Publications (by subjects)

The Partial differential equations: Fluid Mechanics

1. Incompressible viscous flows

2. Time-dependent compressible viscous (Stokes or Navier-Stokes) flows

3. Stationary compressible viscous flows on bounded domains with corners

4.  Stationary compressible viscous flows on smooth domains

5. Discontinuous solutions

6. Heat or Lame equations on polygons or polyhedral cylinders in R^3

  • J. R. Kweon. Edge singular behavior for the Heat equation on polyhefral cylinders in R^3, Potential Anal. 38 (2013), no. 2, 589-610.
  • J. R. Kweon. For the Parabolic Lame System on Polygonal Domains: The transort equation, J. Differential Equations 255 (2013), no. 6, 1109-1131.   
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Numerical Analysis

1. The finite element methods on domains with corners:

2. Discontinuous Galerkin Methods:

3. Adaptive and general finite element methods:

4. Mixed finite element methods:

The papers submitted & the preprint:

  • J. R. Kweon. Discontinuous dynamics for compressible viscous flows in bounded plane domains, preprint.
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