Open AccessNonuniform Continuity of the Osmosis K(2, 2) Equation
Author(s) -
Aiyong Chen,
Yong Ding,
Wentao Huang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/717042
Subject(s) - mathematics , traveling wave , mathematical analysis , parametric statistics , differential equation , amplitude , physics , statistics , quantum mechanics
The qualitative theory of differential equations is applied to the osmosis K(2, 2)equation. The parametric conditions of existence of the smooth periodic travellingwave solutions are given. We show that the solution map is not uniformlycontinuous by using the theory of Himonas and Misiolek. The proof relies on aconstruction of smooth periodic travelling waves with small amplitude
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