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An example of a non-linear evolution equation showing ‘chaos-enhancement’

✍ Scribed by B. Crell; A. Uhlmann

Publisher
Springer
Year
1979
Tongue
English
Weight
83 KB
Volume
3
Category
Article
ISSN
0377-9017

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✦ Synopsis

It is shown that for a non-linear evolution equatmn a caricature of Boltzmann's equation a famdy of H-theorems exists.

  1. We consider a non-linear evolution equation, a caricature of Boltzmann's equation [1,21. Let fZ be the space of all vectors P = (Pi)~ with P~/> 0 for all i and EiP~ = 1. The 'discrete gas model'

📜 SIMILAR VOLUMES

Blowup of solutions for a class of non-l
Blowup of solutions for a class of non-linear evolution equations with non-linear damping and source terms
✍ Yang Zhijian 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB 👁 1 views

## Abstract We consider the blowup of solutions of the initial boundary value problem for a class of non‐linear evolution equations with non‐linear damping and source terms. By using the energy compensation method, we prove that when __p__>max{__m__, __α__}, where __m__, __α__ and __p__ are non‐neg