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강연자 김건우
소속 포항공대
date 2022-04-21

 

Stochastic heat equations (SHE) usually refer to heat equations perturbed by noise and can be a model for the density of diffusing particles under a random potential. When the irregularity of noise is dominating the diffusion, SHE exhibits interesting phenomena induced by noise, such as intermittency and dissipation. In this talk, we first introduce what noise means mathematically and present several ways to understand noise-induced phenomena such as intermittency and dissipation.

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첨부 '1'
  1. Mixed type PDEs and compressible flow

  2. Mixing time of random processes

  3. 28Apr
    by 김수현
    in 수학강연회

    Noise-induced phenomena in stochastic heat equations

  4. Non-commutative Lp-spaces and analysis on quantum spaces

  5. Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry

  6. Noncommutative Surfaces

  7. Nonlocal generators of jump type Markov processes

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

  9. Number theoretic results in a family

  10. On circle diffeomorphism groups

  11. On classification of long-term dynamics for some critical PDEs

  12. On function field and smooth specialization of a hypersurface in the projective space

  13. On Ingram’s Conjecture

  14. On some nonlinear elliptic problems

  15. On the distributions of partition ranks and cranks

  16. On the resolution of the Gibbs phenomenon

  17. On the Schauder theory for elliptic PDEs

  18. One and Two dimensional Coulomb Systems

  19. Partial differential equations with applications to biology

  20. Periodic orbits in symplectic geometry

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