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Changhui Tan
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Critical thresholds in flocking hydrodynamics with non-local alignment
E Tadmor, C Tan
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2014
1472014
Critical thresholds in 1D Euler equations with non-local forces
JA Carrillo, YP Choi, E Tadmor, C Tan
Mathematical Models and Methods in Applied Sciences 26 (01), 185-206, 2016
1272016
Global regularity for the fractional Euler alignment system
T Do, A Kiselev, L Ryzhik, C Tan
Archive for Rational Mechanics and Analysis 228, 1-37, 2018
872018
Global regularity for 1D Eulerian dynamics with singular interaction forces
A Kiselev, C Tan
SIAM Journal on Mathematical Analysis 50 (6), 6208-6229, 2018
362018
Finite time blow up in the hyperbolic Boussinesq system
A Kiselev, C Tan
Advances in Mathematics 325, 34-55, 2018
322018
On the Euler-alignment system with weakly singular communication weights
C Tan
Nonlinearity 33 (4), 1907, 2020
292020
Singularity formation for a fluid mechanics model with nonlocal velocity
C Tan
Communications in Mathematical Sciences 17 (7), 1779-1794, 2019
26*2019
Eulerian dynamics in multidimensions with radial symmetry
C Tan
SIAM Journal on Mathematical Analysis 53 (3), 3040-3071, 2021
182021
First-order aggregation models with alignment
RC Fetecau, W Sun, C Tan
Physica D: Nonlinear Phenomena 325, 146-163, 2016
172016
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system
TM Leslie, C Tan
Communications in Partial Differential Equations 48 (5), 753-791, 2023
162023
A discontinuous Galerkin method on kinetic flocking models
C Tan
Mathematical Models and Methods in Applied Sciences 27 (07), 1199-1221, 2017
162017
A sharp critical threshold for a traffic flow model with look-ahead dynamics
Y Lee, C Tan
Communications in Mathematical Sciences 20 (4), 1151-1172, 2022
142022
The flow of polynomial roots under differentiation
A Kiselev, C Tan
Annals of PDE 8 (2), 16, 2022
132022
On the global classical solution to compressible Euler system with singular velocity alignment
L Chen, C Tan, L Tong
Methods and Applications of Analysis 28 (2), 155-174, 2021
132021
On a class of new nonlocal traffic flow models with look-ahead rules
Y Sun, C Tan
Physica D: Nonlinear Phenomena 413, 132663, 2020
112020
An exact rescaling velocity method for some kinetic flocking models
T Rey, C Tan
SIAM Journal on Numerical Analysis 54 (2), 641-664, 2016
112016
Global regularity for a 1D Euler-alignment system with misalignment
Q Miao, C Tan, L Xue
Mathematical Models and Methods in Applied Sciences 31 (03), 473-524, 2021
102021
Critical thresholds in the Euler-Poisson-alignment system
M Bhatnagar, H Liu, C Tan
Journal of Differential Equations 375, 82-119, 2023
82023
Hierarchical Construction of Bounded Solutions of div U=F in Critical Regularity Spaces
E Tadmor, C Tan
Nonlinear Partial Differential Equations: The Abel Symposium 2010, 255-269, 2012
72012
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment
X Bai, Q Miao, C Tan, L Xue
Nonlinearity 37 (2), 025007, 2024
42024
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