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## Chae, Dongho

Compute Distance To:
 Author ID: chae.dongho Published as: Chae, Dongho; Chae, D.; Chae, Donghao Homepage: http://cau.ac.kr/~dchae/ External Links: MGP
 Documents Indexed: 155 Publications since 1991, including 2 Books Reviewing Activity: 1 Review
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#### Co-Authors

 70 single-authored 15 Wolf, Jörg 10 Imanuvilov, Oleg Yu. 10 Lee, Jihoon 9 Wu, Jiahong 7 Constantin, Peter 5 Dubovskii, Pavel B. 5 Kim, Namkwon 4 Nam, Hee-Seok 3 Kim, Sungki 2 Choe, Kwangseok 2 Cordoba, Diego 2 Han, Jongmin 2 Kang, Kyungkeun 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 Córdoba Barba, Antonio Juan 1 Degond, Pierre 1 Foiaş, Ciprian Ilie 1 Fontelos López, Marco Antonio 1 Gancedo, Francisco 1 Ha, Seung-Yeal 1 Huh, Hyungjin 1 Ohtsuka, Hiroshi 1 Okamoto, Hisashi 1 Schonbek, Maria Elena 1 Shvydkoy, Roman V. 1 Suzuki, Takashi 1 Tadmor, Eitan 1 Wan, Renhui 1 Yoneda, Tsuyoshi
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#### Serials

 15 Communications in Mathematical Physics 10 Journal of Differential Equations 9 Archive for Rational Mechanics and Analysis 8 Journal of Mathematical Analysis and Applications 8 Nonlinearity 7 Advances in Mathematics 6 Journal of Mathematical Physics 6 Communications in Partial Differential Equations 6 Journal of Mathematical Fluid Mechanics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal of Nonlinear Science 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Calculus of Variations and Partial Differential Equations 3 Communications on Pure and Applied Mathematics 3 Journal of Functional Analysis 3 SIAM Journal on Mathematical Analysis 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Asymptotic Analysis 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales Henri Poincaré 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 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 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
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#### Fields

 149 Partial differential equations (35-XX) 101 Fluid mechanics (76-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Quantum theory (81-XX) 6 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) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-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)

#### Citations contained in zbMATH Open

124 Publications have been cited 2,134 times in 1,226 Documents Cited by Year
Global regularity for the 2D Boussinesq equations with partial viscosity terms. Zbl 1100.35084
Chae, Dongho
2006
The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory. Zbl 1002.58015
Chae, Dongho; Imanuvilov, Oleg Yu.
2000
Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064
Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
2014
On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics. Zbl 1295.35122
Chae, Dongho; Lee, Jihoon
2014
On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212
Chae, Dongho; Schonbek, Maria
2013
Local existence and blow-up criterion for the Boussinesq equations. Zbl 0882.35096
Chae, Dongho; Nam, Hee-Seok
1997
Global well-posedness in the super-critical dissipative quasi-geostrophic equations. Zbl 1019.86002
Chae, Dongho; Lee, Jihoon
2003
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
On the regularity of the axisymmetric solutions of the Navier-Stokes equations. Zbl 0992.35068
Chae, Dongho; Lee, Jihoon
2002
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2011
Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations. Zbl 0939.35150
Chae, Dongho; Kim, Sung-Ki; Nam, Hee-Seok
1999
Regularity criterion in terms of pressure for the Navier-Stokes equations. Zbl 1007.35064
Chae, Dongho; Lee, Jihoon
2001
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314
Chae, Dongho; Wan, Renhui; Wu, Jiahong
2015
Finite time singularities in a 1D model of the quasi-geostrophic equation. Zbl 1128.76372
Chae, Dongho; Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2005
Local existence and blowup criterion for the Euler equations in the Besov spaces. Zbl 1068.35097
Chae, Dongho
2004
Singularity formation for the incompressible Hall-MHD equations without resistivity. Zbl 1347.35199
Chae, Dongho; Weng, Shangkun
2016
On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. Zbl 1025.35016
Chae, Dongho
2002
The quasi-geostrophic equation in the Triebel-Lizorkin spaces. Zbl 1029.35006
Chae, Dongho
2003
The 2D Boussinesq equations with logarithmically supercritical velocities. Zbl 1248.35156
Chae, Dongho; Wu, Jiahong
2012
On the regularity conditions for the dissipative quasi-geostrophic equations. Zbl 1141.76010
Chae, Dongho
2006
Nonexistence of self-similar singularities for the 3D incompressible Euler equations. Zbl 1157.35079
Chae, Dongho
2007
Exact controllability for semilinear parabolic equations with Neumann boundary conditions. Zbl 0946.93007
Chae, Dongho; Imanuvilov, O. Yu.; Kim, Sang Moon
1996
Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations. Zbl 1285.35069
Chae, Dongho
2014
Regularity of solutions to the Navier-Stokes equation. Zbl 0923.35117
Chae, Dongho; Choe, Hi-Jun
1999
Generic solvability of the axisymmetric 3-D Euler equations and the 2-D Boussinesq equations. Zbl 0939.35149
Chae, Dongho; Imanuvilov, Oleg Yu.
