A Simple Model for Spatio-Temporal Chaos in an Unstable Burgers Equation
Author(s) -
Hidetsugu Sakaguchi
Publication year - 2000
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.103.703
Subject(s) - burgers' equation , physics , simple (philosophy) , chaos (operating system) , statistical physics , shock (circulatory) , classical mechanics , dynamics (music) , mathematics , nonlinear system , computer science , quantum mechanics , medicine , philosophy , computer security , epistemology , acoustics
We consider an unstable Burgers equation that exhibits spatio-temporal chaos. This spatio-temporal chaos is characterized by creation and merging processes of shock structures. We attempt to construct a simple model for the dynamics of these shocks. We also study a two-dimensional unstable Burgers equation.
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