Global existence and asymptotic behavior in a three-dimensional two-species chemotaxis-Stokes system with tensor-valued sensitivity

키워드

참고문헌 (47)

1. X. Bai, "Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics", Indiana Univ. Math. J, 65(2), pp.553~583 (2016)[DOI]
2. T. Black, "Global very weak solutions to a chemotaxis-uid system with nonlinear dif-fusion", SIAM J. Math. Anal, 50(4), pp.4087~4116 (2018)[DOI]
3. N. Bellomo, "Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues", Math. Models Methods Appl. Sci, 25(9), pp.1663~1763 (2015)[DOI]
4. X. Cao, "Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational ux term", J. Dierential Equations, 261(12), pp.6883~6914 (2016)[DOI]
5. X. Cao, "Global existence an asymptotic behavior of clas-sical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics", Math. Methods Appl. Sci., 41(8), pp.3138~3154 (2018)[DOI]
6. X. Cao, "Global existence and asymptotic behavior of classical solutions for a 3D two-species Keller-Segel-Stokes system with competitive kinetics", ~
7. D. Henry, "Lecture Notes in Mathematics, 840" (1981), Springer-Verlag
8. M. A. Herrero, "A blow-up mechanism for a chemotaxis model", Ann. Scuola Norm. Sup. Pisa Cl. Sci, 24(4), pp.633~683 (1997)
9. M. Hirata, "Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics", J. Dierential Equations, 263(1), pp.470~490 (2017)[DOI]
10. M. Hirata, "Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics", Proceedings of EQUADIFF 2017 Conference, pp.11~20 (2017)
11. D. Horstmann, "Boundedness vs. blow-up in a chemotaxis system", J. Differential Equations, 215(1), pp.52~107 (2005)[DOI]
12. S. Ishida, "Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains", J. Dierential Equations, 256(8), pp.2993~3010 (2014)[DOI]
13. E. F. Keller, "Initiation of slime mold aggregation viewed as an instability", J. Theoret. Biol, 26(3), pp.399~415 (1970)[DOI]
14. O. A. Ladyzenskaja, "Linear and quasilinear equa-tions of parabolic type (Russian)" (1968), American Mathematical Society
15. H. Li, "Boundedness in a chemotaxis system with indirect signal production and generalized logistic source", Appl. Math. Lett., 77, pp.108~113 (2018)[DOI]
16. X. Li, "Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization", J. Dierential Equations
17. K. Lin, "Boundedness in a two-species chemotaxis system", Math. Methods Appl. Sci, 38(18), pp.5085~5096 (2015)[DOI]
18. K. Lin, "A new approach toward stabilization in a two-species chemotaxis model with logistic source", Comput. Math. Appl, 75(3), pp.837~849 (2018)[DOI]
19. J. Liu, "Boundedness and decay property in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation", J. Dierential Equations, 261(2), pp.967~999 (2016)[DOI]
20. J. Liu, "Global existence and boundedness in a Keller-Segel-(Navier-)Stokes system with signal-dependent sensitivity", J. Math. Anal. Appl, 447(1), pp.499~528 (2017)[DOI]
21. J. Liu, "Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes sys-tem involving a tensor-valued sensitivity with saturation", J. Dierential Equations, 262(10), pp.5271~5305 (2017)[DOI]
22. M. Mizukami, "Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity", Discrete Contin. Dyn. Syst. Ser. B, 22(6), pp.2301~2319 (2017)[DOI]
23. M. Mizukami, "Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity", Discrete Contin. Dyn. Syst. Ser. B, 22(6), pp.2301~2319 (2017)[DOI]
24. M. Mizukami, "Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diusion", J. Dierential Equations, 261(5), pp.2650~2669 (2016)[DOI]
25. T. Nagai, "Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis", Funkcial. Ekvac, 40(3), pp.411~433 (1997)
26. M. Negreanu, "On a two species chemotaxis model with slow chemical diusion", SIAM J. Math. Anal, 46(6), pp.3761~3781 (2014)[DOI]
27. M. Negreanu, "Asymptotic stability of a two species chemotaxis system with non-diusive chemoattractant", J. Dierential Equations, 258(5), pp.1592~1617 (2015)[DOI]
28. G. Ren, "Global boundedness and asymptotic behavior in a two-species chemotaxis-competition system with two signals", Nonlinear Anal. Real World Appl, 48, pp.288~325 (2019)[DOI]
29. G. Ren, "Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source", Nonlinear Anal. Real World Appl., 46, pp.545~582 (2019)[DOI]
30. G. Ren, "Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model", Hakkaido Mathematical Journal
31. H. Sohr, "The Navier-Stokes equations" (2001), Basler Lehrbucher., Birkhauser Verlag
32. C. Stinner, "Competitive exclusion in a two-species chemo-taxis model", J. Math. Biol, 68(7), pp.1607~1626 (2014)[DOI]
33. Y. Tao, "Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diusion", Ann. Inst. H. Poincare Anal. Non Lineaire, 30(1), pp.157~178 (2013)[DOI]
34. Y. Tao, "Boundedness and decay enforced by quadratic degradation in a three-dimen-sional chemotaxis-uid system", Z. Angew. Math. Phys, 66(5), pp.2555~2573 (2015)[DOI]
35. Y. Tao, "Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system", Z. Angew. Math. Phys., 67(6), pp.23~ (2016)[DOI]
36. I. Tuval, "Bacterial swimming and oxygen transport near contact lines", Proc. Natl. Acad. Sci, 102, pp.2277~2282 (2005)
37. Y. Wang, "Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes sys-tem with subcritical sensitivity", Math. Models Methods Appl. Sci, 27(14), pp.2745~2780 (2017)[DOI]
38. Y. Wang, "Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity", Ann. Sc. Norm. Super. Pisa Cl. Sci., 18(2), pp.421~466 (2018)
39. Y. Wang, "Global existence and boundedness in a Keller-Segel-Stokes sys-tem involving a tensor-valued sensitivity with saturation", J. Dierential Equations, 259(12), pp.7578~7609 (2015)[DOI]
40. Y. Wang, "Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation : the 3D case", J. Dierential Equations, 261(9), pp.4944~4973 (2016)[DOI]
41. M. Winkler, "Aggregation vs. global diusive behavior in the higher-dimensional Keller-Segel model", J. Dierential Equations, 248(12), pp.2889~2905 (2010)[DOI]
42. M. Winkler, "Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in uid drops", Comm. Partial Dierential Equations, 37(2), pp.319~351 (2012)[DOI]
43. M. Winkler, "Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diusion and general sensitivity", Calc. Var. Partial Dierential Equations, 54(4), pp.3789~3828 (2015)[DOI]
44. M. Winkler, "How far do chemotaxis-driven forces inuence regularity in the Navier-Stokes system?", Trans. Amer. Math. Soc, 369(5), pp.3067~3125 (2017)[DOI]
45. M. Winkler, "Does uid interaction aect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?", J. Math. Fluid Mech, 20(4), pp.1889~1909 (2018)[DOI]
46. M. Winkler, "Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diusion enhancement", J. Dierential Equations, 264(10), pp.6109~6151 (2018)[DOI]
47. Q. Zhang, "Global boundedness of solutions to a two-species chemotaxis system", Z. Angew. Math. Phys, 66(1), pp.83~93 (2015)[DOI]

관련 논문AI추천