Existence of a moving attractor for semi-linear parabolic equations

Autor: Champike Attanayake, Deepthika Senaratne, Asitha Kodippili
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2013, Iss 68, Pp 1-11 (2013)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2013.1.68
Popis: We analyze the existence of a moving attractor for a semi-linear parabolic equation. The analysis is carried out using a coordinate transformation to obtain the equation in moving coordinates and the contractions of the solutions to travelling wave solutions. We show that a moving attractor exists if the linearized system on the moving frame follows a stability condition. Application of moving attractor in long term error analysis is discussed with numerical examples.
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