Chaos in Partial Differential Equations, Navier-Stokes Equations and Turbulence
Y. Charles Li
TL;DR
This paper surveys key results on chaos in partial differential equations, with a focus on Navier-Stokes equations and turbulence, highlighting recent progress and ongoing challenges in understanding chaotic behavior.
Contribution
It provides a comprehensive overview of chaos in PDEs, emphasizing recent advances and open problems in Navier-Stokes equations and turbulence.
Findings
Summary of major results on chaos in PDEs
Insights into Navier-Stokes equations and turbulence
Discussion of recent progress and future directions
Abstract
I will briefly survey the most important results obtained so far on chaos in partial differential equations. I will also survey progresses and make some comments on Navier-Stokes equations and turbulence.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics