Browsing by Author "Chae, Dongho"
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Item The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory(1999-06) Chae, Dongho; Yu, OlegItem Non-topological multivortex solutions to the self-dual Maxwell-Chern-Simons-Higgs systems(2001-04) Chae, Dongho; Imanuvilov, Oleg Yu.In this paper we construct non-topological multivortex solutions to the non-relativistic self-dual Maxwell-Chern-Simons-Higgs system in $\Bbb R^2$ which make the energy functional finite. Moreover, our proof of the existence of solutions reveals precise asymptotic behavior of solutions near spatial infinity. Using exactly the same method, we also establish the existence of non-topological multivortex solutions to the relativistic self-dualMaxwell-Chern-Simons-Higgs system.Item Regularity criterion in terms of pressure for the Navier-Stokes equations(1999-04) Chae, Dongho; Lee, Jihoon