Edit Profile (opens in new tab) Chae, Dongho Co-Author Distance Author ID: chae.dongho Published as: Chae, Dongho; Chae, D.; Chae, Donghao more...less Homepage: http://cau.ac.kr/~dchae/ External Links: MGP Documents Indexed: 172 Publications since 1991 2 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 41 Co-Authors with 98 Joint Publications 1,403 Co-Co-Authors all top 5 Co-Authors 75 single-authored 23 Wolf, Jörg 10 Imanuvilov, Oleg Yu. 10 Lee, Jihoon 9 Constantin, Peter 9 Wu, Jiahong 5 Dubovskii, Pavel B. 5 Kim, Namkwon 4 Nam, Hee-Seok 3 Jeong, In-Jee 3 Kim, Sungki 2 Choe, Kwangseok 2 Cordoba, Diego 2 Han, Jongmin 2 Kang, Kyungkeun 2 Kim, Junha 2 Kim, Sang Moon 2 Liu, Jianguo 2 Tarantello, Gabriella 2 Tsai, Tai-Peng 2 Weng, Shangkun 1 Bae, Hantaek 1 Chae, Myeongju 1 Choe, Hi Jun 1 Choi, Kyudong 1 Córdoba Barba, Antonio Juan 1 Degond, Pierre 1 Foiaș, Ciprian 1 Fontelos López, Marco Antonio 1 Gancedo, Francisco 1 Ha, Seung-Yeal 1 Huh, Hyungjin 1 Miao, Qianyun 1 Ohtsuka, Hiroshi 1 Okamoto, Hisashi 1 Schonbek, Maria Elena 1 Shvydkoy, Roman V. 1 Suzuki, Takashi 1 Tadmor, Eitan 1 Wan, Renhui 1 Xue, Liutang 1 Yoneda, Tsuyoshi all top 5 Serials 15 Communications in Mathematical Physics 14 Journal of Differential Equations 9 Archive for Rational Mechanics and Analysis 9 Nonlinearity 8 Journal of Mathematical Analysis and Applications 8 Advances in Mathematics 7 Journal of Nonlinear Science 7 Journal of Mathematical Fluid Mechanics 6 Journal of Mathematical Physics 6 Communications in Partial Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Calculus of Variations and Partial Differential Equations 3 Communications on Pure and Applied Mathematics 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Theory, Methods & Applications 2 Letters in Mathematical Physics 2 Indiana University Mathematics Journal 2 Mathematische Zeitschrift 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales Henri Poincaré 2 Nonlinear Analysis. Real World Applications 2 Communications in Mathematical Sciences 2 Lecture Notes Series, Seoul 1 Classical and Quantum Gravity 1 Journal of the Korean Mathematical Society 1 Nagoya Mathematical Journal 1 Chinese Annals of Mathematics. Series B 1 Journal of Integral Equations and Applications 1 Differential and Integral Equations 1 Mathematical Research Letters 1 Advances in Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Analysis (München) 1 Journal of Dynamical and Control Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 168 Partial differential equations (35-XX) 119 Fluid mechanics (76-XX) 17 Quantum theory (81-XX) 16 Global analysis, analysis on manifolds (58-XX) 7 Geophysics (86-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 145 Publications have been cited 2,939 times in 1,572 Documents Cited by ▼ Year ▼ Global regularity for the 2D Boussinesq equations with partial viscosity terms. Zbl 1100.35084Chae, Dongho 284 2006 Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064Chae, Dongho; Degond, Pierre; Liu, Jian-Guo 142 2014 On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics. Zbl 1295.35122Chae, Dongho; Lee, Jihoon 128 2014 On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212Chae, Dongho; Schonbek, Maria 119 2013 The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory. Zbl 1002.58015Chae, Dongho; Imanuvilov, Oleg Yu. 111 2000 Local existence and blow-up criterion for the Boussinesq equations. Zbl 0882.35096Chae, Dongho; Nam, Hee-Seok 103 1997 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 87 2012 On the regularity of the axisymmetric solutions of the Navier-Stokes equations. Zbl 0992.35068Chae, Dongho; Lee, Jihoon 79 2002 Global well-posedness in the super-critical dissipative quasi-geostrophic equations. Zbl 1019.86002Chae, Dongho; Lee, Jihoon 77 2003 Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314Chae, Dongho; Wan, Renhui; Wu, Jiahong 76 2015 Singularity formation for the incompressible Hall-MHD equations without resistivity. Zbl 1347.35199Chae, Dongho; Weng, Shangkun 68 2016 Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010Chae, Dongho; Constantin, Peter; Wu, Jiahong 66 2011 Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations. Zbl 0939.35150Chae, Dongho; Kim, Sung-Ki; Nam, Hee-Seok 65 1999 Regularity criterion in terms of pressure for the Navier-Stokes equations. Zbl 1007.35064Chae, Dongho; Lee, Jihoon 56 2001 Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations. Zbl 1285.35069Chae, Dongho 55 2014 Finite time singularities in a 1D model of the quasi-geostrophic equation. Zbl 1128.76372Chae, Dongho; Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A. 50 2005 On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. Zbl 1025.35016Chae, Dongho 48 2002 Local existence and blowup criterion for the Euler equations in the Besov spaces. Zbl 1068.35097Chae, Dongho 48 2004 On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 1348.35167Chae, Dongho; Wolf, Jörg 44 2016 The quasi-geostrophic equation in the Triebel-Lizorkin spaces. Zbl 1029.35006Chae, Dongho 43 2003 The 2D Boussinesq equations with logarithmically supercritical velocities. Zbl 1248.35156Chae, Dongho; Wu, Jiahong 39 2012 Nonexistence of self-similar singularities for the 3D incompressible Euler equations. Zbl 1157.35079Chae, Dongho 37 2007 Exact controllability for semilinear parabolic equations with Neumann boundary conditions. Zbl 0946.93007Chae, Dongho; Imanuvilov, O. Yu.; Kim, Sang Moon 35 1996 On partial regularity for the 3D nonstationary Hall magnetohydrodynamics equations on the plane. Zbl 1336.35287Chae, Dongho; Wolf, Jörg 33 2016 Regularity of solutions to the Navier-Stokes equation. Zbl 0923.35117Chae, Dongho; Choe, Hi-Jun 33 1999 On the regularity conditions for the dissipative quasi-geostrophic equations. Zbl 1141.76010Chae, Dongho 31 2006 Topological multivortex solutions of the self-dual Maxwell-Chern-Simons-Higgs system. Zbl 0869.35094Chae, Dongho; Kim, Namkwon 30 1997 On the Liouville theorem for the stationary Navier-Stokes equations in a critical space. Zbl 1306.35082Chae, Dongho; Yoneda, Tsuyoshi 29 2013 Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations. Zbl 1465.76030Weng, Shangkun; Chae, Dongho 29 2016 On the regularity conditions for the Navier-Stokes and related equations. Zbl 1130.35100Chae, Dongho 26 2007 Generic solvability of the axisymmetric 3-D Euler equations and the 2-D Boussinesq equations. Zbl 0939.35149Chae, Dongho; Imanuvilov, Oleg Yu. 26 1999 On the finite time blow-up of the Euler-Poisson equations in \(\mathbb R^{N}\). Zbl 1157.35086Chae, Donghao; Tadmor, Eitan 25 2008 On the interior regularity of suitable weak solutions to the Navier-Stokes equations. Zbl 1130.35101Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon 23 2007 Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416Chae, Dongho; Constantin, Peter; Wu, Jiahong 22 2012 On partial regularity for the steady Hall magnetohydrodynamics system. Zbl 1328.35165Chae, Dongho; Wolf, Jörg 22 2015 Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations. Zbl 1147.35068Chae, Dongho 21 2007 Non-topological multivortex solutions to the self-dual Maxwell-Chern-Simons-Higgs systems. Zbl 1079.58009Chae, Dongho; Imanuvilov, Oleg Yu. 21 2002 On Liouville type theorem for the stationary Navier-Stokes equations. Zbl 1433.35218Chae, Dongho; Wolf, Jörg 20 2019 Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory. Zbl 1073.58014Chae, Dongho; Choe, Kwangseok 19 2002 Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in \(L_{\mathrm{loc}}^2(\mathbb{R}^3)\). Zbl 1391.76057Chae, Dongho; Wolf, Jörg 17 2018 On formation of a locally self-similar collapse in the incompressible Euler equations. Zbl 1285.35070Chae, Dongho; Shvydkoy, Roman 17 2013 An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213Chae, Dongho; Constantin, Peter; Wu, Jiahong 16 2014 On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. Zbl 1104.35024Chae, Dongho 16 2006 The global existence in the Cauchy problem of the Maxwell-Chern-Simons-Higgs system. Zbl 1060.81048Chae, Dongho; Chae, Myeongju 16 2002 Global existence for small initial data in the Born-Infeld equations. Zbl 1063.81042Chae, Dongho; Huh, Hyungjin 16 2003 On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations. Zbl 1367.35104Chae, Dongho; Wolf, Jörg 16 2017 Incompressible Euler equations: the blow-up problem and related results. Zbl 1186.35001Chae, Dongho 15 2008 On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations. Zbl 1195.76146Chae, Dongho 14 2010 On the Euler equations in the critical Triebel-Lizorkin spaces. Zbl 1093.76005Chae, Dongho 14 2003 Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158Chae, Dongho; Constantin, Peter 13 2015 Blow-up, zero \(\alpha\) limit and the Liouville type theorem for the Euler-poincaré equations. Zbl 1251.35075Chae, Dongho; Liu, Jian-Guo 13 2012 Remarks on the blowup criterion of the three-dimensional Euler equations. Zbl 1068.35098Chae, Dongho 13 2005 On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in \(\mathbb R^N\). Zbl 1423.35307Chae, Dongho 13 2010 On the condensate multivortex solutions of the self-dual Maxwell-Chern-Simons \(\mathbb{CP}(1)\) model. Zbl 1093.58503Chae, D.; Nam, H.-S. 12 2001 Weak solutions of 2-D Euler equations with initial vorticity in \(L(\log L\)). Zbl 0854.35082Chae, Dongho 12 1993 On the formation of shocks to the compressible Euler equations. Zbl 1183.35225Chae, Dongho; Ha, Seung-Yeal 12 2009 Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity. Zbl 1163.35030Chae, Dongho 12 2008 On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 1472.35268Chae, D.; Wolf, J. 12 2021 On the continuation principles for the Euler equations and the quasi-geostrophic equation. Zbl 1105.35067Chae, Dongho 11 2006 Multiple existence of the multivortex solutions of the self-dual Chern-Simons \(\mathbb{C} P(1)\) model on a doubly periodic domain. Zbl 1015.81037Chae, Dongho; Nam, Hee-Seok 11 1999 Regularity of the \(3D\) stationary Hall magnetohydrodynamic equations on the plane. Zbl 1371.35217Chae, Dongho; Wolf, Jörg 11 2017 Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry. Zbl 1025.83007Chae, Dongho 11 2003 Local existence and blow-up criterion of the inhomogeneous Euler equations. Zbl 1048.35074Chae, Dongho; Lee, Jihoon 11 2003 Note on the Liouville type problem for the stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 1427.35174Chae, Dongho 10 2020 Logarithmically regularized inviscid models in borderline Sobolev spaces. Zbl 1329.76027Chae, Dongho; Wu, Jiahong 10 2012 Remarks on the Liouville type results for the compressible Navier-Stokes equations in \(\mathbb R^N\). Zbl 1377.76028Chae, Dongho 10 2012 On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations. Zbl 0858.76068Chae, Dongho; Kim, Namkwon 10 1996 On the multi-string solutions of the self-dual static Einstein-Maxwell-Higgs system. Zbl 1070.83001Chae, Dongho 10 2004 On Liouville type theorems for the stationary MHD and Hall-MHD systems. Zbl 1470.35255Chae, Dongho; Wolf, Jörg 9 2021 On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations. Zbl 1109.76012Chae, Dongho 9 2006 On planar selfdual electroweak vortices. Zbl 1073.35079Chae, Dongho; Tarantello, Gabriella 9 2004 On the generalized self-similar singularities for the Euler and the Navier-Stokes equations. Zbl 1189.35236Chae, Dongho 9 2010 On the geometric regularity conditions for the 3D Navier-Stokes equations. Zbl 1358.35089Chae, Dongho; Lee, Jihoon 8 2017 On the self-similar solutions of the 3D Euler and the related equations. Zbl 1219.35183Chae, Dongho 8 2011 Existence of multistring solutions of the self-gravitating massive \(W\)-boson. Zbl 1086.35031Chae, Dongho 8 2005 On the finite-time singularities of the 3D incompressible Euler equations. Zbl 1124.35048Chae, Dongho 8 2007 Removing discretely self-similar singularities for the 3D Navier-Stokes equations. Zbl 1386.76023Chae, Dongho; Wolf, Jörg 8 2017 Selfgravitating electroweak strings. Zbl 1159.81430Chae, Dongho; Tarantello, Gabriella 8 2005 Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows. Zbl 0911.76081Chae, Dongho; Kim, Namkwon 8 1997 On the blow-up problem for the axisymmetric 3D Euler equations. Zbl 1186.35155Chae, Dongho 7 2008 The geometric approaches to the possible singularities in the inviscid fluid flows. Zbl 1152.76015Chae, Dongho 7 2008 Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109Chae, Dongho; Constantin, Peter; Wu, Jiahong 7 2012 Remarks on the blow-up of the Euler equations and the related equations. Zbl 1145.35443Chae, Dongho 7 2004 Euler’s equations and the maximum principle. Zbl 1308.35185Chae, Dongho 6 2015 On the uniqueness of the unbounded classical solutions of the Navier- Stokes and associated equations. Zbl 0810.35079Kim, Namkwon; Chae, Dongho 6 1994 The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. II: The general case. Zbl 0732.35070Chae, Dongho 6 1991 On the transport equations with singular/regular nonlocal velocities. Zbl 1321.35155Chae, Dongho 6 2014 Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data. Zbl 0903.35050Chae, Dongho; Imanuvilov, Oleg Yu. 6 1998 Some existence results for solutions to \(\text{SU}(3)\) Toda system. Zbl 1135.58301Chae, Dongho; Ohtsuka, Hiroshi; Suzuki, Takashi 6 2005 Liouville type theorems for the Euler and the Navier-Stokes equations. Zbl 1229.35166Chae, Dongho 6 2011 Remarks on the helicity of the 3-D incompressible Euler equations. Zbl 1078.76013Chae, Dongho 6 2003 On the Lagrangian dynamics of the axisymmetric 3D Euler equations. Zbl 1192.35136Chae, Dongho 5 2010 On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations. Zbl 1173.35094Chae, Dongho 5 2009 Existence of a semilinear elliptic system with exponential nonlinearities. Zbl 1194.35162Chae, Dongho 5 2007 The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. I: 2-D periodic case. Zbl 0732.35069Chae, Dongho 5 1991 Removing type II singularities off the axis for the three dimensional axisymmetric Euler equations. Zbl 1428.35322Chae, Dongho; Wolf, Jörg 5 2019 On the well-posedness of various one-dimensional model equations for fluid motion. Zbl 1457.76071Bae, Hantaek; Chae, Dongho; Okamoto, Hisashi 5 2017 On the global well-posedness and stability of the Navier-Stokes and the related equations. Zbl 1083.35086Chae, Dongho; Lee, Jihoon 5 2004 Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248Chae, Dongho; Tsai, Tai-Peng 4 2015 Weak solutions of 2-D incompressible Euler equations. Zbl 0814.76022Chae, Dongho 4 1994 Active vector models generalising 3D Euler and electron-MHD equations. Zbl 1513.76166Chae, Dongho; Jeong, In-Jee 2 2023 Anisotropic Liouville type theorem for the stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 07708818Chae, Dongho 1 2023 Localized blow-up criterion for \(C^{1, \alpha}\) solutions to the 3D incompressible Euler equations. Zbl 1518.35538Chae, Dongho; Wolf, Jörg 1 2023 Preservation of log-Hölder coefficients of the vorticity in the transport equation. Zbl 1509.35194Chae, Dongho; Jeong, In-Jee 1 2023 On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in \(\mathbb{R}^3\). Zbl 1485.35321Chae, Dongho; Kim, Junha; Wolf, Jörg 3 2022 Localized non blow-up criterion of the Beale-Kato-Majda type for the 3D Euler equations. Zbl 1496.35291Chae, Dongho; Wolf, Jörg 3 2022 On a type I singularity condition in terms of the pressure for the Euler equations in \(\mathbb{R}^3\). Zbl 1492.35195Chae, Dongho; Constantin, Peter 1 2022 Global regularity of nondiffusive temperature fronts for the two-dimensional viscous Boussinesq system. Zbl 1513.35447Chae, Dongho; Miao, Qianyun; Xue, Liutang 1 2022 On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 1472.35268Chae, D.; Wolf, J. 12 2021 On Liouville type theorems for the stationary MHD and Hall-MHD systems. Zbl 1470.35255Chae, Dongho; Wolf, Jörg 9 2021 The Euler equations in a critical case of the generalized Campanato space. Zbl 1458.35308Chae, Dongho; Wolf, Jörg 3 2021 Relative decay conditions on Liouville type theorem for the steady Navier-Stokes system. Zbl 1460.35251Chae, Dongho 2 2021 Remarks on type I blow-up for the 3D Euler equations and the 2D Boussinesq equations. Zbl 1476.35184Chae, Dongho; Constantin, Peter 1 2021 On Liouville type theorems in the stationary non-Newtonian fluids. Zbl 1479.35652Chae, Dongho; Kim, Junha; Wolf, Jörg 1 2021 Note on the Liouville type problem for the stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 1427.35174Chae, Dongho 10 2020 Energy concentrations and type I blow-up for the 