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A sufficient condition for instability of BGK-type waves

✍ Scribed by E. Infeld; G. Rowlands

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
189 KB
Volume
54
Category
Article
ISSN
0375-9601

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Nonlinear instability of periodic BGK wa
Nonlinear instability of periodic BGK waves for Vlasov-Poisson system
✍ Zhiwu Lin πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 162 KB

## Abstract We investigate the nonlinear instability of periodic Bernstein‐Greene‐Kruskal (BGK) waves. Starting from an exponentially growing mode to the linearized equation, we proved nonlinear instability in the __L__^1^‐norm of the electric field. Β© 2004 Wiley Periodicals, Inc.

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The total chromatic number Ο‡ T (G) of graph G is the least number of colors assigned to V (G) βˆͺ E(G) such that no adjacent or incident elements receive the same color. In this article, we give a sufficient condition for a bipartite graph G to have Ο‡ T (G) = βˆ†(G) + 1.