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Extra Form
Lecturer 권재룡
Dept. POSTECH
date Mar 28, 2013

In this talk I will talk about existence and regularity for solutions to the compressible viscous Navier-Stokes equations on nonsmooth domains, especially with corners. The solution is constructed by the decomposition of the corner singularities and the regular part. An increased regularity for the remainder and the density function is shown. The singularity is propagated into the region by the transport character of the continuity equation. One may have applications in describing the propagation into the region of the local sound wave impact occured at corners and a damage to the body domain by the singular boundary.

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  3. Deformation spaces of Kleinian groups and beyond

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  5. Counting number fields and its applications

  6. Counting circles in Apollonian circle packings and beyond

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  9. Contact topology and the three-body problem

  10. Contact instantons and entanglement of Legendrian links

  11. Contact Homology and Constructions of Contact Manifolds

  12. Conservation laws and differential geometry

  13. Connes's Embedding Conjecture and its equivalent

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  15. Congruences between modular forms

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  17. Conformal field theory and noncommutative geometry

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