대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제36권4호
  • /
  • Pages.637-647
  • /
  • 1999
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

LAYER OSCILLATIONS IN A FREE BOUNDARY PROBLEM WITH PUSHCHINO DYNAMICS SATISFYING THE DIRICHLET BOUNDARY CONDITION

  • 발행 : 1999.11.01
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초록

In this paper, we consider a free boundary problem with Pushchino dynamics satisfying the Dirichlet boundary condition. We shall the stationary solutions ($v^{*}(x),s^{*}$) exist and the Hopf bifurcation occurs at a critical point when s $\in$ (1/3,1).

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참고문헌

  1. Arch. Rational Mech. Anal. v.67 The Hopf Bifurcation Theorem in Infinite Dimensions M. G. CRANDALL;P. H. RABINOWITZ
  2. CMBS-NSF Regional Conference Series in Applied Mathematics v.53 Dynamics of internal layers and diffusive interfaces P. FIFE
  3. Lecture Notes in Mathematics v.840 Geometric Theory of Semilnear Parabolic Equations D. HENRY
  4. Internat. J. of Bifurcation and Choas v.3 no.2 Twisted scroll waves in Heterogeneous excitable media A. APNFILOV;J. KEENER
  5. Jour. Korean Math. Soc. v.32 no.2 A Hopf bifurcation in a parabolic free boundary problem with Pushchino dynamics Y. M. HAM