Extra Form
강연자 권순식
date 2014-05-01

Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the notion of resonance and the normal form method in ODE setting and Hamiltonian systems. Afterward, I will present how we apply the method to nonlinear dispersive equations such as KdV, NLS to obtain unconditional well-posedness for low regularity data.

첨부 '1'
  1. The process of mathematical modelling for complex and stochastic biological systems

  2. Random walks in spaces of negative curvature

  3. Solver friendly finite element methods

  4. Brownian motion and energy minimizing measure in negative curvature

  5. 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까?

  6. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  7. Weyl character formula and Kac-Wakimoto conjecture

  8. Nonlocal generators of jump type Markov processes

  9. Regularity of solutions of Hamilton-Jacobi equation on a domain

  10. What is Weak KAM Theory?

  11. 정년퇴임 기념강연: 회고

  12. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

  13. The classification of fusion categories and operator algebras

  14. Green’s function for initial-boundary value problem

  15. Mechanization of proof: from 4-Color theorem to compiler verification

  16. On the distributions of partition ranks and cranks

  17. Q-curvature in conformal geometry

  18. Zeros of the derivatives of the Riemann zeta function

  19. Geometry, algebra and computation in moduli theory

  20. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Next
/ 14