Cho, Hangjun; Ha, Seung-Yeal; Kang, Myeongju Continuum limit of the lattice Lohe group model and emergent dynamics. (English) Zbl 1527.34061 Math. Methods Appl. Sci. 46, No. 8, 9783-9818 (2023). MSC: 34C15 45J05 82C20 82C21 PDFBibTeX XMLCite \textit{H. Cho} et al., Math. Methods Appl. Sci. 46, No. 8, 9783--9818 (2023; Zbl 1527.34061) Full Text: DOI
Ahn, Hyunjin; Byeon, Junhyeok; Ha, Seung-Yeal; Yoon, Jaeyoung Asymptotic tracking of a point cloud moving on Riemannian manifolds. (English) Zbl 1523.34045 SIAM J. Control Optim. 61, No. 4, 2379-2406 (2023). MSC: 34C40 34C60 92D50 82C22 34D05 34H05 PDFBibTeX XMLCite \textit{H. Ahn} et al., SIAM J. Control Optim. 61, No. 4, 2379--2406 (2023; Zbl 1523.34045) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Ryoo, Seung-Yeon Correction to: “Emergent dynamics of a generalized Lohe model on some class of Lie groups”. (English) Zbl 1517.82024 J. Stat. Phys. 190, No. 8, Paper No. 136, 1 p. (2023). MSC: 82C10 22E70 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 190, No. 8, Paper No. 136, 1 p. (2023; Zbl 1517.82024) Full Text: DOI
Ha, Seung-Yeal; Ryoo, Seung-Yeon Correction to: “On the emergence and orbital stability of phase-locked states for the Lohe model”. (English) Zbl 1517.82025 J. Stat. Phys. 190, No. 8, Paper No. 135, 1 p. (2023). MSC: 82C10 82C22 60K35 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{S.-Y. Ryoo}, J. Stat. Phys. 190, No. 8, Paper No. 135, 1 p. (2023; Zbl 1517.82025) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Ryoo, Seung-Yeon Correction to: “On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds”. (English) Zbl 1517.82029 J. Stat. Phys. 190, No. 8, Paper No. 134, 1 p. (2023). MSC: 82C22 15B48 35Q82 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 190, No. 8, Paper No. 134, 1 p. (2023; Zbl 1517.82029) Full Text: DOI
Byeon, Junhyeok; Ha, Seung-Yeal; Kim, Jeongho Emergence of state-locking for the first-order nonlinear consensus model on the real line. (English) Zbl 1514.34081 Kinet. Relat. Models 16, No. 3, 423-457 (2023). MSC: 34D05 34D09 82C22 PDFBibTeX XMLCite \textit{J. Byeon} et al., Kinet. Relat. Models 16, No. 3, 423--457 (2023; Zbl 1514.34081) Full Text: DOI
Cho, Hangjun; Ha, Seung-Yeal; Kim, Dohyun Emergent behaviors of two attractively coupled swarm sphere models with frustration. (English) Zbl 1519.34047 Discrete Contin. Dyn. Syst., Ser. B 28, No. 9, 4864-4897 (2023). MSC: 34C60 34C15 34D05 82C22 92D50 PDFBibTeX XMLCite \textit{H. Cho} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 9, 4864--4897 (2023; Zbl 1519.34047) Full Text: DOI
Ha, Seung-Yeal; Kim, Dohyun Uniform stability and emergent dynamics of particle and kinetic Lohe matrix models. (English) Zbl 07686111 J. Differ. Equations 364, 181-243 (2023). MSC: 82C10 82C22 34C15 34D06 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{D. Kim}, J. Differ. Equations 364, 181--243 (2023; Zbl 07686111) Full Text: DOI
Ahn, Hyunjin; Byeon, Junhyeok; Ha, Seung-Yeal; Yoon, Jaeyoung On the relativistic flocks over the unit sphere and the hyperboloid in a bonding force field. (English) Zbl 1511.82027 J. Math. Phys. 64, No. 1, Article ID 012705, 28 p. (2023). MSC: 82C22 92D50 35Q35 35Q92 35Q31 PDFBibTeX XMLCite \textit{H. Ahn} et al., J. Math. Phys. 64, No. 1, Article ID 012705, 28 p. (2023; Zbl 1511.82027) Full Text: DOI
Ahn, Hyunjin; Byeon, Junhyeok; Ha, Seung-Yeal Thermodynamic Cucker-Smale ensemble with unit speed and its sufficient framework for collision avoidance. arXiv:2304.00872 Preprint, arXiv:2304.00872 [math.CA] (2023). MSC: 82C10 82C22 35B37 BibTeX Cite \textit{H. Ahn} et al., ``Thermodynamic Cucker-Smale ensemble with unit speed and its sufficient framework for collision avoidance'', Preprint, arXiv:2304.00872 [math.CA] (2023) Full Text: arXiv OA License
Ahn, Hyunjin; Byeon, Junhyeok; Ha, Seung-Yeal; Yoon, Jaeyoung Interplay of geometric constraint and bonding force in the emergent behaviors of relativistic Cucker-Smale flocks. arXiv:2301.07324 Preprint, arXiv:2301.07324 [math.DS] (2023). MSC: 82C05 82C22 BibTeX Cite \textit{H. Ahn} et al., ``Interplay of geometric constraint and bonding force in the emergent behaviors of relativistic Cucker-Smale flocks'', Preprint, arXiv:2301.07324 [math.DS] (2023) Full Text: arXiv OA License
