Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
September 5, 2026Open Access

Radiation Memory and Refined Scale-Interaction Laws in a Persistent Two-Bubble Regime of the 2-Equivariant Harmonic-Map Heat Flow

View Full Paper
Ask AI
Bookmark
Share

Authors

JHJaegue Hwang

Discussion

Loading...

Member takes

Overview

Theoretical analysis reveals refined scale-interaction laws and radiation memory in two-bubble harmonic-map heat flow, highlighting canonical multiscale interaction dynamics.

Key Points

  • To characterize the conditional internal dynamics and scale-interaction laws governing two-dimensional, 2-equivariant harmonic-map heat flow in a persistent two-bubble regime.
  • Analyzed the heat flow from R^2 to S^2 under well-separated scales where inner and outer bubble scales satisfy λ(t) ≪ μ(t) ≪ √t with vanishing energy remainder.
  • Constructed a free critical-radiation representation along an admissible contour to evaluate the logarithmic interaction clock.
  • Derived an intrinsic leading scale-interaction law for the inner bubble governed by radiation memory and a deterministic nearest-neighbor drift coefficient of -16σ/π.
  • Established finiteness of the logarithmic second interaction clock and formulated a refined second-order interaction law with canonical logarithmic-neck coefficient 128/π.

Cite This Study

Jaegue Hwang (2026) studied this question.

synapsesocial.com/papers/6a9bd49d6b95aff0620ec5cehttps://doi.org/10.5281/zenodo.22262843
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Radiation Memory, Nearest-Neighbor Drift, and a Refined Logarithmic Interaction Law in a Persistent Two-Bubble Regime of the 2-Equivariant Harmonic-Map Heat Flow2026
  2. 2Radiation Memory and Nearest-Neighbor Drift in a Persistent Two-Bubble Regime of the 2-Equivariant Harmonic-Map Heat Flow2026
  3. 3An Unconditional Persistent Two-Bubble Solution for the 2-Equivariant Harmonic-Map Heat Flow2026
  4. 4A Persistent Two-Bubble Solution for the 2-Equivariant Harmonic-Map Heat Flow2026
  5. 5Scalar-Sign Rigidity and Bubble-Number Selection for the 2-Equivariant Harmonic-Map Heat Flow2026