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[21] J. Chung and Y.-J. Kim, Relative Newtonian potentials of radial functions and asymptotics in nonlinear diffusion, SIMA 43 (2011)
1975-1994.(preprint, 0036-1410)
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[20] J. Chung, E. Kim and Y.-J. Kim, Asymptotic agreement of moments and higher order asymptotics in the Burgers equation,
J. Differential Equations 248 (2010) 2417-2434. (preprint, 0022-0396, 15 May 2010)
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[19] Y.-J. Kim, A generalization of the moment problem to a complex measure space and an approximation technique using backward moments,
Discret. Contin. Dyn. Syst. 30 (2011) 187-207. (preprint, 2011/05/01, 1078-0947)
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[15] M. Kim and Y.-J. Kim, Invariance property of a conservation law without convexity, Indiana Univ. Math. J. 58 (2009) 733-750.
(preprint, 0022-2518)
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[14] Y.-J. Kim and Wei-Ming Ni, Higher order approximations in the heat equation and the truncated moment problem,
SIAM J. Math. Anal. 40 (2009), 2241-2261. (preprint, 0036-1410)
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[13] Y. Ha, Y.-J. Kim and Tim Myers, On the numerical solution of a driven thin film equation,
J. Comput. Phys. 227 (2008), 7246-7263. (preprint, 0021-9991)
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[12] Y.-J. Kim, Potential comparison and asymptotics in scalar conservation laws without convexity,
J. Differential Equations 244 (2008), 40-51. (preprint, 0022-0396)
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[11] Y. Ha and Y.-J. Kim, Explicit solutions to a convection-reaction equation and defects of numerical schemes,
J. Comput. Phys. 220 (2006), 511-531. (preprint, 0021-9991)
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[10] Y.-J. Kim and R. McCann, Potential theory and optimal convergence rates in fast nonlinear diffusion,
Journal de Mathematiques Pures et Appliquees 86 (2006), no.1, 42-67 (preprint, 0021-7824)
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[9] Y.-J. Kim and R. McCann, Sharp decay rates for the fastest conservative diffusions,
C. R. Acad. Sci. Paris Ser. I Math. 341 (2005), 157-162. (preprint, 1631-073X)
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[8] Y.-J. Kim, An Oleinik type estimate for a convection-diffusion equation and the convergence to N-waves,
J. Differential Equations 199 (2004), no. 2, 29-289. (preprint, 0022-0396)
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[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) 1213-1225.
(preprint, 0266-5611)
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[6] Y.-J. 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. (preprint, 0022-0396)
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[5] Y.-J. Kim and W.-M. 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. (preprint, 0022-2518)
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[4] Y.-J. Kim, Piecewise self-similar solutions and a numerical scheme for scalar conservation laws. SIAM J. Numer. Anal. 40 (2002),
no. 6, 2105-2132. (preprint, 0036-1429)
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[3] Y.-J. Kim and A.E. Tzavaras, Diffusive N-waves and metastability in Burgers equation. SIAM J. Math. Anal. 33 (2001), no.3, 607--633.
(preprint, 0036-1410)
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[2] Shi Jin and Y.-J. Kim, On the computation of roll waves. M2AN Math. Model. Num. Anal., 35 (2001), no.3, 463-480.
(preprint, 0764-583X)
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[1] Y.-J. 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, 0033-5606)
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[31] Y.J. Kim,O. Kwon and F. Li, Stability analysis of a logistic model with an ecological diffusion
(preprint, )
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[30] Y.J. Kim, Ecological diffusion for biological organisms under heterogeneous Brownian movements
(preprint, )
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[25] Y.-J. Kim, M. Taniguchi and W.-M. Ni, Non-existence of localized travelling waves with non-zero speed in
single reaction-diffusion equations, (submitted to Henri Poincare non-lineaire, preprint)
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[24] Y.-J. Kim and Marshall Slemrod, A lower blowup time estimate in an aggregation equation (in progress)
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[23] Y.-J. Kim, Self-similarity of convection-diffusion equations via similarity curves, (in progress)
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[22] Y.-J. Kim, Connectedness gives a unified generalization of Oleinik or Aronson-Benilan type one-sided inequalities
(preprint)
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[18] Y.-J. Kim and M.G. Lee, Semi-anisotropic conductivity imaging with interior currents on a rectangular network,
(preprint )
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[17] Y.-J. Kim and Y. Lee Structure of fundamental solutions of a conservation law without convexity,
(preprint, submitted 2008/3/15 ARMA, 0003-9527)
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[16] Y.-J. Kim and Y. Ha, Fundamental solutions of a conservation law without convexity,
(preprint, submitted 2007/10/31ARMA, 0003-9527)
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[B.2] Y.J. Kim, Diffusion beyond Fick's law: theory for a general Brownian motion
(revised for Physical Review E preprint, )
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