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Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation

  • Published:2013-09 Issue: Volume:258 Page:11-46
  • ISSN:0167-2789
  • Container-title:Physica D: Nonlinear Phenomena
  • language:en
  • Short-container-title:Physica D: Nonlinear Phenomena

Author:

Barker Blake,Johnson Mathew A.,Noble Pascal,Rodrigues L. Miguel,Zumbrun Kevin

Funder

NSF

NSF Postdoctoral Fellowship

French ANR Project

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference75 articles.

1. The motion of weakly interacting pulses in reaction–diffusion systems;Ei;J. Dynam. Differential Equations,1992

2. Nonlinear analysis of hydrodynamic instability in laminar flame. I. Derivation of basic equations;Sivashinsky;Acta Astron.,1977

3. Instabilities, pattern formation, and turbulence in flamesbe;Sivashinsky;Annu. Rev. Fluid Mech.,1983

4. Chemical Oscillations, Waves, and Turbulence;Kuramoto,1984

5. On the formation of dissipative structures in reaction–diffusion systems;Kuramoto;Progress of Theoretical Physics,1975

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