Application of the renormalization-group method to the reduction of transport equations

  title={Application of the renormalization-group method to the reduction of transport equations},
  author={T. Kunihiro and K. Tsumura},
  journal={Journal of Physics A},
We first give a comprehensive review of the renormalization-group method for global and asymptotic analysis, putting an emphasis on the relevance to the classical theory of envelopes and on the importance of the existence of invariant manifolds of the dynamics under consideration. We clarify that an essential point of the method is to convert the problem from solving differential equations to obtaining suitable initial (or boundary) conditions: the RG equation determines the slow motion of the… Expand

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