Existence of a moving attractor for semi-linear parabolic equations
Document Type
Article
Publication Date
1-1-2013
Abstract
We analyze the existence of a moving attractor for a semi-linear parabolic equation. The analysis is carried out by using a coordinate transformation to obtain the equation in moving coordinates and the contractions of the solutions to traveling wave solutions. We show that a moving attractor exists if the linearized equation on the moving frame follows a stability condition. Application of moving attractor in long term error analysis is discussed with numerical examples.
Recommended Citation
Attanayake, Champike; Senaratne, Deepthika; and Kodippili, Asitha, "Existence of a moving attractor for semi-linear parabolic equations" (2013). College of Health, Science, and Technology. 1036.
https://digitalcommons.uncfsu.edu/college_health_science_technology/1036