FluidDynamics / CONCEPT
Refutation of the Visomirski-Griffin frozen-wave conjecture
At the parameters a = -1/2 and D = 1/100, the alternating sine data on 50 species cannot converge to a nonhomogeneous frozen wave. The family mechanism is parity reduction to an odd Allen-Cahn profile whose energy decays when 2 n D + a is nonnegative.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
The uniform even-cycle claim is false
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RELATED KNOWLEDGE
Structural connections
- A counterexample to the general Potts moment lower boundstructural-affinity · Closed
- An entire endpoint profile with factorial derivative budgetsstructural-affinity · Closed
- Decay of odd periodic Allen-Cahn profilesstructural-affinity · Closed
- Normalized exponential remainder ordersstructural-affinity · Closed
- The general-parameter Gaussian Laplace identitystructural-affinity · Closed
- The signed Mills-ratio remaindersstructural-affinity · Closed
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