1999
On Liouville type theorems for the steady Navier-Stokes equations in $$\mathbb{R}^3$$. Zbl 1348.35167
Chae, Dongho; Wolf, Jörg
2016
Topological multivortex solutions of the self-dual Maxwell-Chern-Simons-Higgs system. Zbl 0869.35094
Chae, Dongho; Kim, Namkwon
1997
On the regularity conditions for the Navier-Stokes and related equations. Zbl 1130.35100
Chae, Dongho
2007
On the finite time blow-up of the Euler-Poisson equations in $$\mathbb R^{N}$$. Zbl 1157.35086
2008
On the interior regularity of suitable weak solutions to the Navier-Stokes equations. Zbl 1130.35101
Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon
2007
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
On the Liouville theorem for the stationary Navier-Stokes equations in a critical space. Zbl 1306.35082
Chae, Dongho; Yoneda, Tsuyoshi
2013
On partial regularity for the 3D nonstationary Hall magnetohydrodynamics equations on the plane. Zbl 1336.35287
Chae, Dongho; Wolf, Jörg
2016
Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations. Zbl 1147.35068
Chae, Dongho
2007
Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory. Zbl 1073.58014
Chae, Dongho; Choe, Kwangseok
2002
Global existence for small initial data in the Born-Infeld equations. Zbl 1063.81042
Chae, Dongho; Huh, Hyungjin
2003
Non-topological multivortex solutions to the self-dual Maxwell-Chern-Simons-Higgs systems. Zbl 1079.58009
Chae, Dongho; Imanuvilov, Oleg Yu.
2002
On the Euler equations in the critical Triebel-Lizorkin spaces. Zbl 1093.76005
Chae, Dongho
2003
On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations. Zbl 1195.76146
Chae, Dongho
2010
On partial regularity for the steady Hall magnetohydrodynamics system. Zbl 1328.35165
Chae, Dongho; Wolf, Jörg
2015
Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity. Zbl 1163.35030
Chae, Dongho
2008
Weak solutions of 2-D Euler equations with initial vorticity in $$L(\log L$$). Zbl 0854.35082
Chae, Dongho
1993
On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations. Zbl 1367.35104
Chae, Dongho; Wolf, Jörg
2017
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2014
Incompressible Euler equations: the blow-up problem and related results. Zbl 1186.35001
Chae, Dongho
2008
Multiple existence of the multivortex solutions of the self-dual Chern-Simons $$\mathbb{C} P(1)$$ model on a doubly periodic domain. Zbl 1015.81037
Chae, Dongho; Nam, Hee-Seok
1999
The global existence in the Cauchy problem of the Maxwell-Chern-Simons-Higgs system. Zbl 1060.81048
Chae, Dongho; Chae, Myeongju
2002
On formation of a locally self-similar collapse in the incompressible Euler equations. Zbl 1285.35070
Chae, Dongho; Shvydkoy, Roman
2013
On the continuation principles for the Euler equations and the quasi-geostrophic equation. Zbl 1105.35067
Chae, Dongho
2006
On the formation of shocks to the compressible Euler equations. Zbl 1183.35225
Chae, Dongho; Ha, Seung-Yeal
2009
Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry. Zbl 1025.83007
Chae, Dongho
2003
Local existence and blow-up criterion of the inhomogeneous Euler equations. Zbl 1048.35074
Chae, Dongho; Lee, Jihoon
2003
Remarks on the blowup criterion of the three-dimensional Euler equations. Zbl 1068.35098
Chae, Dongho
2005
On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. Zbl 1104.35024
Chae, Dongho
2006
On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in $$\mathbb R^N$$. Zbl 1423.35307
Chae, Dongho
2010
On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations. Zbl 0858.76068
Chae, Dongho; Kim, Namkwon
1996
Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in $$L_{\mathrm{loc}}^2(\mathbb{R}^3)$$. Zbl 1391.76057
Chae, Dongho; Wolf, Jörg
2018
On the condensate multivortex solutions of the self-dual Maxwell-Chern-Simons $$\mathbb{CP}(1)$$ model. Zbl 1093.58503
Chae, D.; Nam, H.-S.