Bellomo, N.; Ha, S.-Y.; Outada, N.; Yoon, J. On the mathematical theory of behavioral swarms emerging collective dynamics. (English) Zbl 1515.92094 Math. Models Methods Appl. Sci. 32, No. 14, 2927-2959 (2022). MSC: 92D50 82C22 91D10 92D25 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 32, No. 14, 2927--2959 (2022; Zbl 1515.92094) Full Text: DOI
Byeon, Junhyeok; Ha, Seung-Yeal; Kim, Jeongho Asymptotic flocking dynamics of a relativistic Cucker-Smale flock under singular communications. (English) Zbl 1507.82053 J. Math. Phys. 63, No. 1, Article ID 012702, 17 p. (2022). MSC: 82C22 82C44 PDFBibTeX XMLCite \textit{J. Byeon} et al., J. Math. Phys. 63, No. 1, Article ID 012702, 17 p. (2022; Zbl 1507.82053) Full Text: DOI
Ha, Seung-Yeal; Hwang, Gyuyoung; Kim, Dohyun On the complete aggregation of the Wigner-Lohe model for identical potentials. (English) Zbl 1493.82004 Netw. Heterog. Media 17, No. 5, 665-686 (2022). MSC: 82C10 82C22 35B40 35Q40 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Netw. Heterog. Media 17, No. 5, 665--686 (2022; Zbl 1493.82004) Full Text: DOI
Choi, Hyungjun; Ha, Seung-Yeal; Park, Hansol Emergent behaviors of discrete Lohe aggregation flows. (English) Zbl 1496.82012 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 6083-6123 (2022). MSC: 82C10 82C22 82M20 82M99 17B81 PDFBibTeX XMLCite \textit{H. Choi} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 6083--6123 (2022; Zbl 1496.82012) Full Text: DOI arXiv
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol Emergent behaviors of rotation matrix flocks. (English) Zbl 1513.70057 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1382-1425 (2022). MSC: 70G60 82C10 PDFBibTeX XMLCite \textit{R. C. Fetecau} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1382--1425 (2022; Zbl 1513.70057) Full Text: DOI arXiv
Ha, Seung-Yeal; Kim, Dohyun; Park, Hansol Existence and emergent dynamics of quadratically separable states to the Lohe tensor model. (English) Zbl 1490.82014 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1166-1208 (2022). MSC: 82C10 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1166--1208 (2022; Zbl 1490.82014) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Kim, Dohyun; Kim, Jeongho; Yang, Insoon Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: mean-field limit and convergence. (English) Zbl 1485.35361 Math. Models Methods Appl. Sci. 32, No. 3, 533-617 (2022). MSC: 35Q93 49N80 60H30 82C31 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 32, No. 3, 533--617 (2022; Zbl 1485.35361) Full Text: DOI
Ha, Seung-Yeal; Hwang, Gyuyoung; Park, Hansol Emergent behaviors of Lohe Hermitian sphere particles under time-delayed interactions. (English) Zbl 1478.82008 Netw. Heterog. Media 16, No. 3, 459-492 (2021). MSC: 82C10 82C22 35Q40 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Netw. Heterog. Media 16, No. 3, 459--492 (2021; Zbl 1478.82008) Full Text: DOI arXiv
Ahn, Hyunjin; Ha, Seung-Yeal; Shim, Woojoo Emergent behaviors of the discrete thermodynamic Cucker-Smale model on complete Riemannian manifolds. (English) Zbl 1492.35356 J. Math. Phys. 62, No. 12, Article ID 122701, 29 p. (2021). MSC: 35Q92 92B25 92B15 53C80 58D17 82C22 35R01 PDFBibTeX XMLCite \textit{H. Ahn} et al., J. Math. Phys. 62, No. 12, Article ID 122701, 29 p. (2021; Zbl 1492.35356) Full Text: DOI
Ahn, Hyunjin; Ha, Seung-Yeal; Kim, Jeongho Uniform stability of the relativistic Cucker-Smale model and its application to a mean-field limit. (English) Zbl 1484.82021 Commun. Pure Appl. Anal. 20, No. 12, 4209-4237 (2021). MSC: 82C10 82C22 74A25 92D25 92C15 PDFBibTeX XMLCite \textit{H. Ahn} et al., Commun. Pure Appl. Anal. 20, No. 12, 4209--4237 (2021; Zbl 1484.82021) Full Text: DOI
Ahn, Hyunjin; Ha, Seung-Yeal; Shim, Woojoo Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds. (English) Zbl 1476.35190 Kinet. Relat. Models 14, No. 2, 323-351 (2021). MSC: 35Q35 76Z10 80A05 82C22 92D50 PDFBibTeX XMLCite \textit{H. Ahn} et al., Kinet. Relat. Models 14, No. 2, 323--351 (2021; Zbl 1476.35190) Full Text: DOI
Ha, Seung-Yeal; Kang, Myeongju; Shim, Woojoo Emergent asymptotic patterns for the discrete and continuous Winfree models with inertia. (English) Zbl 1475.34030 Commun. Math. Sci. 19, No. 8, 2217-2248 (2021). MSC: 34C15 34D06 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Commun. Math. Sci. 19, No. 8, 2217--2248 (2021; Zbl 1475.34030) Full Text: DOI
Ahn, Hyunjin; Ha, Seung-Yeal; Park, Hansol; Shim, Woojoo Emergent behaviors of Cucker-Smale flocks on the hyperboloid. (English) Zbl 1479.82041 J. Math. Phys. 62, No. 8, Article ID 082702, 22 p. (2021). MSC: 82C22 35Q70 82C10 70H40 PDFBibTeX XMLCite \textit{H. Ahn} et al., J. Math. Phys. 62, No. 8, Article ID 082702, 22 p. (2021; Zbl 1479.82041) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Park, Hansol; Ruggeri, Tommaso; Shim, Woojoo Emergent behaviors of the continuum thermodynamic Kuramoto model in a large coupling regime. (English) Zbl 1484.82029 J. Differ. Equations 300, 519-564 (2021). MSC: 82C21 82C20 82C22 35B40 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Differ. Equations 300, 519--564 (2021; Zbl 1484.82029) Full Text: DOI
Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon Uniform error estimates for the random batch method to the first-order consensus models with antisymmetric interaction kernels. (English) Zbl 1467.82056 Stud. Appl. Math. 146, No. 4, 983-1022 (2021). MSC: 82C22 82M60 65C20 PDFBibTeX XMLCite \textit{D. Ko} et al., Stud. Appl. Math. 146, No. 4, 983--1022 (2021; Zbl 1467.82056) Full Text: DOI
Ha, Seung-Yeal; Kang, Myeongju; Park, Hansol; Ruggeri, Tommaso; Shim, Woojoo Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model. (English) Zbl 1473.82019 Q. Appl. Math. 79, No. 3, 445-478 (2021). MSC: 82C20 82C22 82C40 34C15 35Q83 35Q40 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Q. Appl. Math. 79, No. 3, 445--478 (2021; Zbl 1473.82019) Full Text: DOI
Ha, Seung-Yeal; Park, Hansol Emergent behaviors of the generalized Lohe matrix model. (English) Zbl 1467.82053 Discrete Contin. Dyn. Syst., Ser. B 26, No. 8, 4227-4261 (2021). MSC: 82C22 81V70 82C10 35B36 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Park}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 8, 4227--4261 (2021; Zbl 1467.82053) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Park, Hansol Emergent dynamics of the Lohe Hermitian sphere model with frustration. (English) Zbl 1467.82040 J. Math. Phys. 62, No. 5, Article ID 052701, 26 p. (2021). MSC: 82C10 82C22 15A72 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Math. Phys. 62, No. 5, Article ID 052701, 26 p. (2021; Zbl 1467.82040) Full Text: DOI arXiv
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun Synchronization conditions of a mixed Kuramoto ensemble in attractive and repulsive couplings. (English) Zbl 1467.82052 J. Nonlinear Sci. 31, No. 2, Paper No. 39, 34 p. (2021). MSC: 82C22 34C15 34D06 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 39, 34 p. (2021; Zbl 1467.82052) Full Text: DOI
Ha, Seung-Yeal; Kim, Dohyun; Park, Hansol On the completely separable state for the Lohe tensor model. (English) Zbl 1467.82041 J. Stat. Phys. 183, No. 1, Paper No. 9, 34 p. (2021). MSC: 82C10 82C22 35B35 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 183, No. 1, Paper No. 9, 34 p. (2021; Zbl 1467.82041) Full Text: DOI
Ding, Zhiyan; Ha, Seung-Yeal; Jin, Shi A local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs. (English) Zbl 1466.35341 Q. Appl. Math. 79, No. 2, 229-264 (2021). MSC: 35Q82 82C40 82C70 35L02 92B25 35R60 PDFBibTeX XMLCite \textit{Z. Ding} et al., Q. Appl. Math. 79, No. 2, 229--264 (2021; Zbl 1466.35341) Full Text: DOI
