메뉴 건너뛰기




Volumn 12, Issue 2, 2001, Pages 159-177

Blow-up in a chemotaxis model without symmetry assumptions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035646454     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792501004363     Document Type: Article
Times cited : (440)

References (28)
  • 4
    • 0002166459 scopus 로고
    • Chemotactic collapse in two dimensions
    • Springer-Verlag
    • CHILDRESS, S. (1984) Chemotactic collapse in two dimensions. Lecture Notes in Biomathematics, 55, Springer-Verlag, pp. 61-66.
    • (1984) Lecture Notes in Biomathematics , vol.55 , pp. 61-66
    • Childress, S.1
  • 5
    • 0019784884 scopus 로고
    • Nonlinear aspects of chemotaxis
    • CHILDRESS, S. & PERCUS, J. K. (1981) Nonlinear aspects of chemotaxis. Math. Biosc. 56, 217-237.
    • (1981) Math. Biosc. , vol.56 , pp. 217-237
    • Childress, S.1    Percus, J.K.2
  • 6
    • 0015042105 scopus 로고
    • Wave propagation in the early stages of aggregation of cellular slime molds
    • COHEN, M. H. & ROBERTSON, A. (1971) Wave propagation in the early stages of aggregation of cellular slime molds. J. Theor. Biol. 31, 101-118.
    • (1971) J. Theor. Biol. , vol.31 , pp. 101-118
    • Cohen, M.H.1    Robertson, A.2
  • 7
    • 0001979760 scopus 로고    scopus 로고
    • A sharp embedding theorem for Orlicz-Sobolev spaces
    • CIANCHI, A. (1996) A sharp embedding theorem for Orlicz-Sobolev spaces. Indiana Univ. Math. J. 45, 39-65.
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 39-65
    • Cianchi, A.1
  • 9
    • 0032445844 scopus 로고    scopus 로고
    • Global behavior of a reaction-diffusion system modelling chemotaxis
    • GAJEWSKI, H. & ZACHARIAS, K. (1998) Global behavior of a reaction-diffusion system modelling chemotaxis. Math. Nachr. 195, 77-114.
    • (1998) Math. Nachr. , vol.195 , pp. 77-114
    • Gajewski, H.1    Zacharias, K.2
  • 10
    • 0030334089 scopus 로고    scopus 로고
    • Chemotactic collapse for the Keller-Segel model
    • HERRERO, M. A. & VELÁZQUEZ, J. J. L. (1996) Chemotactic collapse for the Keller-Segel model. J. Math. Biol. 35, 583-623.
    • (1996) J. Math. Biol. , vol.35 , pp. 583-623
    • Herrero, M.A.1    Velázquez, J.J.L.2
  • 15
    • 84966208077 scopus 로고
    • On explosions of solutions to a system of partial differential equations modelling chemotaxis
    • JÄGER, W. & LUCKHAUS, S. (1992) On explosions of solutions to a system of partial differential equations modelling chemotaxis. Trans. Amer. Math. Soc. 329, 819-824.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 819-824
    • Jäger, W.1    Luckhaus, S.2
  • 16
    • 0346815203 scopus 로고    scopus 로고
    • Stationary Keller-Segel model with the linear sensitivity
    • KABEYA, Y. & NI, W.-M. (1998) Stationary Keller-Segel model with the linear sensitivity. RIMS Kokyuroku, 1025, 44-65.
    • (1998) RIMS Kokyuroku , vol.1025 , pp. 44-65
    • Kabeya, Y.1    Ni, W.M.2
  • 17
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • KELLER, E. F. & SEGEL, L. A. (1970) Initiation of slime mold aggregation viewed as an instability. J. Theor. Biol. 26, 399-415.
    • (1970) J. Theor. Biol. , vol.26 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 20
    • 0000911252 scopus 로고
    • Blow-up of radially symmetric solutions to a chemotaxis system
    • NAGAI, T. (1995) Blow-up of radially symmetric solutions to a chemotaxis system. Adv. Math. Sci. Appl. 5, 581-601.
    • (1995) Adv. Math. Sci. Appl. , vol.5 , pp. 581-601
    • Nagai, T.1
  • 21
    • 0001205112 scopus 로고    scopus 로고
    • Application of the Moser-Trudinger inequality to a parabolic system of chemotaxis
    • NAGAI, T., SENBA, T. & YOSHIDA, K. (1997) Application of the Moser-Trudinger inequality to a parabolic system of chemotaxis. Funkc. Ekvacioj. Ser. Int. 40, 411-433.
    • (1997) Funkc. Ekvacioj. Ser. Int. , vol.40 , pp. 411-433
    • Nagai, T.1    Senba, T.2    Yoshida, K.3
  • 23
    • 0015757937 scopus 로고
    • Chemotaxis, signal relaying and aggregation morphology
    • NANJUNDIAH, V. (1973) Chemotaxis, signal relaying and aggregation morphology. J. Theor. Biol. 42, 63-105.
    • (1973) J. Theor. Biol. , vol.42 , pp. 63-105
    • Nanjundiah, V.1
  • 24
    • 84990581933 scopus 로고
    • On the shape of least energy solution to a semilinear Neumann problem
    • NI, W.-M. & TAKAGI, I. (1991) On the shape of least energy solution to a semilinear Neumann problem. Comm. Pure Appl. Math. 41, 819-851.
    • (1991) Comm. Pure Appl. Math. , vol.41 , pp. 819-851
    • Ni, W.M.1    Takagi, I.2
  • 27
    • 0000620395 scopus 로고    scopus 로고
    • On multivortex solutions in Chern-Simons gauge theory
    • STRUWE, M. & TARANTELLO, G. (1998) On multivortex solutions in Chern-Simons gauge theory. Bolletino U. M. I. 8, 109-121.
    • (1998) Bolletino U. M. I. , vol.8 , pp. 109-121
    • Struwe, M.1    Tarantello, G.2
  • 28
    • 7444220004 scopus 로고    scopus 로고
    • Steady state solutions of a reaction-diffusion system modeling chemotaxis
    • to appear
    • WANG, G. & WEI, J. Steady state solutions of a reaction-diffusion system modeling chemotaxis. Math. Nachr. (to appear).
    • Math. Nachr
    • Wang, G.1    Wei, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.