2001
Blow-up, zero $$\alpha$$ limit and the Liouville type theorem for the Euler-poincaré equations. Zbl 1251.35075
Chae, Dongho; Liu, Jian-Guo
2012
On the self-similar solutions of the 3D Euler and the related equations. Zbl 1219.35183
Chae, Dongho
2011
On planar selfdual electroweak vortices. Zbl 1073.35079
Chae, Dongho; Tarantello, Gabriella
2004
Remarks on the blow-up of the Euler equations and the related equations. Zbl 1145.35443
Chae, Dongho
2004
The geometric approaches to the possible singularities in the inviscid fluid flows. Zbl 1152.76015
Chae, Dongho
2008
On the generalized self-similar singularities for the Euler and the Navier-Stokes equations. Zbl 1189.35236
Chae, Dongho
2010
On the multi-string solutions of the self-dual static Einstein-Maxwell-Higgs system. Zbl 1070.83001
Chae, Dongho
2004
Selfgravitating electroweak strings. Zbl 1159.81430
Chae, Dongho; Tarantello, Gabriella
2005
Existence of multistring solutions of the self-gravitating massive $$W$$-boson. Zbl 1086.35031
Chae, Dongho
2005
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
2015
Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows. Zbl 0911.76081
Chae, Dongho; Kim, Namkwon
1997
On the finite-time singularities of the 3D incompressible Euler equations. Zbl 1124.35048
Chae, Dongho
2007
Logarithmically regularized inviscid models in borderline Sobolev spaces. Zbl 1329.76027
Chae, Dongho; Wu, Jiahong
2012
Removing discretely self-similar singularities for the 3D Navier-Stokes equations. Zbl 1386.76023
Chae, Dongho; Wolf, Jörg
2017
Some existence results for solutions to $$\text{SU}(3)$$ Toda system. Zbl 1135.58301
Chae, Dongho; Ohtsuka, Hiroshi; Suzuki, Takashi
2005
Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data. Zbl 0903.35050
Chae, Dongho; Imanuvilov, Oleg Yu.
1998
On the blow-up problem for the axisymmetric 3D Euler equations. Zbl 1186.35155
Chae, Dongho
2008
Existence of a semilinear elliptic system with exponential nonlinearities. Zbl 1194.35162
Chae, Dongho
2007
On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations. Zbl 1109.76012
Chae, Dongho
2006
On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations. Zbl 1173.35094
Chae, Dongho
2009
On the uniqueness of the unbounded classical solutions of the Navier- Stokes and associated equations. Zbl 0810.35079
Kim, Namkwon; Chae, Dongho
1994
Remarks on the helicity of the 3-D incompressible Euler equations. Zbl 1078.76013
Chae, Dongho
2003
On Liouville type theorem for the stationary Navier-Stokes equations. Zbl 1433.35218
Chae, Dongho; Wolf, Jörg
2019
The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. II: The general case. Zbl 0732.35070
Chae, Dongho
1991
On the geometric regularity conditions for the 3D Navier-Stokes equations. Zbl 1358.35089
Chae, Dongho; Lee, Jihoon
2017
On the global well-posedness and stability of the Navier-Stokes and the related equations. Zbl 1083.35086
Chae, Dongho; Lee, Jihoon
2004
Liouville type theorems for the Euler and the Navier-Stokes equations. Zbl 1229.35166
Chae, Dongho
2011
Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
On the behaviors of solutions near possible blow-up time in the incompressible Euler and related equations. Zbl 1260.35134
Chae, Dongho
2009
On the transport equations with singular/regular nonlocal velocities. Zbl 1321.35155
Chae, Dongho
2014
On the well-posedness of various one-dimensional model equations for fluid motion. Zbl 1457.76071
Bae, Hantaek; Chae, Dongho; Okamoto, Hisashi
2017
On the ensemble average in the study of approximate inertial manifolds. II. Zbl 0799.35176
Chae, Dongho
1992
Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system. Zbl 0998.83009
Chae, Dongho
2001
