Current Profile u(x, t)
Spatiotemporal Evolution (Space-Time Diagram)
Power Spectrum |û(k)|²
∂u/∂t + u·∂u/∂x + ∂²u/∂x² + ∂⁴u/∂x⁴ = 0
Simulation
Initial Condition
Parameters
Larger domains → more chaotic
Visualization
Time:
0.00
Max |u|:
—
Energy:
—
Grid Points:
256
The KS equation models flame fronts, crystal growth, and turbulent flows. It exhibits spatiotemporal chaos with sensitive dependence on initial conditions.