Yong Jung Kim's Research papers


Ph. D. Thesis Scaling invariance and hyperbolic conservations laws, University of Wisconsin, 1999. (Thesis advisor : A.E. Tzavaras)

[1] Yong-Jung Kim, A self-similar viscosity approach for the Riemann problem in isentropic gas dynamics and the structure of the solutions. Quart. Appl. Math., 59 (2001), no.4, 637--665. (preprint)

[2] Shi Jin and Yong-Jung Kim, On the computation of roll waves. M2AN Math. Model. Num. Anal., 35 (2001), no.3, 463--480. (m2an web publication ) (preprint)

[3] Yong-Jung Kim and A.E. Tzavaras, Diffusive N-waves and metastability in Burgers equation. SIAM J. Math. Anal. 33 (2001), no.3, 607--633. (siam web publication) (preprint)

[4] Yong-Jung Kim, Piecewise self-similar solutions and a numerical scheme for scalar conservation laws. SIAM J. Numer. Anal. 40 (2002), no. 6, 2105--2132. (siam web publication ) (preprint)

[5] Yong-Jung Kim and Wei-Ming Ni, On the rate of convergence and asymptotic profile of solutions to the viscous Burgers equation. Indiana Univ. Math. J. 51 (2002), no.3, 727--752. (indiana web publication) (preprint)

[6] Yong-Jung Kim, Asymptotic behavior of solutions to scalar conservation laws and optimal convergence orders to N-waves. J. Differential Equations 192 (2003), no. 1, 202--224. (jde web publication, pdf file24 pp) (preprint)

[7] Y.-J. Kim, O. Kwon, J.-K. Seo and E. Woo Uniqueness and convergence of conductivity image reconstruction in magnetic resonance electrical impedance tomography Inverse Problems 19 (2003), no. 5, 1213--1225. (IoP web publication) (preprint)

[8] Yong-Jung Kim, An Oleinik type estimate for a convection-diffusion equation and the convergence to N-waves, J. Differential Equations 199 (2004), no. 2, 269--289. (jde web publication) (preprint)

[9] Yong-Jung Kim and Wei-Ming Ni, Higher order approximations in the heat equation and the truncated moment problem. (submitted to Math. Ann., preprint in ps file, pdf file 28pp)

[10] Yong-Jung Kim and Robert McCann, Newtonian potential and optimal convergence in fast diffusion, (submitted)

[11] Yong-Jung Kim, Stability in conductivity image reconstruction using a J-substitution method (in progress)

[12] Yong-Jung Kim, Instability of numerical schemes for a convection-reaction equation (progress in ps file)

[14] Y.-J. Kim, O. Kwon, B.-I. Lee, J._Y. Lee, J.-K. Seo, E.-J. Woo,Magnetic resonance electrical impedance tomography(MREIT): static impedacne imaging (preprint in ps file file size: 20M)

Vitae, research plan