FluidDynamics / CONCEPT
Decay of odd periodic Allen-Cahn profiles
Odd real classical profiles on the circle satisfy the Allen-Cahn energy identity and converge in squared L2 energy to zero when diffusion dominates nonnegative linear growth, including equality of the two rates.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES4
PROOF DEPTH0
DOCUMENT LINKS0
Odd Allen-Cahn evolution decays
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- A counterexample to the general Potts moment lower boundtruth-dependency · Closed
- An entire endpoint profile with factorial derivative budgetstruth-dependency · Closed
- Refutation of the Visomirski-Griffin frozen-wave conjecturetruth-dependency · Closed
- The signed Mills-ratio remainderstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to the general Potts moment lower boundstructural-affinity · Closed
- A negative third forward differencestructural-affinity · Closed
- An entire endpoint profile with factorial derivative budgetsstructural-affinity · Closed
- Chebyshev Endpoint Certificatestructural-affinity · Closed
- Ordered-Time Simplex Second-Magnus Averagestructural-affinity · Closed
- Refutation of the Visomirski-Griffin frozen-wave conjecturestructural-affinity · Closed
- Second-Magnus Swap Curvaturestructural-affinity · Closed
- The signed Mills-ratio remaindersstructural-affinity · Closed
- Two-scale endpoint momentsstructural-affinity · Closed
- Uniform coefficient budgets and joint Laplace certificatesstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance