Search Results - "Kim, Inwon"
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Porous Medium Equation with a Drift: Free Boundary Regularity
Published in Archive for rational mechanics and analysis (01-11-2021)“…We study regularity properties of the free boundary for solutions of the porous medium equation with the presence of drift. We show the C 1 , α regularity of…”
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Porous medium equation to Hele-Shaw flow with general initial density
Published in Transactions of the American Mathematical Society (01-02-2018)“…óáThe Hele-Shaw asymptotics for mechanical models of tumor growth, Arch. Ration. Mech. Anal. 212 (2014), 93-127] describes the growth of a tumor zone with a…”
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3
Visible light induced alkene aminopyridylation using N-aminopyridinium salts as bifunctional reagents
Published in Nature communications (11-09-2019)“…The development of intermolecular alkene aminopyridylation has great potential for quickly increasing molecular complexity with two valuable groups. Here we…”
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4
A Hele-Shaw Limit Without Monotonicity
Published in Archive for rational mechanics and analysis (01-02-2022)“…We study the incompressible limit of the porous medium equation with a right hand side representing either a source or a sink term, and an injection boundary…”
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5
Visible‐Light‐Induced Pyridylation of Remote C(sp3)−H Bonds by Radical Translocation of N‐Alkoxypyridinium Salts
Published in Angewandte Chemie International Edition (19-11-2018)“…Metal‐free, visible‐light‐induced site‐selective heteroarylation of remote C(sp3)−H bonds has been accomplished through the design of N‐alkoxyheteroarenium…”
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6
Volume preserving mean curvature flow for star-shaped sets
Published in Calculus of variations and partial differential equations (01-04-2020)“…We study the evolution of star-shaped sets in volume preserving mean curvature flow. Constructed by approximate minimizing movements, our solution preserves a…”
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7
Darcy’s Law with a Source Term
Published in Archive for rational mechanics and analysis (01-03-2021)“…We introduce a novel variant of the JKO scheme to approximate Darcy’s law with a pressure dependent source term. By introducing a new variable that implicitly…”
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Head and Tail Speeds of Mean Curvature Flow with Forcing
Published in Archive for rational mechanics and analysis (2020)“…In this paper, we investigate the large time behavior of interfaces moving with motion law V = - κ + g ( x ) , where g is positive, Lipschitz and Z n…”
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9
Interface dynamics in a two-phase tumor growth model
Published in Interfaces and free boundaries (01-06-2021)“…We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of…”
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10
Weak Solutions to the Muskat Problem with Surface Tension Via Optimal Transport
Published in Archive for rational mechanics and analysis (2021)“…Inspired by recent works on the threshold dynamics scheme for multi-phase mean curvature flow (by Esedoḡlu–Otto and Laux–Otto), we introduce a novel framework…”
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11
The Stefan problem and free targets of optimal Brownian martingale transport
Published in The Annals of applied probability (01-04-2024)“…We formulate and solve a free target optimal Brownian stopping problem from a given distribution while the target distribution is free and is conditioned to…”
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12
Homogenization of oblique boundary value problems
Published in Advanced nonlinear studies (09-03-2023)“…We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems posed in…”
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13
On volume-preserving crystalline mean curvature flow
Published in Mathematische annalen (2022)“…In this work we consider the global existence of volume-preserving crystalline curvature flow in a non-convex setting. We show that a natural geometric…”
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14
Performance of CMIP5 atmospheric general circulation model simulations over the Asian summer monsoon region
Published in Global and planetary change (01-11-2020)“…Performance of twenty-eight state of art atmosphere general circulation models (AGCMs) in simulating regional characteristic features of summer monsoon…”
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15
Liquid Drops on a Rough Surface
Published in Communications on pure and applied mathematics (01-12-2018)“…We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume‐constrained minimizer of the total interfacial energy. The large‐scale…”
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16
Liquid drops sliding down an inclined plane
Published in Transactions of the American Mathematical Society (01-11-2014)“…We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model)…”
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17
A Fokker-Planck type approximation of parabolic PDEs with oblique boundary data
Published in Transactions of the American Mathematical Society (01-08-2016)“…We consider solutions of quasi-linear parabolic PDEs with zero oblique boundary data in a bounded domain. Our main result states that the solutions can be…”
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18
Viscosity Solutions for the Two-Phase Stefan Problem
Published in Communications in partial differential equations (01-01-2011)“…We introduce a notion of viscosity solutions for the two-phase Stefan problem, which incorporates possible existence of a mushy region generated by the initial…”
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Tuning Sensory Properties of Triazole-Conjugated Spiropyrans: Metal-Ion Selectivity and Paper-Based Colorimetric Detection of Cyanide
Published in Sensors (Basel, Switzerland) (07-08-2017)“…Tuning the sensing properties of spiropyrans (SPs), which are one of the photochromic molecules useful for colorimetric sensing, is important for efficient…”
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20
Dynamic Stability of Equilibrium Capillary Drops
Published in Archive for rational mechanics and analysis (01-03-2014)“…We investigate a model for contact angle motion of quasi-static capillary drops resting on a horizontal plane. We prove global in time existence and long time…”
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