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20102026
most citedMean curvature, threshold dynamics, and phase field theory on finite graphs

85 citations · 285 across the 40 of their papers we have counts for

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math.AP2019

Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field

Dong Wang, Braxton Osting, Xiao-Ping Wang

We consider the initial value problem for the generalized Allen-Cahn equation, \[\partial_t Φ= ΔΦ-\varepsilon^{-2} Φ(Φ^t Φ- I), \qquad x \in Ω, \ t\geq 0,\] where is an $n\time…

math.AP2019

Analyticity of Steklov eigenvalues of nearly-circular and nearly-spherical domains

Robert Viator, Braxton Osting

We consider the Dirichlet-to-Neumann operator (DNO) on nearly-circular and nearly-spherical domains in two and three dimensions, respectively. Treating such domains as perturbation…