghamdi, Ahmad Mohammed Ahmad
1 Alsayed, Hawraa
1 Banquet Brango, Carlos
1 Barbera, Daniele
1 Barker, Tobias
1 Bautista, George J.
1 Beekie, Rajendra
1 Biswas, Animikh
1 Biswas, Tania
1 Burczak, Jan
1 Caraballo Garrido, Tomás
1 Carvajal, Xavier Paredes
1 Chae, Dongho
1 Chechkin, Gregory Aleksandrovich
1 Chen, Fei
1 Chen, Hongqiu
1 Chkhetiani, Otto G.
1 Contreras, Andres A.
...and 180 more Authors
all top 5

Cited in 83 Serials

20 Journal of Differential Equations
18 Journal of Mathematical Fluid Mechanics
13 Journal of Mathematical Analysis and Applications
9 Discrete and Continuous Dynamical Systems. Series B
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Applied Mathematics and Optimization
7 SIAM Journal on Mathematical Analysis
6 Physica D
6 Nonlinear Analysis. Real World Applications
5 Archive for Rational Mechanics and Analysis
5 Mathematical Methods in the Applied Sciences
5 Nonlinearity
5 Journal of Nonlinear Science
5 Discrete and Continuous Dynamical Systems
5 Communications on Pure and Applied Analysis
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 AIMS Mathematics
3 Applicable Analysis
3 Journal of Mathematical Physics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Dynamics and Differential Equations
3 Calculus of Variations and Partial Differential Equations
3 Annals of PDE
2 Communications in Mathematical Physics
2 Journal of Fluid Mechanics
2 Applied Mathematics and Computation
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Asymptotic Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Abstract and Applied Analysis
2 Advanced Nonlinear Studies
2 Discrete and Continuous Dynamical Systems. Series S
1 Communications on Pure and Applied Mathematics
1 Geophysical and Astrophysical Fluid Dynamics
1 Journal of Computational Physics
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Bulletin of Mathematical Biology
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Topological Methods in Nonlinear Analysis
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Advances in Differential Equations
1 Interfaces and Free Boundaries
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Modelling and Control
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Numerical Mathematics
1 Stochastics and Dynamics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Networks and Heterogeneous Media
1 Advances in Mathematical Physics
1 Analysis and Mathematical Physics
1 Mathematical Control and Related Fields
1 Journal of Applied Analysis and Computation
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Evolution Equations and Control Theory
1 Advances in Nonlinear Analysis
1 European Journal of Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Electronic Research Archive

Citations by Year