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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/717042 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |