Hydrodynamic limit of the kinetic thermomechanical Cucker-Smale model in a strong local alignment regime

JOURNAL ARTICLE published 2020 in Communications on Pure & Applied Analysis

Authors: Moon-Jin Kang | ,Department of Mathematics and Research Institute of Natural Sciences, Sookmyung Women's University, Seoul 04310, Republic of Korea | Seung-Yeal Ha | Jeongho Kim | Woojoo Shim | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | ,Institute of New Media and Communications, Seoul National University, Seoul 08826, Republic of Korea | ,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Republic of Korea

Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings

JOURNAL ARTICLE published 2020 in Communications on Pure & Applied Analysis

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826 | Dohyun Kim | Jinyeong Park | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul, 02455, Republic of Korea | ,National Institute for Mathematical Sciences, 70, Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon 34047, Republic of Korea | ,Department of Mathematics and Research Institute of Natural Sciences, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Republic of Korea

The global well-posedness of the kinetic Cucker-Smale flocking model with chemotactic movements

JOURNAL ARTICLE published 2018 in Communications on Pure & Applied Analysis

Authors: Chiun-Chuan Chen | ,Department of Mathematics, National Taiwan University and National Center for Theoretical Sciences, No. 1 Sec. 4, Roosevelt Road, Taipei 10617, Taiwan | Seung-Yeal Ha | Xiongtao Zhang | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea | ,Center for Mathematical Sciences, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan, 430074, China

The Green function for the Stokes system with measurable coefficients

JOURNAL ARTICLE published 2017 in Communications on Pure & Applied Analysis

Authors: Jongkeun Choi | ,Department of Mathematics, Korea University, Seoul 02841, Republic of Korea | Ki-Ahm Lee | ,Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea | ,Center for Mathematical Challenges, Korea Institute for Advanced Study, Seoul 130-722, Republic of Korea

A global existence of classical solutions to the two-dimensional kinetic-fluid model for flocking with large initial data

JOURNAL ARTICLE published 2020 in Communications on Pure & Applied Analysis

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | Bingkang Huang | Qinghua Xiao | Xiongtao Zhang | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul, 02455, Republic of Korea | ,School of Mathematics, Hefei University of Technology, Hefei 230009, China | ,Wuhan Institute of Physics and Mathematicss, Chinese Academy of Science, Wuhan 430071, China | ,Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China

On the orbital stability of fractional Schrödinger equations

JOURNAL ARTICLE published 2014 in Communications on Pure & Applied Analysis

Authors: Yonggeun Cho | ,Department of Mathematics, and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 561-756 | Hichem Hajaiej | Gyeongha Hwang | Tohru Ozawa | ,Department of Mathematics, King Saud University, P.O. Box 2455, 11451 Riyadh | ,Department of Mathematical Sciences, Seoul National University, Seoul 151-747 | ,Department of Applied Physics, Waseda University, Tokyo, 169-8555

Scattering results for Dirac Hartree-type equations with small initial data

JOURNAL ARTICLE published 2019 in Communications on Pure & Applied Analysis

Authors: Changhun Yang | ,Korea Institute for Advanced Study, Seoul 20455, Korea | ,Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 54896, Korea

On the Sobolev embedding properties for compact matrix quantum groups of Kac type

JOURNAL ARTICLE published 2020 in Communications on Pure & Applied Analysis

Authors: Sang-Gyun Youn | ,Department of Mathematics Education, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul, 08826, Republic of Korea

The weak maximum principle for second-order elliptic and parabolic conormal derivative problems

JOURNAL ARTICLE published 2020 in Communications on Pure & Applied Analysis

Authors: Doyoon Kim | ,Department of Mathematics, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul, 02841, Republic of Korea | Seungjin Ryu | ,Department of Mathematics, University of Seoul, 163 Seoulsiripdaero, Dongdaemun-gu, Seoul, 02504, Republic of Korea