Ha, Seung-Yeal; Jung, Jinwook; Röckner, Michael Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. (English) Zbl 1460.35345 J. Differ. Equations 284, 39-82 (2021). MSC: 35Q82 82C40 35Q92 92C15 35R60 60H40 35D35 35B40 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Differ. Equations 284, 39--82 (2021; Zbl 1460.35345) Full Text: DOI arXiv
Ha, Seung-Yeal; Park, Hansol On the Schrödinger-Lohe hierarchy for aggregation and its emergent dynamics. (English) Zbl 1462.82021 J. Stat. Phys. 181, No. 6, 2150-2190 (2020). MSC: 82C10 82C22 35Q41 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Park}, J. Stat. Phys. 181, No. 6, 2150--2190 (2020; Zbl 1462.82021) Full Text: DOI arXiv
Ha, Seung-Yeal; Park, Hansol; Ruggeri, Tommaso; Shim, Woojoo Emergent behaviors of thermodynamic Kuramoto ensemble on a regular ring lattice. (English) Zbl 1462.82026 J. Stat. Phys. 181, No. 3, 917-943 (2020). MSC: 82C20 82C22 34C15 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 181, No. 3, 917--943 (2020; Zbl 1462.82026) Full Text: DOI arXiv
Ha, Seung-Yeal; Kim, Dohyun; Park, Jinyeong Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings. (English) Zbl 1462.82040 Commun. Pure Appl. Anal. 19, No. 9, 4621-4654 (2020). MSC: 82C22 70E55 92C42 92B20 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Commun. Pure Appl. Anal. 19, No. 9, 4621--4654 (2020; Zbl 1462.82040) Full Text: DOI
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine Towards a mathematical theory of behavioral swarms. (English) Zbl 1459.82166 ESAIM, Control Optim. Calc. Var. 26, Paper No. 125, 19 p. (2020). MSC: 82C22 92C15 92D50 91D10 PDFBibTeX XMLCite \textit{N. Bellomo} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 125, 19 p. (2020; Zbl 1459.82166) Full Text: DOI arXiv
Ha, Seung-Yeal; Li, Zhuchun; Zhang, Xiongtao On the critical exponent of the one-dimensional Cucker-Smale model on a general graph. (English) Zbl 1458.34098 Math. Models Methods Appl. Sci. 30, No. 9, 1653-1703 (2020). MSC: 34D06 05C20 82C20 70F99 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 9, 1653--1703 (2020; Zbl 1458.34098) Full Text: DOI
Ha, Seung-Yeal; Park, Hansol Complete aggregation of the Lohe tensor model with the same free flow. (English) Zbl 1454.82026 J. Math. Phys. 61, No. 10, 102702, 27 p. (2020). MSC: 82C22 82C10 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Park}, J. Math. Phys. 61, No. 10, 102702, 27 p. (2020; Zbl 1454.82026) Full Text: DOI arXiv
Ha, Seung-Yeal; Park, Hansol From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics. (English) Zbl 1441.82011 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1312-1342 (2020). MSC: 82C10 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Park}, SIAM J. Appl. Dyn. Syst. 19, No. 2, 1312--1342 (2020; Zbl 1441.82011) Full Text: DOI arXiv
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun Emergence of bicluster aggregation for the swarm sphere model with attractive-repulsive couplings. (English) Zbl 1447.82022 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1225-1270 (2020). MSC: 82C22 35B36 34C15 34D06 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 1225--1270 (2020; Zbl 1447.82022) Full Text: DOI
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun Emergent dynamics of an orientation flocking model for multi-agent system. (English) Zbl 1436.82017 Discrete Contin. Dyn. Syst. 40, No. 4, 2037-2060 (2020). MSC: 82C22 82C10 34C15 92C15 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Discrete Contin. Dyn. Syst. 40, No. 4, 2037--2060 (2020; Zbl 1436.82017) Full Text: DOI
Ha, Seung-Yeal; Park, Hansol Emergent behaviors of Lohe tensor flocks. (English) Zbl 1437.82013 J. Stat. Phys. 178, No. 5, 1268-1292 (2020). MSC: 82C10 82C22 82B26 35Q82 15A69 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Park}, J. Stat. Phys. 178, No. 5, 1268--1292 (2020; Zbl 1437.82013) Full Text: DOI arXiv
Ha, Seung-Yeal; Kim, Doheon; Kim, Dohyun; Park, Hansol; Shim, Woojoo Emergent dynamics of the Lohe matrix ensemble on a network under time-delayed interactions. (English) Zbl 1433.82007 J. Math. Phys. 61, No. 1, 012702, 23 p. (2020). MSC: 82C10 82C22 81V70 34C15 05C90 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Math. Phys. 61, No. 1, 012702, 23 p. (2020; Zbl 1433.82007) Full Text: DOI
