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Extra Form
강연자 권재룡
소속 POSTECH
date 2013-03-28

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.

Atachment
첨부 '1'
  1. Existence of positive solutions for φ-Laplacian systems

  2. Riemann-Hilbert correspondence for irregular holonomic D-modules

  3. Normal form reduction for unconditional well-posedness of canonical dispersive equations

  4. Random conformal geometry of Coulomb gas formalism

  5. Categorification of Donaldson-Thomas invariants

  6. Noncommutative Surfaces

  7. The Shape of Data

  8. Topological Mapping of Point Cloud Data

  9. Structures on Persistence Barcodes and Generalized Persistence

  10. Persistent Homology

  11. Topological aspects in the theory of aperiodic solids and tiling spaces

  12. Subgroups of Mapping Class Groups

  13. Irreducible Plane Curve Singularities

  14. Analytic torsion and mirror symmetry

  15. Fefferman's program and Green functions in conformal geometry

  16. 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds

  17. 정년퇴임 기념강연: Volume Conjecture

  18. Queer Lie Superalgebras

  19. Regularization by noise in nonlinear evolution equations

  20. A New Approach to Discrete Logarithm with Auxiliary Inputs

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