Edit Profile (opens in new tab) Dai, Mimi Co-Author Distance Author ID: dai.mimi Published as: Dai, Mimi Documents Indexed: 53 Publications since 2011, including 13 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 35 Joint Publications 712 Co-Co-Authors all top 5 Co-Authors 17 single-authored 12 Cheskidov, Alexey 7 Schonbek, Maria Elena 6 Liu, Han 4 Friedlander, Susan Jean 4 Peng, Qirui 4 Qing, Jie 2 Feireisl, Eduard 2 Rocca, Elisabetta 2 Schimperna, Giulio 2 Zhang, Xiangxiong 1 Bona, Jerry Lloyd 1 Hoeller, Margaret 1 Kavlie, Landon 1 Krol, Jacob 1 Vyas, Bhakti 1 Wang, S. 1 Wu, Chao all top 5 Serials 6 Journal of Mathematical Fluid Mechanics 5 Nonlinearity 4 Journal of Differential Equations 3 Physica D 3 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mechanica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Advances in Differential Equations 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences all top 5 Fields 48 Partial differential equations (35-XX) 43 Fluid mechanics (76-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 23 Fields 213 Partial differential equations (35-XX) 172 Fluid mechanics (76-XX) 33 Biology and other natural sciences (92-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Real functions (26-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 7 Quantum theory (81-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geophysics (86-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year