3D Euler equations. Zbl 1440.35253Chae, Dongho; Wolf, Jörg 3 2020 On Liouville type theorem for stationary non-Newtonian fluid equations. Zbl 1442.35296Chae, Dongho; Wolf, Jörg 1 2020 On Liouville type theorem for the stationary Navier-Stokes equations. Zbl 1433.35218Chae, Dongho; Wolf, Jörg 20 2019 Removing type II singularities off the axis for the three dimensional axisymmetric Euler equations. Zbl 1428.35322Chae, Dongho; Wolf, Jörg 5 2019 On the regularity of solutions to the 2D Boussinesq equations satisfying type I conditions. Zbl 1421.35268Chae, Dongho; Wolf, Jörg 4 2019 Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in \(L_{\mathrm{loc}}^2(\mathbb{R}^3)\). Zbl 1391.76057Chae, Dongho; Wolf, Jörg 17 2018 On the local type I conditions for the 3D Euler equations. Zbl 1398.35152Chae, Dongho; Wolf, Jörg 3 2018 On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations. Zbl 1367.35104Chae, Dongho; Wolf, Jörg 16 2017 Regularity of the \(3D\) stationary Hall magnetohydrodynamic equations on the plane. Zbl 1371.35217Chae, Dongho; Wolf, Jörg 11 2017 On the geometric regularity conditions for the 3D Navier-Stokes equations. Zbl 1358.35089Chae, Dongho; Lee, Jihoon 8 2017 Removing discretely self-similar singularities for the 3D Navier-Stokes equations. Zbl 1386.76023Chae, Dongho; Wolf, Jörg 8 2017 On the well-posedness of various one-dimensional model equations for fluid motion. Zbl 1457.76071Bae, Hantaek; Chae, Dongho; Okamoto, Hisashi 5 2017 Singularity formation for the incompressible Hall-MHD equations without resistivity. Zbl 1347.35199Chae, Dongho; Weng, Shangkun 68 2016 On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 1348.35167Chae, Dongho; Wolf, Jörg 44 2016 On partial regularity for the 3D nonstationary Hall magnetohydrodynamics equations on the plane. Zbl 1336.35287Chae, Dongho; Wolf, Jörg 33 2016 Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations. Zbl 1465.76030Weng, Shangkun; Chae, Dongho 29 2016 Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314Chae, Dongho; Wan, Renhui; Wu, Jiahong 76 2015 On partial regularity for the steady Hall magnetohydrodynamics system. Zbl 1328.35165Chae, Dongho; Wolf, Jörg 22 2015 Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158Chae, Dongho; Constantin, Peter 13 2015 Euler’s equations and the maximum principle. Zbl 1308.35185Chae, Dongho 6 2015 Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248Chae, Dongho; Tsai, Tai-Peng 4 2015 Global regularity for a model Navier-Stokes equations on \(\mathbb{R}^3\). Zbl 1322.35062Chae, Dongho 3 2015 Unique continuation type theorem for the self-similar Euler equations. Zbl 1321.35145Chae, Dongho 2 2015 Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064Chae, Dongho; Degond, Pierre; Liu, Jian-Guo 142 2014 On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics. Zbl 1295.35122Chae, Dongho; Lee, Jihoon 128 2014 Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations. Zbl 1285.35069Chae, Dongho 55 2014 An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213Chae, Dongho; Constantin, Peter; Wu, Jiahong 16 2014 On the transport equations with singular/regular nonlocal velocities. Zbl 1321.35155Chae, Dongho 6 2014 On discretely self-similar solutions of the Euler equations. Zbl 1304.35514Chae, Dongho; Tsai, Tai-Peng 2 2014 Localized energy equalities for the Navier-Stokes and the Euler equations. Zbl 1293.35198Chae, Dongho 1 2014 On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212Chae, Dongho; Schonbek, Maria 119 2013 On the Liouville theorem for the stationary Navier-Stokes equations in a critical space. Zbl 1306.35082Chae, Dongho; Yoneda, Tsuyoshi 29 2013 On formation of a locally self-similar collapse in the incompressible Euler equations. Zbl 1285.35070Chae, Dongho; Shvydkoy, Roman 17 2013 On the blow-up problem for the Euler equations and the Liouville type results in the fluid equations. Zbl 1263.76013Chae, Dongho 1 2013 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 87 2012 The 2D Boussinesq equations with logarithmically supercritical velocities. Zbl 1248.35156Chae, Dongho; Wu, Jiahong 39 2012 Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416Chae, Dongho; Constantin, Peter; Wu, Jiahong 22 2012 Blow-up, zero \(\alpha\) limit and the Liouville type theorem for the Euler-poincaré equations. Zbl 1251.35075Chae, Dongho; Liu, Jian-Guo 13 2012 Logarithmically regularized inviscid models in borderline Sobolev spaces. Zbl 1329.76027Chae, Dongho; Wu, Jiahong 10 2012 Remarks on the Liouville type results for the compressible Navier-Stokes equations in \(\mathbb R^N\). Zbl 1377.76028Chae, Dongho 10 2012 Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109Chae, Dongho; Constantin, Peter; Wu, Jiahong 7 2012 On the Liouville type theorems with weights for the Navier-Stokes equations and Euler equations. Zbl 1265.35245Chae, Dongho 3 2012 Conditions on the pressure for vanishing velocity in the incompressible fluid flows in \(\mathbb{R}^N\). Zbl 1260.35103Chae, Dongho 2 2012 Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010Chae, Dongho; Constantin, Peter; Wu, Jiahong 66 2011 On the self-similar solutions of the 3D Euler and the related equations. Zbl 1219.35183Chae, Dongho 8 2011 Liouville type theorems for the Euler and the Navier-Stokes equations. Zbl 1229.35166Chae, Dongho 6 2011 On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations. Zbl 1195.76146Chae, Dongho 14 2010 On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in \(\mathbb R^N\). Zbl 1423.35307Chae, Dongho 13 2010 On the generalized self-similar singularities for the Euler and the Navier-Stokes equations. Zbl 1189.35236Chae, Dongho 9 2010 On the Lagrangian dynamics of the axisymmetric 3D Euler equations. Zbl 1192.35136Chae, Dongho 5 2010 On the formation of shocks to the compressible Euler equations. Zbl 1183.35225Chae, Dongho; Ha, Seung-Yeal 12 2009 On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations. Zbl 1173.35094Chae, Dongho 5 2009 On the behaviors of solutions near possible blow-up time in the incompressible Euler and related equations. Zbl 1260.35134Chae, Dongho 4 2009 Nonexistence of self-similar singularities in the ideal magnetohydrodynamics. Zbl 1252.76090Chae, Dongho 3 2009 Notes on the asymptotically self-similar singularitiesin the Euler and the Navier-Stokes equations. Zbl 1179.35208Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon 3 2009 On the finite time blow-up of the Euler-Poisson equations in \(\mathbb R^{N}\). Zbl 1157.35086Chae, Donghao; Tadmor, Eitan 25 2008 Incompressible Euler equations: the blow-up problem and related results. Zbl 1186.35001Chae, Dongho 15 2008 Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity. Zbl 1163.35030Chae, Dongho 12 2008 On the blow-up problem for the axisymmetric 3D Euler equations. Zbl 1186.35155Chae, Dongho 7 2008 The geometric approaches to the possible singularities in the inviscid fluid flows. Zbl 1152.76015Chae, Dongho 7 2008 Nonexistence of self-similar singularities for the 3D incompressible Euler equations. Zbl 1157.35079Chae, Dongho 37 2007 On the regularity conditions for the Navier-Stokes and related equations. Zbl 1130.35100Chae, Dongho 26 2007 On the interior regularity of suitable weak solutions to the Navier-Stokes equations. Zbl 1130.35101Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon 23 2007 Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations. Zbl 1147.35068Chae, Dongho 21 2007 On the finite-time singularities of the 3D incompressible Euler equations. Zbl 1124.35048Chae, Dongho 8 2007 Existence of a semilinear elliptic system with exponential nonlinearities. Zbl 1194.35162Chae, Dongho 5 2007 On the Lagrangian dynamics for the 3D incompressible Euler equations. Zbl 1124.35062Chae, Dongho 2 2007 On the deformations of the incompressible Euler equations. Zbl 1157.35078Chae, Dongho 1 2007 Global regularity for the 2D Boussinesq equations with partial viscosity terms. Zbl 1100.35084Chae, Dongho 284 2006 On the regularity conditions for the dissipative quasi-geostrophic equations. Zbl 1141.76010Chae, Dongho 31 2006 On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. Zbl 1104.35024Chae, Dongho 16 2006 On the continuation principles for the Euler equations and the quasi-geostrophic