Functional and measure-valued solutions of the Euler equations for flows of incompressible fluids. Zbl 0834.76012
Chae, Dongho; Dubovskiĭ, Pavel
1995
On the Liouville type theorems with weights for the Navier-Stokes equations and Euler equations. Zbl 1265.35245
Chae, Dongho
2012
On the Lagrangian dynamics of the axisymmetric 3D Euler equations. Zbl 1192.35136
Chae, Dongho
2010
Notes on the asymptotically self-similar singularitiesin the Euler and the Navier-Stokes equations. Zbl 1179.35208
Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon
2009
Weak solutions of 2-D incompressible Euler equations. Zbl 0814.76022
Chae, Dongho
1994
Remarks on the Liouville type results for the compressible Navier-Stokes equations in $$\mathbb R^N$$. Zbl 1377.76028
Chae, Dongho
2012
Note on the Liouville type problem for the stationary Navier-Stokes equations in $$\mathbb{R}^3$$. Zbl 1427.35174
Chae, Dongho
2020
The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. I: 2-D periodic case. Zbl 0732.35069
Chae, Dongho
1991
Regularity of the $$3D$$ stationary Hall magnetohydrodynamic equations on the plane. Zbl 1371.35217
Chae, Dongho; Wolf, Jörg
2017
Note on the Liouville type problem for the stationary Navier-Stokes equations in $$\mathbb{R}^3$$. Zbl 1427.35174
Chae, Dongho
2020
On Liouville type theorem for the stationary Navier-Stokes equations. Zbl 1433.35218
Chae, Dongho; Wolf, Jörg
2019
On the regularity of solutions to the 2D Boussinesq equations satisfying type I conditions. Zbl 1421.35268
Chae, Dongho; Wolf, Jörg
2019
Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in $$L_{\mathrm{loc}}^2(\mathbb{R}^3)$$. Zbl 1391.76057
Chae, Dongho; Wolf, Jörg
2018
On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations. Zbl 1367.35104
Chae, Dongho; Wolf, Jörg
2017
Removing discretely self-similar singularities for the 3D Navier-Stokes equations. Zbl 1386.76023
Chae, Dongho; Wolf, Jörg
2017
On the geometric regularity conditions for the 3D Navier-Stokes equations. Zbl 1358.35089
Chae, Dongho; Lee, Jihoon
2017
On the well-posedness of various one-dimensional model equations for fluid motion. Zbl 1457.76071
Bae, Hantaek; Chae, Dongho; Okamoto, Hisashi
2017
Regularity of the $$3D$$ stationary Hall magnetohydrodynamic equations on the plane. Zbl 1371.35217
Chae, Dongho; Wolf, Jörg
2017
Singularity formation for the incompressible Hall-MHD equations without resistivity. Zbl 1347.35199
Chae, Dongho; Weng, Shangkun
2016
On Liouville type theorems for the steady Navier-Stokes equations in $$\mathbb{R}^3$$. Zbl 1348.35167
Chae, Dongho; Wolf, Jörg
2016
On partial regularity for the 3D nonstationary Hall magnetohydrodynamics equations on the plane. Zbl 1336.35287
Chae, Dongho; Wolf, Jörg
2016
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314
Chae, Dongho; Wan, Renhui; Wu, Jiahong
2015
On partial regularity for the steady Hall magnetohydrodynamics system. Zbl 1328.35165
Chae, Dongho; Wolf, Jörg
2015
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
2015
Global regularity for a model Navier-Stokes equations on $$\mathbb{R}^3$$. Zbl 1322.35062
Chae, Dongho
2015
Euler’s equations and the maximum principle. Zbl 1308.35185
Chae, Dongho
2015
Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248
Chae, Dongho; Tsai, Tai-Peng
2015
Unique continuation type theorem for the self-similar Euler equations. Zbl 1321.35145
Chae, Dongho
2015
Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064
Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
2014
On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics. Zbl 1295.35122
Chae, Dongho; Lee, Jihoon
2014
Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations. Zbl 1285.35069
Chae, Dongho
2014
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2014
On the transport equations with singular/regular nonlocal velocities. Zbl 1321.35155
Chae, Dongho
2014
Localized energy equalities for the Navier-Stokes and the Euler equations. Zbl 1293.35198
Chae, Dongho
2014
On discretely self-similar solutions of the Euler equations. Zbl 1304.35514
Chae, Dongho; Tsai, Tai-Peng
2014
On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212
Chae, Dongho; Schonbek, Maria
2013
On the Liouville theorem for the stationary Navier-Stokes equations in a critical space. Zbl 1306.35082
Chae, Dongho; Yoneda, Tsuyoshi
2013
On formation of a locally self-similar collapse in the incompressible Euler equations. Zbl 1285.35070
Chae, Dongho; Shvydkoy, Roman
2013
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
The 2D Boussinesq equations with logarithmically supercritical velocities. Zbl 1248.35156
Chae, Dongho; Wu, Jiahong
2012
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
Blow-up, zero $$\alpha$$ limit and the Liouville type theorem for the Euler-poincaré equations. Zbl 1251.35075
Chae, Dongho; Liu, Jian-Guo
2012
Logarithmically regularized inviscid models in borderline Sobolev spaces. Zbl 1329.76027
Chae, Dongho; Wu, Jiahong
2012
Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
On the Liouville type theorems with weights for the Navier-Stokes equations and Euler equations. Zbl 1265.35245
Chae, Dongho
2012
Remarks on the Liouville type results for the compressible Navier-Stokes equations in $$\mathbb R^N$$. Zbl 1377.76028
Chae, Dongho
2012
Conditions on the pressure for vanishing velocity in the incompressible fluid flows in $$\mathbb{R}^N$$. Zbl 1260.35103
Chae, Dongho
2012
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2011
On the self-similar solutions of the 3D Euler and the related equations. Zbl 1219.35183
Chae, Dongho
2011
Liouville type theorems for the Euler and the Navier-Stokes equations. Zbl 1229.35166
Chae, Dongho
2011
On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations. Zbl 1195.76146
Chae, Dongho
2010
On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in $$\mathbb R^N$$. Zbl 1423.35307
Chae, Dongho
2010
On the generalized self-similar singularities for the Euler and the Navier-Stokes equations. Zbl 1189.35236
Chae, Dongho
2010
On the Lagrangian dynamics of the axisymmetric 3D Euler equations. Zbl 1192.35136
Chae, Dongho
2010
On the formation of shocks to the compressible Euler equations. Zbl 1183.35225
Chae, Dongho; Ha, Seung-Yeal
2009
On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations. Zbl 1173.35094
Chae, Dongho
2009
On the behaviors of solutions near possible blow-up time in the incompressible Euler and related equations. Zbl 1260.35134
Chae, Dongho
2009
Notes on the asymptotically self-similar singularitiesin the Euler and the Navier-Stokes equations. Zbl 1179.35208
Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon
2009
Nonexistence of self-similar singularities in the ideal magnetohydrodynamics. Zbl 1252.76090
Chae, Dongho
2009
On the finite time blow-up of the Euler-Poisson equations in $$\mathbb R^{N}$$. Zbl 1157.35086
2008
Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity. Zbl 1163.35030
Chae, Dongho
2008
Incompressible Euler equations: the blow-up problem and related results. Zbl 1186.35001
Chae, Dongho
2008
The geometric approaches to the possible singularities in the inviscid fluid flows. Zbl 1152.76015
Chae, Dongho
2008
On the blow-up problem for the axisymmetric 3D Euler equations. Zbl 1186.35155
Chae, Dongho
2008
Nonexistence of self-similar singularities for the 3D incompressible Euler equations. Zbl 1157.35079
Chae, Dongho
2007
On the regularity conditions for the Navier-Stokes and related equations. Zbl 1130.35100
