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Publications

  1. Kim, Hyunseok; Kwon, Hyunwoo Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domain. to appear in Trans. Amer. Math. Soc.
  2. Kim, Hyunseok; Tsai, Tai-Peng Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. SIAM J. Math. Anal. 52 (2020), no. 2, 1146–1191.
  3. Kang, Byungsoo; Kim, Hyunseok On Lp-resolvent estimates for second-order elliptic equations in divergence form. Potential Anal. 50 (2019), no. 1, 107–133.
  4. Kang, Byungsoo; Kim, Hyunseok W1,p-estimates for elliptic equations with lower order terms. Commun. Pure Appl. Anal. 16 (2017), no. 3, 799–821.
  5. Kim, Dugyu; Kim, Hyunseok Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles. Nonlinear Anal. 147 (2016), 145–168.
  6. Kim, Dugyu; Kim, Hyunseok; Park, Sungyong Very weak solutions of the stationary Stokes equations on exterior domains. Adv. Differential Equations 20 (2015), no. 11-12, 1119–1164.
  7. Kim, Hyunseok; Kim, Young-Heon On weak solutions of elliptic equations with singular drifts. SIAM J. Math. Anal. 47 (2015), no. 2, 1271–1290.
  8. Kim, Dugyu; Kim, Hyunseok Lq-estimates for the stationary Oseen equations on exterior domains. J. Differential Equations 257 (2014), no. 10, 3669–3699.
  9. Heck, Horst; Kim, Hyunseok; Kozono, Hideo Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle. Math. Ann. 356 (2013), no. 2, 653–681.
  10. Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes equations in exterior domains. J. Math. Anal. Appl. 395 (2012), no. 2, 486–495.
  11. Heck, Horst; Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes flows around a rotating body. Manuscripta Math. 138 (2012), no. 3-4, 315–345.
  12. Kim, Hyunseok The existence and uniqueness of very weak solutions of the stationary Boussinesq system. Nonlinear Anal. 75 (2012), no. 1, 317–330.
  13. Choe, Hi Jun; Kim, Hyunseok Dirichlet problem for the stationary Navier-Stokes system on Lipschitz domains. Comm. Partial Differential Equations 36 (2011), no. 11, 1919–1944.
  14. Kim, Hyunseok On very weak solutions of the stationary Navier-Stokes equations. Ann. Univ. Ferrara Sez. VII Sci. Mat. 55 (2009), no. 2, 279–287.
  15. Choe, Hi Jun; Kim, Hyunseok Homogenization of the non-stationary Stokes equations with periodic viscosity. J. Korean Math. Soc. 46 (2009), no. 5, 1041–1069.
  16. Heck, Horst; Kim, Hyunseok; Kozono, Hideo Stability of plane Couette flows with respect to small periodic perturbations. Nonlinear Anal. 71 (2009), no. 9, 3739–3758.
  17. Kim, Hyunseok Existence and regularity of very weak solutions of the stationary Navier-Stokes equations. Arch. Ration. Mech. Anal. 193 (2009), no. 1, 117–152. / Erratum: Arch. Ration. Mech. Anal. 196 (2010), no. 3, 1079–1080.
  18. Cho, Yonggeun; Kim, Hyunseok Existence result for heat-conducting viscous incompressible fluids with vacuum. J. Korean Math. Soc. 45 (2008), no. 3, 645–681.
  19. Cho, Yonggeun; Kim, Hyunseok Existence results for viscous polytropic fluids with vacuum. J. Differential Equations 228 (2006), no. 2, 377–411.
  20. Cho, Yonggeun; Kim, Hyunseok On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities. Manuscripta Math. 120 (2006), no. 1, 91–129.
  21. Kim, Hyunseok A blow-up criterion for the nonhomogeneous incompressible Navier-Stokes equations. SIAM J. Math. Anal. 37 (2006), no. 5, 1417–1434.
  22. Kim, Hyunseok; Kozono, Hideo A removable isolated singularity theorem for the stationary Navier-Stokes equations. J. Differential Equations 220 (2006), no. 1, 68–84.
  23. Kim, Hyunseok; Lee, Jihoon The incompressible limits of viscous polytropic fluids with zero thermal conductivity coefficient. Comm. Partial Differential Equations 30 (2005), no. 7-9, 1169–1189.
  24. Choe, Hi Jun; Kim, Hyunseok Global existence of the radially symmetric solutions of the Navier-Stokes equations for the isentropic compressible fluids. Math. Methods Appl. Sci. 28 (2005), no. 1, 1–28.
  25. Cho, Yonggeun; Kim, Hyunseok Unique solvability for the density-dependent Navier-Stokes equations. Nonlinear Anal. 59 (2004), no. 4, 465–489.
  26. Kim, Hyunseok; Kozono, Hideo Interior regularity criteria in weak spaces for the Navier-Stokes equations. Manuscripta Math. 115 (2004), no. 1, 85–100.
  27. Cho, Yonggeun; Choe, Hi Jun; Kim, Hyunseok Unique solvability of the initial boundary value problems for compressible viscous fluids. J. Math. Pures Appl. (9) 83 (2004), no. 2, 243–275.
  28. Choe, Hi Jun; Kim, Hyunseok Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Comm. Partial Differential Equations 28 (2003), no. 5-6, 1183–1201.
  29. Choe, Hi Jun; Kim, Hyunseok Strong solutions of the Navier-Stokes equations for isentropic compressible fluids. J. Differential Equations 190 (2003), no. 2, 504–523.
  30. Choe, Hi Jun; Kim, Hyunseok Isolated singularity for the stationary Navier-Stokes system. J. Math. Fluid Mech. 2 (2000), no. 2, 151–184.
  31. Kim, Hyunseok; Seo, Jin Keun Identification problems in linear elasticity. J. Math. Anal. Appl. 215 (1997), no. 2, 514–531.
  32. Kim, Hyunseok; Seo, Jin Keun Unique determination of a collection of a finite number of cracks from two boundary measurements. SIAM J. Math. Anal. 27 (1996), no. 5, 1336–1340.