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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. An introduction to hyperplane arrangements

  2. Analysis and computations of stochastic optimal control problems for stochastic PDEs

  3. Analytic torsion and mirror symmetry

  4. Anomalous diffusions and fractional order differential equations

  5. Arithmetic of elliptic curves

  6. Averaging formula for Nielsen numbers

  7. Birational Geometry of varieties with effective anti-canonical divisors

  8. Brownian motion and energy minimizing measure in negative curvature

  9. Brownian motion with darning and conformal mappings

  10. Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

  11. Categorification of Donaldson-Thomas invariants

  12. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

  13. Circular maximal functions on the Heisenberg group

  14. Class field theory for 3-dimensional foliated dynamical systems

  15. Classical and Quantum Probability Theory

  16. Cloaking via Change of Variables

  17. Codimension Three Conjecture

  18. Combinatorial Laplacians on Acyclic Complexes

  19. 07Nov
    by Editor
    in 수학강연회

    Compressible viscous Navier-Stokes flows: Corner singularity, regularity

  20. Conformal field theory and noncommutative geometry

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