Chae, Dongho
2007
On the interior regularity of suitable weak solutions to the Navier-Stokes equations. Zbl 1130.35101
Chae, Dongho; Kang, Kyungkeun; Lee, Jihoon
2007
Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations. Zbl 1147.35068
Chae, Dongho
2007
On the finite-time singularities of the 3D incompressible Euler equations. Zbl 1124.35048
Chae, Dongho
2007
Existence of a semilinear elliptic system with exponential nonlinearities. Zbl 1194.35162
Chae, Dongho
2007
On the Lagrangian dynamics for the 3D incompressible Euler equations. Zbl 1124.35062
Chae, Dongho
2007
On the deformations of the incompressible Euler equations. Zbl 1157.35078
Chae, Dongho
2007
Global regularity for the 2D Boussinesq equations with partial viscosity terms. Zbl 1100.35084
Chae, Dongho
2006
On the regularity conditions for the dissipative quasi-geostrophic equations. Zbl 1141.76010
Chae, Dongho
2006
On the continuation principles for the Euler equations and the quasi-geostrophic equation. Zbl 1105.35067
Chae, Dongho
2006
On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. Zbl 1104.35024
Chae, Dongho
2006
On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations. Zbl 1109.76012
Chae, Dongho
2006
On the incompressible Euler equations and the blow-up problem. Zbl 1173.35587
Chae, Dongho
2006
Finite time singularities in a 1D model of the quasi-geostrophic equation. Zbl 1128.76372
Chae, Dongho; Córdoba, Antonio; Córdoba, Diego; Fontelos, Marco A.
2005
Remarks on the blowup criterion of the three-dimensional Euler equations. Zbl 1068.35098
Chae, Dongho
2005
Selfgravitating electroweak strings. Zbl 1159.81430
Chae, Dongho; Tarantello, Gabriella
2005
Existence of multistring solutions of the self-gravitating massive $$W$$-boson. Zbl 1086.35031
Chae, Dongho
2005
Some existence results for solutions to $$\text{SU}(3)$$ Toda system. Zbl 1135.58301
Chae, Dongho; Ohtsuka, Hiroshi; Suzuki, Takashi
2005
Existence of the semilocal Chern-Simons vortices. Zbl 1067.81092
Chae, Dongho
2005
On the elliptic system arising from a self-gravitating Born-Infeld abelian Higgs theory. Zbl 1181.35059
Chae, Dongho
2005
On the system of conservation laws and its perturbation in the Besov spaces. Zbl 1103.35071
Chae, Dongho
2005
Local existence and blowup criterion for the Euler equations in the Besov spaces. Zbl 1068.35097
Chae, Dongho
2004
On planar selfdual electroweak vortices. Zbl 1073.35079
Chae, Dongho; Tarantello, Gabriella
2004
Remarks on the blow-up of the Euler equations and the related equations. Zbl 1145.35443
Chae, Dongho
2004
On the multi-string solutions of the self-dual static Einstein-Maxwell-Higgs system. Zbl 1070.83001
Chae, Dongho
2004
On the global well-posedness and stability of the Navier-Stokes and the related equations. Zbl 1083.35086
Chae, Dongho; Lee, Jihoon
2004
Global well-posedness in the super-critical dissipative quasi-geostrophic equations. Zbl 1019.86002
Chae, Dongho; Lee, Jihoon
2003
The quasi-geostrophic equation in the Triebel-Lizorkin spaces. Zbl 1029.35006
Chae, Dongho
2003
Global existence for small initial data in the Born-Infeld equations. Zbl 1063.81042
Chae, Dongho; Huh, Hyungjin
2003
On the Euler equations in the critical Triebel-Lizorkin spaces. Zbl 1093.76005
Chae, Dongho
2003
Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry. Zbl 1025.83007
Chae, Dongho
2003
Local existence and blow-up criterion of the inhomogeneous Euler equations. Zbl 1048.35074
Chae, Dongho; Lee, Jihoon
2003
Remarks on the helicity of the 3-D incompressible Euler equations. Zbl 1078.76013
Chae, Dongho
2003
Non-topological solutions in the generalized self-dual Chern-Simons-Higgs theory. Zbl 1080.35021
Chae, Dongho; Imanuvilov, Oleg Y.
