2D Anisotropic Stiff Dynamics: Chaotic Pattern Formation in Two Dimensions¶
- Task ID:
physics.ks_2d_anisotropic - Domain:
physics - Subdomain:
nonlinear_dynamics - Status:
test - Tags:
stiff_pde,spectral_methods,chaotic_dynamics,2d_fft,anisotropic_pde,etdrk4,pattern_formation
Public Summary¶
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Example B1 Prompt Excerpt¶
# B1: 2D Conserved Anisotropic Stiff Dynamics — Full Equation and Solver Guide
## Task Overview
You are given observed spatio-temporal evolution data from a 2D nonlinear pattern-forming system governed by a conserved anisotropic Kuramoto-Sivashinsky-type equation (epitaxial surface-growth variant) on a doubly periodic domain:
```text
u_t = -alpha * u
+ u_xx + mu * u_yy
- nu * u_xxxx - 2 * gamma * u_xxyy - delta * u_yyyy
+ nabla^2 [(lambda_xx / 2) * u_x^2
Notes¶
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