Sunhi Choi
Associate Professor Department of Mathematics The University of Arizona 617 N Santa Rita Ave, Rm 208 Tucson, Arizona 85721-0089 schoi at math.arizona.edu |

My recent research interest is on problems in nonlinear differential equations in which the boundary (zero level set) is unknown and has to be determined. This is so-called free boundary problems. The particular problems that I have worked on include the Stefan problem, Hele-Shaw problem and the flame propagation for laminar flames. The Stefan problem models the phase transition between solid and fluid states such as the interface between water and melting ice. The Hele-Shaw problem models the fluid motion in a narrow cell between two parallel plates. The goal of my research is to gain the regularity properties and study the asymptotic behavior of the free boundaries. I am also interested in 1. the first eigenfunction and eigenvalue for the Laplacian under the Neumann or Dirichlet boundary conditions and 2. periodic homogenization problems for second-order nonlinear pde with oscillatory boundary conditions. |

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MATH 129

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MATH 323

MATH 355

MATH 527A

MATH 527B

J. Math. Pures Appl. Vol. 102 (2014), no. 2, 419–448.
doiGeometric partial differential equations, 105–118, CRM Series, 15, Ed. Norm., Pisa, 2013.
pdfAnalysis & PDE Vol. 6 (2013), No. 4, 951-972.
doiAnalysis & PDE Vol. 5 (2012), No. 5, 1063-1103.
doiAmer. J. Math. 132 (2010), no. 6, 1693-1727.
pdfIndiana Univ. Math. J. 58 (2009), no. 6, 2765-2804.
pdfComm. Partial Differential Equations 34 (2009), no. 4-6, 457-474.
pdfTrans. Amer. Math. Soc., 361 (2009), no. 10, 5111-5137.
pdfAmer. J. Math. 129 (2007), no. 2, 527-582.
pdfIndiana Univ. Math. J., 55 (2006), no. 2, 525-551.
pdfJ. d'Analyse Math., 93 (2004), 237-269.
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