Ha, Seung-Yeal; Park, Jinyeong; Zhang, Xiongtao A global well-posedness and asymptotic dynamics of the kinetic Winfree equation. (English) Zbl 1434.82056 Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1317-1344 (2020). MSC: 82C22 92B25 81V70 34D05 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1317--1344 (2020; Zbl 1434.82056) Full Text: DOI
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon On the Cucker-Smale ensemble with the \(q\)-closest neighbors in a self-consistent temperature field. (English) Zbl 1434.82055 SIAM J. Control Optim. 58, No. 1, 368-392 (2020). MSC: 82C22 39A12 34D05 PDFBibTeX XMLCite \textit{J.-G. Dong} et al., SIAM J. Control Optim. 58, No. 1, 368--392 (2020; Zbl 1434.82055) Full Text: DOI
Ha, Seung-Yeal; Kim, Jeongho; Kuchling, Peter; Kutoviy, Oleksandr Infinite particle systems with collective behaviour and related mesoscopic equations. (English) Zbl 1447.82023 J. Math. Phys. 60, No. 12, 122704, 18 p. (2019). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C22 82C40 81V70 35Q82 37H05 60G57 35Q84 82C31 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Math. Phys. 60, No. 12, 122704, 18 p. (2019; Zbl 1447.82023) Full Text: DOI
Ha, Seung-Yeal; Kim, Doheon; Kim, Dohyun; Shim, Woojoo Flocking dynamics of the inertial spin model with a multiplicative communication weight. (English) Zbl 1507.82054 J. Nonlinear Sci. 29, No. 4, 1301-1342 (2019). MSC: 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Nonlinear Sci. 29, No. 4, 1301--1342 (2019; Zbl 1507.82054) Full Text: DOI
Golse, François; Ha, Seung-Yeal A mean-field limit of the Lohe matrix model and emergent dynamics. (English) Zbl 1425.37046 Arch. Ration. Mech. Anal. 234, No. 3, 1445-1491 (2019). MSC: 37L05 82C40 35Q83 35Q82 PDFBibTeX XMLCite \textit{F. Golse} and \textit{S.-Y. Ha}, Arch. Ration. Mech. Anal. 234, No. 3, 1445--1491 (2019; Zbl 1425.37046) Full Text: DOI arXiv
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun Emergence of aggregation in the swarm sphere model with adaptive coupling laws. (English) Zbl 1421.82019 Kinet. Relat. Models 12, No. 2, 411-444 (2019). MSC: 82C10 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Kinet. Relat. Models 12, No. 2, 411--444 (2019; Zbl 1421.82019) Full Text: DOI
Ha, Seung-Yeal; Kim, Dohyun Emergent behavior of a second-order Lohe matrix model on the unitary group. (English) Zbl 1420.82004 J. Stat. Phys. 175, No. 5, 904-931 (2019). MSC: 82C10 82C22 34C15 34D06 81V70 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{D. Kim}, J. Stat. Phys. 175, No. 5, 904--931 (2019; Zbl 1420.82004) Full Text: DOI
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun Particle and kinetic models for swarming particles on a sphere and stability properties. (English) Zbl 1408.82005 J. Stat. Phys. 174, No. 3, 622-655 (2019). MSC: 82C22 74A25 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 174, No. 3, 622--655 (2019; Zbl 1408.82005) Full Text: DOI
Ha, Seung-Yeal; Kim, Jeongho; Min, Chan Ho; Ruggeri, Tommaso; Zhang, Xiongtao Uniform stability and mean-field limit of a thermodynamic Cucker-Smale model. (English) Zbl 1430.82010 Q. Appl. Math. 77, No. 1, 131-176 (2019). MSC: 82C22 70F99 34D20 35Q83 60B10 92D50 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Q. Appl. Math. 77, No. 1, 131--176 (2019; Zbl 1430.82010) Full Text: DOI
Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. (English) Zbl 1459.82253 Netw. Heterog. Media 13, No. 3, 379-407 (2018). MSC: 82C35 70F45 92D50 PDFBibTeX XMLCite \textit{Y.-P. Choi} et al., Netw. Heterog. Media 13, No. 3, 379--407 (2018; Zbl 1459.82253) Full Text: DOI
Ha, Seung-Yeal; Zhang, Xiongtao Uniform-in-time transition from discrete dynamics to continuous dynamics in the Cucker-Smale flocking. (English) Zbl 1451.92344 Math. Models Methods Appl. Sci. 28, No. 9, 1699-1735 (2018). MSC: 92D50 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{X. Zhang}, Math. Models Methods Appl. Sci. 28, No. 9, 1699--1735 (2018; Zbl 1451.92344) Full Text: DOI
