2 problems
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Profile conjecture for local defect configurations
Consider defects in the Landau–de Gennes model, including -disclination lines whose profiles are obtained from the corresponding profile equations. Profile conjecture. The local…
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Genericity conjecture for disclination-line energy concentration
In the Landau–de Gennes model, let point defects and disclination lines be the two defect forms, with excessive energy concentrated near the defects. Energy-concentration genericit…