2003
Existence of the self-gravitating Chern-Simons vortices. Zbl 1063.58016
Chae, Dongho; Choe, Kwangseok
2003
On the regularity of the axisymmetric solutions of the Navier-Stokes equations. Zbl 0992.35068
Chae, Dongho; Lee, Jihoon
2002
On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. Zbl 1025.35016
Chae, Dongho
2002
Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory. Zbl 1073.58014
Chae, Dongho; Choe, Kwangseok
2002
Non-topological multivortex solutions to the self-dual Maxwell-Chern-Simons-Higgs systems. Zbl 1079.58009
Chae, Dongho; Imanuvilov, Oleg Yu.
2002
The global existence in the Cauchy problem of the Maxwell-Chern-Simons-Higgs system. Zbl 1060.81048
Chae, Dongho; Chae, Myeongju
2002
Regularity criterion in terms of pressure for the Navier-Stokes equations. Zbl 1007.35064
Chae, Dongho; Lee, Jihoon
2001
On the condensate multivortex solutions of the self-dual Maxwell-Chern-Simons $$\mathbb{CP}(1)$$ model. Zbl 1093.58503
Chae, D.; Nam, H.-S.
2001
Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system. Zbl 0998.83009
Chae, Dongho
2001
The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory. Zbl 1002.58015
Chae, Dongho; Imanuvilov, Oleg Yu.
2000
...and 24 more Documents
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#### Cited by 957 Authors

 68 Chae, Dongho 40 Wu, Jiahong 32 Fan, Jishan 27 Lin, Chang-Shou 27 Zhou, Yong 26 Yamazaki, Kazuo 20 Han, Jongmin 18 Constantin, Peter 18 Cordoba, Diego 17 Wolf, Jörg 16 Choe, Kwangseok 16 Xu, Xiaojing 15 Tarantello, Gabriella 15 Zhang, Zujin 14 Dong, Boqing 14 Jiu, Quansen 14 Ye, Zhuan 12 Gala, Sadek 12 Hmidi, Taoufik 12 Li, Dong 12 Nakamura, Gen 12 Yao, Zhengan 11 Ferreira, Lucas Catão de Freitas 11 Huh, Hyungjin 11 Kim, Namkwon 11 Vicol, Vlad C. 11 Yu, Xinwei 11 Yuen, Manwai 11 Zhu, Mingxuan 10 Cao, Chongsheng 10 Chen, Zhiyou 10 Chern, Jann-Long 10 Wan, Renhui 10 Xue, Liutang 10 Yuan, Baoquan 10 Zhang, Zhifei 9 Castro, Ángel 9 Dong, Hongjie 9 Hou, Thomas Yizhao 9 Lee, Jihoon 9 Lee, Youngae 9 Miao, Changxing 9 Pan, Xinghong 9 Zhang, Ting 9 Zhao, Xiaopeng 8 Granero Belinchón, Rafael 8 Han, Xiaosen 8 Liu, Qiao 8 Seregin, Gregory A. 8 Wang, Shu 8 Xiang, Zhaoyin 8 Zhao, Kun 7 Bae, Hantaek 7 Bae, Hyeong-Ohk 7 Bartolucci, Daniele 7 Chen, Zhimin 7 Gancedo, Francisco 7 Gómez-Serrano, Javier 7 Hayat, Tasawar 7 Jia, Yan 7 Kukavica, Igor 7 Liu, Jitao 7 Musso, Monica 7 Pistoia, Angela 7 Qiu, Hua 7 Ragusa, Maria Alessandra 7 Rodrigo, José Luis 7 Weng, Shangkun 7 Wu, Gang 6 Balachandran, Krishnan 6 Carrillo de la Plata, José Antonio 6 Chen, Qionglei 6 Deng, Shengbing 6 Fang, Daoyuan 6 Kang, Kyungkeun 6 Keraani, Sahbi 6 Kim, Jaemyoung 6 Lazar, Omar 6 Ma, Caochuan 6 Qin, Yuming 6 Sakthivel, Kumarasamy 6 Shvydkoy, Roman V. 6 Titi, Edriss Saleh 6 Tsai, Tai-Peng 6 Wang, Yanqing 6 Wu, Xing 6 Xu, Fuyi 6 Yu, Yanghai 6 Yuan, Jianjun 6 Zhou, Daoguo 5 Abidi, Hammadi 5 Beirão da Veiga, Hugo 5 Bian, Dongfen 5 Córdoba Barba, Antonio Juan 5 Dai, Mimi 5 Danchin, Raphaël 5 Du, Yi 5 Elgindi, Tarek Mohamed 5 Esposito, Pierpaolo 5 Grujić, Zoran ...and 857 more Authors
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#### Cited in 188 Serials

