Nonuniform Continuity of the Osmosis K(2, 2) Equation

Nonuniform Continuity of the Osmosis K(2, 2) Equation

The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The p...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.353-360-939
Hauptverfasser: Chen, Aiyong, Ding, Yong, Huang, Wentao
Format: Artikel
Sprache:eng
Schlagworte:
Continuity
Existence theorems
Mathematical research
Wave equation
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Zusammenfassung:The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The proof relies on a construction of smooth periodic travelling waves with small amplitude.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/717042