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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.

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첨부 '1'
  1. Recent progress on the Brascamp-Lieb inequality and applications

  2. Existence of positive solutions for φ-Laplacian systems

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

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

  5. Random conformal geometry of Coulomb gas formalism

  6. Categorification of Donaldson-Thomas invariants

  7. Noncommutative Surfaces

  8. The Shape of Data

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

  10. Subgroups of Mapping Class Groups

  11. Analytic torsion and mirror symmetry

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

  13. 정년퇴임 기념강연: Volume Conjecture

  14. Connes's Embedding Conjecture and its equivalent

  15. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  16. Combinatorial Laplacians on Acyclic Complexes

  17. 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

  18. L-function: complex vs. p-adic

  19. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

  20. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

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