 94 Journal of Differential Equations 72 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 71 Journal of Mathematical Analysis and Applications 61 Journal of Mathematical Physics 59 Communications in Mathematical Physics 54 Journal of Mathematical Fluid Mechanics 39 Archive for Rational Mechanics and Analysis 35 ZAMP. Zeitschrift für angewandte Mathematik und Physik 32 Journal of Functional Analysis 30 Applied Mathematics Letters 28 Discrete and Continuous Dynamical Systems 24 Communications in Partial Differential Equations 23 Advances in Mathematics 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Mathematical Methods in the Applied Sciences 22 Proceedings of the American Mathematical Society 19 Nonlinear Analysis. Real World Applications 18 Computers & Mathematics with Applications 18 Physica D 17 Journal of Nonlinear Science 17 Calculus of Variations and Partial Differential Equations 16 Applicable Analysis 14 Nonlinearity 14 Boundary Value Problems 10 Applied Mathematics and Computation 10 Acta Applicandae Mathematicae 9 Communications on Pure and Applied Analysis 8 Mathematische Annalen 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Mathematical Analysis 7 Abstract and Applied Analysis 7 Journal of Evolution Equations 7 Discrete and Continuous Dynamical Systems. Series B 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Annals of PDE 6 Communications on Pure and Applied Mathematics 6 Monatshefte für Mathematik 6 Transactions of the American Mathematical Society 6 Chinese Annals of Mathematics. Series B 6 Revista Matemática Iberoamericana 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Acta Mathematica Sinica. English Series 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Letters in Mathematical Physics 5 Applications of Mathematics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Journal of Hyperbolic Differential Equations 4 Journal d’Analyse Mathématique 4 Journal of Fluid Mechanics 4 Journal of Statistical Physics 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Communications in Contemporary Mathematics 4 Annales Henri Poincaré 4 Discrete and Continuous Dynamical Systems. Series S 3 Annales Polonici Mathematici 3 Inventiones Mathematicae 3 Zeitschrift für Analysis und ihre Anwendungen 3 Bulletin of the Korean Mathematical Society 3 Japan Journal of Industrial and Applied Mathematics 3 The Journal of Geometric Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 St. Petersburg Mathematical Journal 3 Analysis & PDE 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Computational Physics 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Kybernetika 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Annals of Mathematics. Second Series 2 Journal of Dynamical and Control Systems 2 Living Reviews in Relativity 2 Journal of Applied Mathematics 2 Advanced Nonlinear Studies 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Milan Journal of Mathematics 2 Multiscale Modeling & Simulation ...and 88 more Serials
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#### Cited in 34 Fields

 1,145 Partial differential equations (35-XX) 777 Fluid mechanics (76-XX) 85 Geophysics (86-XX) 80 Quantum theory (81-XX) 56 Global analysis, analysis on manifolds (58-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 32 Dynamical systems and ergodic theory (37-XX) 31 Statistical mechanics, structure of matter (82-XX) 27 Real functions (26-XX) 24 Numerical analysis (65-XX) 19 Probability theory and stochastic processes (60-XX) 17 Mechanics of particles and systems (70-XX) 16 Optics, electromagnetic theory (78-XX) 15 Relativity and gravitational theory (83-XX) 15 Systems theory; control (93-XX) 14 Functional analysis (46-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Astronomy and astrophysics (85-XX) 8 Biology and other natural sciences (92-XX) 7 Functions of a complex variable (30-XX) 6 Mechanics of deformable solids (74-XX) 5 Integral equations (45-XX) 4 Integral transforms, operational calculus (44-XX) 3 Nonassociative rings and algebras (17-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX)