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Global Mild Solutions to a BGK Model for Barotropic Gas Dynamics

Autor: Koo, Dowan, Song, Sihyun

We establish global existence of mild solutions to the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] under the minimal assumption of finite kinetic entropy initial data. Moreover we rigorously derive a kinetic entropy inequalit

Externí odkaz: http://arxiv.org/abs/2409.04129

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Critical thresholds in pressureless Euler--Poisson equations with background states

Autor: Choi, Young-Pil, Kim, Dong-ha, Koo, Dowan, Tadmor, Eitan

We investigate the critical threshold phenomena in a large class of one dimensional pressureless Euler--Poisson (EP) equations, with non-vanishing background states. First, we establish local-in-time well-posedness in proper regularity spaces, which

Externí odkaz: http://arxiv.org/abs/2402.12839

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A gradient flow for the Porous Medium Equations with Dirichlet boundary conditions

Autor: Kim, Dongkwang, Koo, Dowan, Seo, Geuntaek

We consider the gradient flow structure of the porous medium equations with nonnegative constant boundary conditions. We prove that weak solutions to the equations can be obtained by the variational steepest descent scheme by considering an entropy f

Externí odkaz: http://arxiv.org/abs/2212.06092

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A novel approach for wafer defect pattern classification based on topological data analysis

Autor: Ko, Seungchan, Koo, Dowan

In semiconductor manufacturing, wafer map defect pattern provides critical information for facility maintenance and yield management, so the classification of defect patterns is one of the most important tasks in the manufacturing process. In this pa

Externí odkaz: http://arxiv.org/abs/2209.08945

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One dimensional consensus based algorithm for non-convex optimization

Autor: Choi, Young-Pil, Koo, Dowan

We analyze the consensus based optimization method proposed by Pinnau et al.(2017) in one dimension. We rigorously provide a quantitative error estimate between the consensus point and global minimizer of a given objective function. Our analysis cove

Externí odkaz: http://arxiv.org/abs/2109.04890

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