PRELIMINARY SAFETY ANALYSIS OF ACTIVE SIDE STICKS DURING AUTOPILOT OPERATION

PROCEEDINGS ARTICLE published 2020 in ZAVALISHENSKY READING’20

Authors: A. S.  Savelev | Moscow Aviation Institute (National Research University) | E. S.  Neretin | Moscow Aviation Institute (National Research University)

Cell boundary element methods for convection-diffusion equations

JOURNAL ARTICLE published 2006 in Communications on Pure & Applied Analysis

Authors: Youngmok Jeon | ,Department of Mathematics, Ajou University, Suwon 443-749 | Eun-Jae Park | ,Department of Mathematics, Yonsei University, Seoul 120-749

Low regularity well-posedness for Gross-Neveu equations

JOURNAL ARTICLE published 2015 in Communications on Pure & Applied Analysis

Authors: Hyungjin Huh | ,Department of Mathematics, Chung-Ang University, Seoul 156-756 | Bora Moon

Carleman estimates for the Schrödinger operator and applications to unique continuation

JOURNAL ARTICLE published 2012 in Communications on Pure & Applied Analysis

Authors: Ihyeok Seo | ,Department of Mathematical Sciences, Seoul National University, Seoul 151-747

Hydrodynamic limits of Manton's Schrödinger system

JOURNAL ARTICLE published 2023 in Communications on Pure and Applied Analysis

Authors: Jeongho Kim | Department of Applied Mathematics, Kyung Hee University, 1732, Deogyeong-daero, Giheung-gu, Yongin-si, Gyeonggi-do 17104, Republic of Korea | Bora Moon | Department of Mathematics and Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea

Local Lipschitz regularity for functions satisfying a time-dependent dynamic programming principle

JOURNAL ARTICLE published 2020 in Communications on Pure & Applied Analysis

Authors: Jeongmin Han | ,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Republic of Korea

On well-posedness for inhomogeneous Hartree equations in the critical case

JOURNAL ARTICLE published 2023 in Communications on Pure and Applied Analysis

Authors: Seongyeon Kim | School of Mathematics, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea

OCS-TGBM: Intelligent Analysis of Organic Chemical Synthesis Based on Topological Data Analysis and LightGBM

JOURNAL ARTICLE published 2024 in MATCH – Communications in Mathematical and in Computer Chemistry

Authors: Yanhui Guo | Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, School of Mathematics and Statistics, Henan University, China | Lichao Peng | Zixin Li | Mengen Yu | Xue Jiao | Yun Chai | Xiaohui Yang | National and Local Joint Engineering Research Center for Applied Technology of Hybrid Nanomaterials, Henan University, China | Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, School of Mathematics and Statistics, Henan University, China | Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, School of Mathematics and Statistics, Henan University, China | Henan Institute of Science and Technology, china | College of Chemistry and Chemical Engineering, Henan University, China | Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, School of Mathematics and Statistics, Henan University, China

GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS

JOURNAL ARTICLE published 30 June 2001 in Communications in Partial Differential Equations

Authors: Oleg Yu. Imanuvilov | Masahiro Yamamoto

Construction of self-dual codes with an automorphism of order $p$

JOURNAL ARTICLE published 2011 in Advances in Mathematics of Communications

Authors: Hyun Jin Kim | ,Department of Mathematics, Yonsei University, 134 Shinchon-dong, Seodaemun-Gu, Seoul 120-749 | Heisook Lee | June Bok Lee | Yoonjin Lee | ,Department of Mathematics, Ewha Womans University, 11-1 Daehyun-Dong, Seodaemun-Gu, Seoul, 120-750

The Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with certain potentials

JOURNAL ARTICLE published 2018 in Communications on Pure & Applied Analysis

Authors: Woocheol Choi | ,Department of Mathematics Education, Incheon National University, Incheon 22012, Republic of Korea | Yong-Cheol Kim | ,Department of Mathematics Education, Korea University, Seoul 02841, Republic of Korea