2014.03.24 19:13
실적년도 | 2011 년 |
---|---|
논문구분 | 국외 |
총저자 | Seung-Yeal Ha, |
학술지명 | Mathematical Models and Methods in Applied Sciences |
권(Vol.) | 22 |
호(No.) | 8 |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | |
비고 |
We discuss a first-order Cucker-Smale type consensus model with attractive and repulsive interactions and present upper and lower bound estimates on the number of asymptotic point-clusters depending on the relative ranges of interactions and coupling strength.
When the number of agents approaches infinity, we introduce a scalar conservation law with a nonlocal flux for a macroscopic description. We show that the corresponding conservation law admits a classical solution for sufficiently smooth initial data, which illustrates the shock avoidance effect due to the non-locality of the interactions. We also study the dynamics of special Dirac-comb type solutions consisting of two and three point-clusters.
Eunhee Jeong,Jeong-Han Kang,Kyungkeun Kang
실적년도 | 총저자 | Subject | 학술지명 |
---|---|---|---|
2015년 | Eungil Ko, Muneo Cho, Ji Eun Lee | On m-complex symmetric operators | Mediterranean Journal of Mathematics |
2015년 | Eungil Ko, Sungeun Jung, Ji Eun Lee | Remarks on complex symmetric operators | Mediterranean Journal of Mathematics |
2012년 | Sanghyuk Lee, Andreas Seeger | Lebesgue space estimates for a class of Fourier integral operators associated with wave propagation | Mathematische Nachrichten |
2015년 | Eungil Ko, Sungeun Jung, shinhea Park | Subscalarity of operator transforms | Mathematische Nachrichten |
2014년 | Dongho Chae | Euler’s equations and the maximum principle | Mathematische Annalen |
2014년 | Dongho Chae, Tai-Peng Tsai | On discretely self-similar solutions of the euler equations | Mathematical Research Letters |
2011 년 | Seung-Yeal Ha, Moon- Bruno Rubino | A class of interacting particle systems on the infinite cylinder with flocking phenomena | Mathematical Models and Methods in Applied Sciences |
2011 년 | Seung-Yeal Ha, | EMERGENCE OF MULTI-CLUSTER CONFIGURATIONS FROM ATTRACTIVE AND REPULSIVE INTERACTIONS | Mathematical Models and Methods in Applied Sciences |
2014년 | Seung-Yeal Ha, Moon-Jin Kang, Bongsuk Kwon | A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid | Mathematical Models and Methods in Applied Sciences |
2015 | Ensil Kang, Eun Heui Kim Jihoon Lee | Traveling wave solutions for the combustion model of a shear flow in a cylinder | Mathematical Methods in the sciences |
2014 | R. Curto, I.S. Hwang, W.Y. Lee | Hyponormality of bounded-type Toeplitz operators | Mathematische Narichten |
2011 년 | 김용철,이기암 | Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels | Manuscripta mathematica |
2014년 | Sun-Sig Byun, Yumi Cho | Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains | manuscripta mathematatica |
2010 년 | 정일봉 | Hyperexpansive completion problem via alternating sequences; an application to subnormality | Linear algebra and its applications |
2011 년 | Dong-O Kang Woo Young Lee | A criterion on the hyponormality of Toeplitz operators with polynomial symbols via Schur numbers | Linear Algebra and Its Applications |
2011 년 | chu-hee cho, kyunguk Na | Boundedness of Berezin transform on Herz spaces | Journal of the Korean Mathematical Society |
2010 년 | Panki Kim Zhen-Qing Chen | Heat kernel estimates for the Dirichlet fractional Laplacian | Journal of the European Mathematical society |
2012년 | Kil-Chan Ha, Seung-Hyeok Kye | Entanglement witnesses arising from Choi type positive linear maps | Journal of Physics A: Mathematical and Theoretical |
2014년 | Sun-Ho Choi, Seung-Yeal Ha | Quantum synchronization of the Schrödinger–Lohe model | Journal of Physics A: Mathematical and Theoretical |
2014년 | Kil-Chan Ha, Seung-Hyeok Kye | Multi-partite separable states with unique decompositions and construction of three qubit entanglement with positive partial transpose | Journal of Physics A: Mathematical and Theoretical |