PATLAK C S. Random Walk with Persistence and External Bias[J]. The Bulletin of Mathematical Biophysics, 1953, 15(3): 311-338. doi: 10.1007/BF02476407
KELLER E F, SEGEL L A. Initiation of Slime Mold Aggregation Viewed as an Instability[J]. Journal of Theoretical Biology, 1970, 26(3): 399-415. doi: 10.1016/0022-5193(70)90092-5
OSAKI K, TSUJIKAWA T, YAGI A, et al. Exponential Attractor for a Chemotaxis-Growth System of Equations[J]. Nonlinear Analysis: Theory, Methods & Applications, 2002, 51(1): 119-144.
ZHANG Q, ZHENG X X. Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations[J]. SIAM Journal on Mathematical Analysis, 2014, 46(4): 3078-3105. doi: 10.1137/130936920
LI Y X, ZHANG Q S. Convergence Rates of Solutions for a Two-Dimensional Chemotaxis-Navier-Stokes System[J]. Discrete and Continuous Dynamical Systems-Series B, 2015, 20(8): 2751-2759. doi: 10.3934/dcdsb.2015.20.2751
PENG Y P, XIANG Z Y. Global Existence and Convergence Rates to a Chemotaxis-Fluids System with Mixed Boundary Conditions[J]. Journal of Differential Equations, 2019, 267(2): 1277-1321. doi: 10.1016/j.jde.2019.02.007
WINKLER M. Global Weak Solutions in a Three-Dimensional Chemotaxis-Navier-Stokes System[J]. Annales De l'Institut Henri Poincaré C, Analyse Non Linéaire, 2016, 33(5): 1329-1352. doi: 10.1016/j.anihpc.2015.05.002
DUAN R J, LI X, XIANG Z Y. Global Existence and Large Time Behavior for a Two-Dimensional Chemotaxis-Navier-Stokes System[J]. Journal of Differential Equations, 2017, 263(10): 6284-6316.
LI X, XIAO Y J. Global Existence and Boundedness in a 2D Keller-Segel-Stokes System[J]. Nonlinear Analysis: Real World Applications, 2017, 37: 14-30. doi: 10.1016/j.nonrwa.2017.02.005
YU M L, LIU M, LUO H. The Global Existence of Weak Solution to Coupled Chemotaxis NS System[J]. 应用数学, 2019, 32(1): 183-194.
BRAUKHOFF M, TANG B Q. Global Solutions for Chemotaxis-Navier-Stokes System with Robin Boundary Conditions[J]. Journal of Differential Equations, 2020, 269(12): 10630-10669.
WU J, WU C Y. A Note on the Global Existence of a Two-Dimensional Chemotaxis-Navier-Stokes System[J]. Applicable Analysis, 2019, 98(7): 1224-1235. doi: 10.1080/00036811.2017.1419199
TEMAM R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics[M]. New York: Springer, 1997.
WINKLER M. Stabilization in a Two-Dimensional Chemotaxis-Navier-Stokes System[J]. Archive for Rational Mechanics and Analysis, 2014, 211(2): 455-487. doi: 10.1007/s00205-013-0678-9
AIDA M, YAGI A. Global Attractor for Approximate System of Chemotaxis and Growth[J]. Dynamical Continuous Discrete Impulse Systems, 2003, 10(1): 309-315.
EVANS L C. Partial Differential Equations[M]. Providence: American Mathematical Society, 1998.