Ha, Seung-Yeal; Park, Jinyeong; Zhang, Xiongtao A first-order reduction of the Cucker-Smale model on the real line and its clustering dynamics. (English) Zbl 1459.82178 Commun. Math. Sci. 16, No. 7, 1907-1931 (2018). MSC: 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Commun. Math. Sci. 16, No. 7, 1907--1931 (2018; Zbl 1459.82178) Full Text: DOI
Huh, Hyungjin; Ha, Seung-Yeal; Kim, Dohyun Asymptotic behavior and stability for the Schrödinger-Lohe model. (English) Zbl 1402.35232 J. Math. Phys. 59, No. 10, 102701, 21 p. (2018). MSC: 35Q40 82C22 82D20 35B40 93D20 35B10 PDFBibTeX XMLCite \textit{H. Huh} et al., J. Math. Phys. 59, No. 10, 102701, 21 p. (2018; Zbl 1402.35232) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Ryoo, Seung-Yeon On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds. (English) Zbl 1407.82029 J. Stat. Phys. 172, No. 5, 1427-1478 (2018); correction ibid. 190, No. 8, Paper No. 134, 1 p. (2023). MSC: 82C22 15B48 35Q82 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 172, No. 5, 1427--1478 (2018; Zbl 1407.82029) Full Text: DOI
Antonelli, Paolo; Ha, Seung-Yeal; Kim, Dohyun; Marcati, Pierangelo The Wigner-Lohe model for quantum synchronization and its emergent dynamics. (English) Zbl 1379.35263 Netw. Heterog. Media 12, No. 3, 403-416 (2017). MSC: 35Q40 82C22 93D20 35B40 76Y05 81Q05 PDFBibTeX XMLCite \textit{P. Antonelli} et al., Netw. Heterog. Media 12, No. 3, 403--416 (2017; Zbl 1379.35263) Full Text: DOI arXiv
Huh, Hyungjin; Ha, Seung-Yeal; Kim, Dohyun Emergent behaviors of the Schrödinger-Lohe model on cooperative-competitive networks. (English) Zbl 1376.82045 J. Differ. Equations 263, No. 12, 8295-8321 (2017). MSC: 82C10 82C22 35B40 92D25 PDFBibTeX XMLCite \textit{H. Huh} et al., J. Differ. Equations 263, No. 12, 8295--8321 (2017; Zbl 1376.82045) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Ryoo, Seung-Yeon Emergent dynamics of a generalized Lohe model on some class of Lie groups. (English) Zbl 1376.82044 J. Stat. Phys. 168, No. 1, 171-207 (2017); correction ibid. 190, No. 8, Paper No. 136, 1 p. (2023). MSC: 82C10 22E70 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Stat. Phys. 168, No. 1, 171--207 (2017; Zbl 1376.82044) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Zhang, Xiongtao; Zhang, Yinglong Time-asymptotic interactions of two ensembles of Cucker-Smale flocking particles. (English) Zbl 1383.82036 J. Math. Phys. 58, No. 7, 071509, 26 p. (2017). MSC: 82C22 35L65 35Q35 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Math. Phys. 58, No. 7, 071509, 26 p. (2017; Zbl 1383.82036) Full Text: DOI
Huh, Hyungjin; Ha, Seung-Yeal Dynamical system approach to synchronization of the coupled Schrödinger-Lohe system. (English) Zbl 1360.82047 Q. Appl. Math. 75, No. 3, 555-579 (2017). MSC: 82C10 82C22 35B35 PDFBibTeX XMLCite \textit{H. Huh} and \textit{S.-Y. Ha}, Q. Appl. Math. 75, No. 3, 555--579 (2017; Zbl 1360.82047) Full Text: DOI
Ha, Seung-Yeal; Ruggeri, Tommaso Emergent dynamics of a thermodynamically consistent particle model. (English) Zbl 1415.35228 Arch. Ration. Mech. Anal. 223, No. 3, 1397-1425 (2017). Reviewer: Artyom Andronov (Saransk) MSC: 35Q35 80A20 76P05 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{T. Ruggeri}, Arch. Ration. Mech. Anal. 223, No. 3, 1397--1425 (2017; Zbl 1415.35228) Full Text: DOI
Choi, Sun-Ho; Cho, Junghee; Ha, Seung-Yeal Practical quantum synchronization for the Schrödinger-Lohe system. (English) Zbl 1343.82030 J. Phys. A, Math. Theor. 49, No. 20, Article ID 205203, 17 p. (2016). MSC: 82C22 82C10 PDFBibTeX XMLCite \textit{S.-H. Choi} et al., J. Phys. A, Math. Theor. 49, No. 20, Article ID 205203, 17 p. (2016; Zbl 1343.82030) Full Text: DOI
Bae, Hyeong-Ohk; Choi, Young-Pil; Ha, Seung-Yeal; Kang, Moon-Jin Global existence of strong solutions to the Cucker-Smale-Stokes system. (English) Zbl 1383.35152 J. Math. Fluid Mech. 18, No. 2, 381-396 (2016). MSC: 35Q35 35D35 35Q82 35Q83 76D07 82C22 PDFBibTeX XMLCite \textit{H.-O. Bae} et al., J. Math. Fluid Mech. 18, No. 2, 381--396 (2016; Zbl 1383.35152) Full Text: DOI
Ha, Seung-Yeal; Ryoo, Seung-Yeon On the emergence and orbital stability of phase-locked states for the Lohe model. (English) Zbl 1359.82013 J. Stat. Phys. 163, No. 2, 411-439 (2016); correction ibid. 190, No. 8, Paper No. 135, 1 p. (2023). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C10 82C22 60K35 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{S.-Y. Ryoo}, J. Stat. Phys. 163, No. 2, 411--439 (2016; Zbl 1359.82013) Full Text: DOI
Choi, Sun-Ho; Ha, Seung-Yeal Quantum synchronization of the Schrödinger-Lohe model. (English) Zbl 1303.35079 J. Phys. A, Math. Theor. 47, No. 35, Article ID 355104, 16 p. (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q40 35Q41 82C10 82C22 PDFBibTeX XMLCite \textit{S.-H. Choi} and \textit{S.-Y. Ha}, J. Phys. A, Math. Theor. 47, No. 35, Article ID 355104, 16 p. (2014; Zbl 1303.35079) Full Text: DOI
Carrillo, José A.; Choi, Young-Pil; Ha, Seung-Yeal; Kang, Moon-Jin; Kim, Yongduck Contractivity of transport distances for the kinetic Kuramoto equation. (English) Zbl 1303.82016 J. Stat. Phys. 156, No. 2, 395-415 (2014). MSC: 82C26 92D25 82C70 92B25 35Q82 35Q92 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Stat. Phys. 156, No. 2, 395--415 (2014; Zbl 1303.82016) Full Text: DOI arXiv
Chi, Dongpyo; Choi, Sun-Ho; Ha, Seung-Yeal Emergent behaviors of a holonomic particle system on a sphere. (English) Zbl 1325.70040 J. Math. Phys. 55, No. 5, 052703, 18 p. (2014). MSC: 70F20 34D06 82C20 PDFBibTeX XMLCite \textit{D. Chi} et al., J. Math. Phys. 55, No. 5, 052703, 18 p. (2014; Zbl 1325.70040) Full Text: DOI
Ha, Seung-Yeal; Xiao, Qinghua Uniform stability and the propagation of regularity for the relativistic Boltzmann equation. (English) Zbl 1314.82023 SIAM J. Math. Anal. 46, No. 1, 165-191 (2014). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C05 35B35 35Q82 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{Q. Xiao}, SIAM J. Math. Anal. 46, No. 1, 165--191 (2014; Zbl 1314.82023) Full Text: DOI
Kang, Jeong-Han; Ha, Seung-Yeal; Kang, Kyungkeun; Jeong, Eunhee How do cultural classes emerge from assimilation and distinction? An extension of the Cucker-Smale flocking model. (English) Zbl 1307.91150 J. Math. Sociol. 38, No. 1, 47-71 (2014). Reviewer: Fatima T. Adylova (Tashkent) MSC: 91D10 91C20 92D50 82C22 PDFBibTeX XMLCite \textit{J.-H. Kang} et al., J. Math. Sociol. 38, No. 1, 47--71 (2014; Zbl 1307.91150) Full Text: DOI
Ha, Seung-Yeal; Xiao, Qinghua; Xiong, Linjie; Zhao, Huijiang \(L^2\)-stability of the Vlasov-Maxwell-Boltzmann system near global Maxwellians. (English) Zbl 1380.82038 J. Math. Phys. 54, No. 12, 121509, 17 p. (2013). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Math. Phys. 54, No. 12, 121509, 17 p. (2013; Zbl 1380.82038) Full Text: DOI
Ha, Seung-Yeal; Noh, Se Eun Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures. (English) Zbl 1213.35099 Q. Appl. Math. 68, No. 4, 671-699 (2010). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B40 35B65 76P05 82C21 35Q20 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{S. E. Noh}, Q. Appl. Math. 68, No. 4, 671--699 (2010; Zbl 1213.35099) Full Text: DOI Link
Ha, Seung-Yeal; Levy, Doron Particle, kinetic and fluid models for phototaxis. (English) Zbl 1166.92006 Discrete Contin. Dyn. Syst., Ser. B 12, No. 1, 77-108 (2009). MSC: 92C17 82D99 82C22 35Q92 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{D. Levy}, Discrete Contin. Dyn. Syst., Ser. B 12, No. 1, 77--108 (2009; Zbl 1166.92006) Full Text: DOI
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. (English) Zbl 1192.34067 Commun. Math. Sci. 7, No. 2, 453-469 (2009). Reviewer: Andrew Dale (Durban) MSC: 34F05 60H10 82C22 34D05 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Commun. Math. Sci. 7, No. 2, 453--469 (2009; Zbl 1192.34067) Full Text: DOI