equation. Zbl 1105.35067Chae, Dongho 11 2006 On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations. Zbl 1109.76012Chae, Dongho 9 2006 On the incompressible Euler equations and the blow-up problem. Zbl 1173.35587Chae, Dongho 1 2006 Finite time singularities in a 1D model of the quasi-geostrophic equation. Zbl 1128.76372Chae, Dongho; Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A. 50 2005 Remarks on the blowup criterion of the three-dimensional Euler equations. Zbl 1068.35098Chae, Dongho 13 2005 Existence of multistring solutions of the self-gravitating massive \(W\)-boson. Zbl 1086.35031Chae, Dongho 8 2005 Selfgravitating electroweak strings. Zbl 1159.81430Chae, Dongho; Tarantello, Gabriella 8 2005 Some existence results for solutions to \(\text{SU}(3)\) Toda system. Zbl 1135.58301Chae, Dongho; Ohtsuka, Hiroshi; Suzuki, Takashi 6 2005 Existence of the semilocal Chern-Simons vortices. Zbl 1067.81092Chae, Dongho 3 2005 On the elliptic system arising from a self-gravitating Born-Infeld abelian Higgs theory. Zbl 1181.35059Chae, Dongho 2 2005 On the system of conservation laws and its perturbation in the Besov spaces. Zbl 1103.35071Chae, Dongho 1 2005 Local existence and blowup criterion for the Euler equations in the Besov spaces. Zbl 1068.35097Chae, Dongho 48 2004 On the multi-string solutions of the self-dual static Einstein-Maxwell-Higgs system. Zbl 1070.83001Chae, Dongho 10 2004 On planar selfdual electroweak vortices. Zbl 1073.35079Chae, Dongho; Tarantello, Gabriella 9 2004 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,229 Authors 84 Chae, Dongho 44 Wu, Jiahong 33 Fan, Jishan 31 Yamazaki, Kazuo 27 Lin, Chang-Shou 25 Wolf, Jörg 23 Han, Jongmin 21 Gala, Sadek 21 Zhou, Yong 19 Constantin, Peter 19 Xu, Xiaojing 19 Zhang, Zujin 18 Cordoba, Diego 17 Jiu, Quansen 16 Choe, Kwangseok 16 Pan, Xinghong 16 Tarantello, Gabriella 15 Dong, Boqing 15 Hmidi, Taoufik 15 Ye, Zhuan 14 Wang, Yanqing 14 Wu, Fan 13 Huh, Hyungjin 13 Lee, Youngae 13 Ragusa, Maria Alessandra 12 Ferreira, Lucas Catão de Freitas 12 Li, Dong 12 Li, Zijin 12 Nakamura, Gen 12 Xue, Liutang 12 Yao, Zhengan 12 Yuen, Manwai 11 Cao, Chongsheng 11 Chen, Zhiyou 11 Kim, Namkwon 11 Kukavica, Igor 11 Liu, Qiao 11 Vicol, Vlad C. 11 Yu, Xinwei 11 Yuan, Baoquan 11 Zhang, Zhifei 11 Zhao, Kun 11 Zhao, Xiaopeng 11 Zhu, Mingxuan 10 Bae, Hantaek 10 Chern, Jann-Long 10 Dai, Mimi 10 Jeong, In-Jee 10 Lee, Jihoon 10 Wan, Renhui 10 Wang, Shu 9 Castro, Ángel 9 Dong, Hongjie 9 Hou, Thomas Yizhao 9 Miao, Changxing 9 Zhang, Ting 8 Elgindi, Tarek Mohamed 8 Gancedo, Francisco 8 Granero Belinchón, Rafael 8 Guo, Zhengguang 8 Han, Pigong 8 Han, Xiaosen 8 Kang, Kyungkeun 8 Kim, Jaemyoung 8 Kiselev, Alexander A. 8 Liu, Jitao 8 Musso, Monica 8 Tsai, Tai-Peng 8 Weng, Shangkun 8 Xiang, Zhaoyin 8 Xu, Fuyi 7 Ao, Weiwei 7 Bae, Hyeong-Ohk 7 Bartolucci, Daniele 7 Chen, Qionglei 7 Chen, Zhimin 7 Danchin, Raphaël 7 Gómez-Serrano, Javier 7 Hayat, Tasawar 7 Jia, Yan 7 Liu, Jianli 7 Liu, Pan 7 Pistoia, Angela 7 Qiu, Hua 7 Rodrigo, José Luis 7 Song, Kyungwoo 7 Wu, Gang 7 Wu, Xing 7 Zhang, Qi-Shuhuason 6 Abidi, Hammadi 6 Balachandran, Krishnan 6 Beirão da Veiga, Hugo 6 Bian, Dongfen 6 Bradshaw, Zachary 6 Carrillo de la Plata, José Antonio 6 Deng, Shengbing 6 Duan, Ning 6 Fang, Daoyuan 6 Keraani, Sahbi 6 Kozono, Hideo ...and 1,129 more Authors all top 5 Cited in 219 Serials 125 Journal of Differential Equations 84 Journal of Mathematical Analysis and Applications 81 Journal of Mathematical Fluid Mechanics 78 Journal of Mathematical Physics 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 61 Communications in Mathematical Physics 47 ZAMP. Zeitschrift für angewandte Mathematik und Physik 45 Archive for Rational Mechanics and Analysis 43 Applied Mathematics Letters 39 Journal of Functional Analysis 34 Nonlinear Analysis. Real World Applications 31 Discrete and Continuous Dynamical Systems 26 Advances in Mathematics 24 Communications in Partial Differential Equations 23 Mathematical Methods in the Applied Sciences 23 Proceedings of the American Mathematical Society 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Physica D 22 Journal of Nonlinear Science 22 Boundary Value Problems 21 Calculus of Variations and Partial Differential Equations 20 Applicable Analysis 19 Nonlinearity 18 Computers & Mathematics with Applications 16 Acta Applicandae Mathematicae 16 SIAM Journal on Mathematical Analysis 14 Mathematische Annalen 14 Communications on Pure and Applied Analysis 12 Journal of Evolution Equations 11 Discrete and Continuous Dynamical Systems. Series B 10 Applied Mathematics and Computation 10 Transactions of the American Mathematical Society 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Communications on Pure and Applied Mathematics 8 Monatshefte für Mathematik 8 Acta Mathematicae Applicatae Sinica. English Series 8 Annals of PDE 7 Revista Matemática Iberoamericana 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 NoDEA. Nonlinear Differential Equations and Applications 7 Abstract and Applied Analysis 7 Communications in Contemporary Mathematics 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Chinese Annals of Mathematics. Series B 6 The Journal of Geometric Analysis 6 Applications of Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Acta Mathematica Sinica. English Series 6 Journal of Hyperbolic Differential Equations 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Discrete and Continuous Dynamical Systems. Series S 6 AIMS Mathematics 5 Journal d’Analyse Mathématique 5 Journal of Statistical Physics 5 Letters in Mathematical Physics 5 Applied Mathematics and Optimization 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Annales Henri Poincaré 5 Evolution Equations and Control Theory 4 Journal of Fluid Mechanics 4 Archiv der Mathematik 4 Indiana University Mathematics Journal 4 Pacific Journal of Mathematics 4 Journal of Scientific Computing 4 Geometric and Functional Analysis. GAFA 4 Proceedings of the National Academy of Sciences of the United States of America 4 Physics of Fluids 4 Journal of Physics A: Mathematical and Theoretical 4 Analysis & PDE 4 Pure and Applied Analysis 3 Journal of Computational Physics 3 Journal of Geometry and Physics 3 Annales Polonici Mathematici 3 Inventiones Mathematicae 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Zeitschrift für Analysis und ihre Anwendungen 3 Bulletin of the Korean Mathematical Society 3 Japan Journal of Industrial and Applied Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 St. Petersburg Mathematical Journal 3 Journal of Inequalities and Applications 3 Annals of Mathematics. Second Series 3 Journal of Dynamical and Control Systems 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Advances in Nonlinear Analysis 3 Journal of Mathematics 3 Journal of Function Spaces 3 Nonlinear Analysis. 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Quatrième Série 2 Demonstratio Mathematica 2 Duke Mathematical Journal 2 Journal of the Korean Mathematical Society ...and 119 more Serials all top 5 Cited in 37 Fields 1,482 Partial differential equations (35-XX) 1,065 Fluid mechanics (76-XX) 120 Geophysics (86-XX) 99 Quantum theory (81-XX) 61 Global analysis, analysis on manifolds (58-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 49 Real functions (26-XX) 34 Statistical mechanics, structure of matter (82-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Probability theory and stochastic processes (60-XX) 26 Numerical analysis (65-XX) 21 Systems theory; control (93-XX) 20 Functional analysis (46-XX) 19 Optics, electromagnetic theory (78-XX) 18 Relativity and gravitational theory (83-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Differential geometry (53-XX) 15 Mechanics of particles and systems (70-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Astronomy and astrophysics (85-XX) 11 Functions of a complex variable (30-XX) 11 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 10 Mechanics of deformable solids (74-XX) 6 Integral equations (45-XX) 4 Integral transforms, operational calculus (44-XX) 3 Special functions (33-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Manifolds and cell complexes (57-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) Citations by Year