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Creators/Authors contains: "Park, Sangmin"

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  1. ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available October 1, 2026
  2. ; (, Journal of the London Mathematical Society)
    Abstract We study the asymptotic convergence as of solutions of , a nonlocal differential equation that is formally a gradient flow in a constant‐mass subspace of arising from simplified models of phase transitions. In case the solution takes finitely many values, we provide a new proof of stabilization that uses a Łojasiewicz‐type gradient inequality near a degenerate curve of equilibria. Solutions with infinitely many values in generalneed notconverge to equilibrium, however, which we demonstrate by providing counterexamples for piecewise linear and cubic functions . Curiously, the exponentialrateof convergence in the finite‐value case can jump from order to arbitrarily small values upon perturbation of parameters. 
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    Full Text Available 
  3. ; ; (, Journal of Scientific Computing)
    Full Text Available 
  4. ; ; (, Journal of scientific computing)
    Accepted Manuscript Full Text Available