Ha, Seung-Yeal; Liu, Jian-Guo A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. (English) Zbl 1177.92003 Commun. Math. Sci. 7, No. 2, 297-325 (2009). MSC: 92C17 82C22 92D50 37N25 82D99 34A99 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{J.-G. Liu}, Commun. Math. Sci. 7, No. 2, 297--325 (2009; Zbl 1177.92003) Full Text: DOI
Dubovski, P. B.; Ha, S.-Y. Existence, uniqueness and stability for spatially inhomogeneous Becker-Döring equations with diffusion and convection terms. (English) Zbl 1387.35104 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 461-493 (2008). MSC: 35F25 35B35 82C70 PDFBibTeX XMLCite \textit{P. B. Dubovski} and \textit{S. Y. Ha}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 461--493 (2008; Zbl 1387.35104) Full Text: DOI Numdam Numdam EuDML
Ha, Seung-Yeal; Lee, Ho Global well posedness of the relativistic Vlasov-Yukawa system with small data. (English) Zbl 1153.81369 J. Math. Phys. 48, No. 12, 123508, 19 p. (2007). MSC: 35Q75 35B35 82C10 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Lee}, J. Math. Phys. 48, No. 12, 123508, 19 p. (2007; Zbl 1153.81369) Full Text: DOI
Ha, Seung-Yeal Some recent results on the Boltzmann equation near vacuum. (English) Zbl 1132.82015 Bull. Inst. Math., Acad. Sin. (N.S.) 2, No. 2, 221-234 (2007). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{S.-Y. Ha}, Bull. Inst. Math., Acad. Sin. (N.S.) 2, No. 2, 221--234 (2007; Zbl 1132.82015)
Chae, Myeongju; Ha, Seung-Yeal; Hwang, Hyung Ju Time-asymptotic behavior of the Vlasov-Poisson-Boltzmann system near vacuum. (English) Zbl 1109.35018 J. Differ. Equations 230, No. 1, 71-85 (2006). MSC: 35B40 35F20 82C40 35Q60 PDFBibTeX XMLCite \textit{M. Chae} et al., J. Differ. Equations 230, No. 1, 71--85 (2006; Zbl 1109.35018) Full Text: DOI
Ha, Seung-Yeal; Yun, Seok-Bae Uniform \(L^{1}\)-stability estimate of the Boltzmann equation near a local Maxwellian. (English) Zbl 1108.82038 Physica D 220, No. 1, 79-97 (2006). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{S.-B. Yun}, Physica D 220, No. 1, 79--97 (2006; Zbl 1108.82038) Full Text: DOI
Ha, Seung-Yeal; Noh, Se Eun New a priori estimate for the Boltzmann-Enskog equation. (English) Zbl 1238.35099 Nonlinearity 19, No. 6, 1219-1232 (2006). MSC: 35Q35 35B45 82C40 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{S. E. Noh}, Nonlinearity 19, No. 6, 1219--1232 (2006; Zbl 1238.35099) Full Text: DOI
Chae, Myeongju; Ha, Seung-Yeal; Huh, Hyungjin Remarks on the repulsive Wigner-Poisson system. (English) Zbl 1112.82027 J. Math. Phys. 46, No. 11, 112103, 16 p. (2005). MSC: 82C10 35Q40 PDFBibTeX XMLCite \textit{M. Chae} et al., J. Math. Phys. 46, No. 11, 112103, 16 p. (2005; Zbl 1112.82027) Full Text: DOI
Ha, Seung-Yeal Nonlinear functionals of the Boltzmann equation and uniform stability estimates. (English) Zbl 1069.76048 J. Differ. Equations 215, No. 1, 178-205 (2005). MSC: 76P05 45K05 35F25 82C40 PDFBibTeX XMLCite \textit{S.-Y. Ha}, J. Differ. Equations 215, No. 1, 178--205 (2005; Zbl 1069.76048) Full Text: DOI
Ha, Seung-Yeal \(L^1\)-stability of the Boltzmann equation for Maxwellian molecules. (English) Zbl 1076.82042 Nonlinearity 18, No. 3, 981-1001 (2005). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 34D20 49K40 76P05 76E99 PDFBibTeX XMLCite \textit{S.-Y. Ha}, Nonlinearity 18, No. 3, 981--1001 (2005; Zbl 1076.82042) Full Text: DOI
Feldman, Mikhail; Ha, Seung-Yeal Nonlinear functionals of multi-D discrete velocity Boltzmann equations. (English) Zbl 1061.82024 J. Stat. Phys. 114, No. 3-4, 1015-1033 (2004). MSC: 82C40 76P05 45N05 45G15 PDFBibTeX XMLCite \textit{M. Feldman} and \textit{S.-Y. Ha}, J. Stat. Phys. 114, No. 3--4, 1015--1033 (2004; Zbl 1061.82024) Full Text: DOI
Ha, Seung-Yeal; Tzavaras, Athanasios E. \(L^1\) stability for the one-dimensional Broadwell model of a discrete velocity gas. (English) Zbl 1061.76077 Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 205-215 (2003). MSC: 76P05 82C40 35B35 35F25 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{A. E. Tzavaras}, in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 205--215 (2003; Zbl 1061.76077)