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Richards Equation — unsaturated variably-saturated flow L1-189

Fluid DynamicsRichards eqn for unsaturated flowδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable
📋

Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

Forward model E

Richards Equation — unsaturated variably-saturated flow forward model.

L-DAG

L.nonlinear_conductivity -> L.continuity -> L.capillary_pressure -> int.temporal
L.nonlinear_conductivityL.continuityL.capillary_pressureint.temporal

Well-posedness W

Existence:
true
Uniqueness:
true
Stability:
conditional
κ:
440

Highly nonlinear; degenerate in dry limit.

Solvability C

Solver class:
HYDRUS, ParFlow, Richards-Net
Convergence rate q:
1.5
Complexity:
O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.