Yong Jung Kim's PUBLICATION

Yong Jung Kim’s research papers by years

29. Y.-J. Kim, An introduction to similarity curves and self-similar solutions to convection-diffusion equations, (in progress, preprint)

27.

26.

25.

24. J.A. Kim, Y.-J. Kim and Y.-S. Lee, Potential comparison technique for equations a in divergence form, (in progress, preprint)

23. E. Cho, S. Lee, H.J. Hwang and Y.-J. Kim A mathematical model for proximal-distal patterning in Drosophila wing imaginal disc, (in progress)

22. J. Chung and Y.-J. Kim , Asymptotic L1-convergence order for the porous medium equation via potential and entropy comparison, (in progress)

21. Y. Ha, Y.-J. Kim and Y. Lee, A positive fundamental solution for a nonconvex convection, (in progress)

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)

19. Y.-J. Kim, A generalization of the moment problem to a complex measure space and an approximation technique using backward moments (submitted to DCDS, preprint)

18. Y.-J. Kim and M.G. Lee, Semi-anisotropic conductivity imaging with interior currents on a rectangular network, ( preprint )

17. Y.-J. Kim and Y. Lee Structure of fundamental solutions of a conservation law without convexity, (submitted 2008/3/15 ARMA, preprint, 0003-9527)

16. Y.-J. Kim and Y. Ha, Fundamental solutions of a conservation law without convexity, (submitted 2007/10/31ARMA preprint, 0003-9527)

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)

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)

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)

12. Y.-J. Kim, Potential comparison and asymptotics in scalar conservation laws without convexity, J. Differential Equations 244 (2008), 40-51. (preprint, 0022-0396)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Lecture Notes

4. Fluid dynamics( preprint)

3. Notating strategy for systems of Partial differential equations (preprint)

2. Option Pricing Modeling (preprint))

1. Similarity & Scaling Invariance in Convection and Diffusion (preprint)