Sharp conditions to avoid collisions in singular Cucker–Smale interactions JA Carrillo, YP Choi, PB Mucha, J Peszek Nonlinear Analysis: Real World Applications 37, 317-328, 2017 | 122 | 2017 |
Existence of piecewise weak solutions of a discrete Cucker–Smale's flocking model with a singular communication weight J Peszek Journal of Differential Equations 257 (8), 2900-2925, 2014 | 92 | 2014 |
A collisionless singular Cucker--Smale model with decentralized formation control YP Choi, D Kalise, J Peszek, AA Peters SIAM Journal on Applied Dynamical Systems 18 (4), 1954-1981, 2019 | 89 | 2019 |
Discrete Cucker--Smale flocking model with a weakly singular weight J Peszek SIAM Journal on Mathematical Analysis 47 (5), 3671-3686, 2015 | 88 | 2015 |
The Cucker–Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness PB Mucha, J Peszek Archive for Rational Mechanics and Analysis 227, 273-308, 2018 | 82 | 2018 |
Singular cucker–smale dynamics P Minakowski, PB Mucha, J Peszek, E Zatorska Active Particles, Volume 2: Advances in Theory, Models, and Applications …, 2019 | 42 | 2019 |
Regular solutions to the fractional Euler alignment system in the Besov spaces framework R Danchin, PB Mucha, J Peszek, B Wróblewski Mathematical Models and Methods in Applied Sciences 29 (01), 89-119, 2019 | 40 | 2019 |
Flocking with short-range interactions J Morales, J Peszek, E Tadmor Journal of Statistical Physics 176, 382-397, 2019 | 26 | 2019 |
Density-induced consensus protocol P Minakowski, PB Mucha, J Peszek Mathematical Models and Methods in Applied Sciences 30 (12), 2389-2415, 2020 | 17 | 2020 |
Heterogeneous gradient flows in the topology of fibered optimal transport J Peszek, D Poyato Calculus of Variations and Partial Differential Equations 62 (9), 258, 2023 | 13 | 2023 |
Inevitable monokineticity of strongly singular alignment M Fabisiak, J Peszek Mathematische Annalen 390 (1), 589-637, 2024 | 9 | 2024 |
Flocking particles in a non-Newtonian shear thickening fluid PB Mucha, J Peszek, M Pokornę Nonlinearity 31 (6), 2703, 2018 | 9 | 2018 |
On some nonlinear extensions of the Gagliardo–Nirenberg inequality with applications to nonlinear eigenvalue problems A Kałamajska, J Peszek Asymptotic Analysis 77 (3-4), 169-196, 2012 | 9 | 2012 |
The cucker-smale equation: singular communicationweight, measure solutions and weak-atomic uniqueness. preprint PB Mucha, J Peszek arXiv preprint arXiv:1509.07673, 2015 | 8 | 2015 |
On certain generalizations of the Gagliardo–Nirenberg inequality and their applications to capacitary estimates and isoperimetric inequalities A Kałamajska, J Peszek Journal of Fixed Point Theory and Applications 13 (1), 271-290, 2013 | 8 | 2013 |
Measure solutions to a kinetic Cucker-Smale model with singular and matrix-valued communication J Peszek, D Poyato arXiv preprint arXiv:2207.14764, 2022 | 7 | 2022 |
Cucker-Smale model with a bonding force and a singular interaction kernel J Kim, J Peszek arXiv preprint arXiv:1805.01994, 2018 | 6 | 2018 |
Singular Cucker-Smale Dynamics, in “Active Particles”, Advances in Theory, Models, and Applications, Vol 2 (N. Bellomo, P. Degond and E. Tadmor, eds.) P Minakowski, PB Mucha, J Peszek, E Zatorska Birkhäuser, 2019 | 5 | 2019 |
Data Clustering as an Emergent Consensus of Autonomous Agents P Minakowski, J Peszek arXiv preprint arXiv:2204.10585, 2022 | 2 | 2022 |
Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment N Chaudhuri, J Peszek, M Szlenk, E Zatorska arXiv preprint arXiv:2409.07593, 2024 | 1 | 2024 |