7 papers
Improving Flow Matching by Aligning Flow Divergence
Yuhao Huang, Taos Transue, Shih-Hsin Wang +3
Conditional flow matching (CFM) stands out as an efficient, simulation-free approach for training flow-based generative models, achieving remarkable performance for data generation…
The pinning effect of dilute defects
William M Feldman, Inwon C Kim
We consider the Bernoulli free boundary problem with ``defects", inhomogeneities in the coefficients of compact support. When the defects are small and arrayed periodically there e…
Rate independent capillary motion on a narrow Wilhelmy plate
Carson Collins, William M Feldman
We study a rate independent energetic model of the Wilhelmy plate experiment in capillarity. The evolution is driven by vertical motions of the plate. We show stability of energy s…
Global Well-Posedness of a Nonlinear Fokker-Planck Type Model of Grain Growth
Batuhan Bayir, Yekaterina Epshteyn, William M Feldman
Most technologically useful materials spanning multiple length scales are polycrystalline. Polycrystalline microstructures are composed of a myriad of small crystals or grains with…
Compactness for via concentration-compactness
William M Feldman, Kerrek Stinson
Motivated by variational models for fracture, we provide a new proof of compactness for functions without a priori bounds on the function itself. Our proof is based on the…
On the geometry of rate independent droplet evolution
William M Feldman, Inwon C. Kim, Norbert Požár
We introduce a toy model for rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We consider a notion…