Dynamics of Partial Differential Equations
Volume 10 (2013)
Major open problems in chaos theory, turbulence and nonlinear dynamics
Pages: 379 – 392
Nowadays, chaos theory, turbulence and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence (chaos and turbulence engineering), 2. rough dependence on initial data – short term unpredictability (turbulence physics), 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of plankton.
chaos, turbulence, effective description of chaos and turbulence, rough dependence on initial data, short term unpredictability, arrow of time, enrichment paradox, pesticide paradox, plankton paradox
2010 Mathematics Subject Classification
Primary 37-xx, 70-xx, 76-xx, 92-xx. Secondary 34-xx, 35-xx, 80-xx, 82-xx.