메뉴 건너뛰기




Volumn 6, Issue 1, 2001, Pages 37-55

Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis intwo-dimensional domains

Author keywords

Chemotaxis; Finite time blowup; Parabolic elliptic system

Indexed keywords


EID: 0010786688     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/S1025583401000042     Document Type: Article
Times cited : (445)

References (29)
  • 1
    • 0009978417 scopus 로고
    • Existence and nonexistence of solutions for a model of gravitational interactions of particles, III
    • P. Biler, Existence and nonexistence of solutions for a model of gravitational interactions of particles, III, Colloq. Math., 68(1995) 229-239.
    • (1995) Colloq. Math. , vol.68 , pp. 229-239
    • Biler, P.1
  • 2
    • 0000657461 scopus 로고    scopus 로고
    • Local and global solvability of some parabolic systems modelling chemotaxis
    • P. Biler, Local and global solvability of some parabolic systems modelling chemotaxis, Adv. Math. Sci. Appl., 8(1998) 715-743.
    • (1998) Adv. Math. Sci. Appl. , vol.8 , pp. 715-743
    • Biler, P.1
  • 3
    • 0000531920 scopus 로고
    • Existence and nonexistence of solutions for a model of gravitational interactions of particles, I
    • P. Biler and T. Nadzieja, Existence and nonexistence of solutions for a model of gravitational interactions of particles, I, Colloq. Math., 66(1994) 319-334.
    • (1994) Colloq. Math. , vol.66 , pp. 319-334
    • Biler, P.1    Nadzieja, T.2
  • 4
    • 0002166459 scopus 로고
    • Chemotactic collapse in two dimensions
    • Springer, Berlin
    • S. Childress, Chemotactic collapse in two dimensions, Lecture Notes in Biomath., 55, Springer, Berlin, 1984, 61-66.
    • (1984) Lecture Notes in Biomath. , vol.55 , pp. 61-66
    • Childress, S.1
  • 5
    • 0019784884 scopus 로고
    • Nonlinear aspects of chemotaxis
    • S. Childress and J. K. Percus, Nonlinear aspects of chemotaxis, Math. Biosci., 56(1981) 217-237.
    • (1981) Math. Biosci. , vol.56 , pp. 217-237
    • Childress, S.1    Percus, J.K.2
  • 6
    • 0000426130 scopus 로고
    • Symmetrization in a parabolic-elliptic system related to chemotaxis
    • J. I. Diaz and T. Nagai, Symmetrization in a parabolic-elliptic system related to chemotaxis, Adv. Math. Sci. Appl., 5(1995) 659-680.
    • (1995) Adv. Math. Sci. Appl. , vol.5 , pp. 659-680
    • Diaz, J.I.1    Nagai, T.2
  • 8
    • 0022499052 scopus 로고
    • On the basic equations for carrier transport in semiconductors
    • H. Gajewski and K. Gröger, On the basic equations for carrier transport in semiconductors, J. Math. Anal. Appl., 113(1986) 12-35.
    • (1986) J. Math. Anal. Appl. , vol.113 , pp. 12-35
    • Gajewski, H.1    Gröger, K.2
  • 9
    • 0032445844 scopus 로고    scopus 로고
    • Global behavior of a reaction-diffusion system modelling chemotaxis
    • H. Gajewski and K. Zacharias, Global behavior of a reaction-diffusion system modelling chemotaxis, Math. Nachr., 195(1998) 77-114.
    • (1998) Math. Nachr. , vol.195 , pp. 77-114
    • Gajewski, H.1    Zacharias, K.2
  • 11
    • 0039712703 scopus 로고    scopus 로고
    • Singularity patterns in a chemotaxis model
    • M. A. Herrero and J. J. L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann., 306(1996) 583-623.
    • (1996) Math. Ann. , vol.306 , pp. 583-623
    • Herrero, M.A.1    Velázquez, J.J.L.2
  • 12
    • 0030334089 scopus 로고    scopus 로고
    • Chemotaxis collapse for the Keller-Segel model
    • M. A. Herrero and J. J. L. Velázquez, Chemotaxis collapse for the Keller-Segel model, J. Math. Biol., 35(1996) 177-194.
    • (1996) J. Math. Biol. , vol.35 , pp. 177-194
    • Herrero, M.A.1    Velázquez, J.J.L.2
  • 14
    • 0000507343 scopus 로고    scopus 로고
    • Finite-time aggregation into a single point in a reaction-diffusion system
    • M. A. Herrero, E. Medina and J. J. L. Velázquez, Finite-time aggregation into a single point in a reaction-diffusion system, Nonlinearity, 10(1997) 1739-1754.
    • (1997) Nonlinearity , vol.10 , pp. 1739-1754
    • Herrero, M.A.1    Medina, E.2    Velázquez, J.J.L.3
  • 19
    • 84966208077 scopus 로고
    • On explosions of solutions to a system of partial differential equations modelling chemotaxis
    • W. Jäger and S. Luckhaus, On explosions of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc., 329(1992) 819-824.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 819-824
    • Jäger, W.1    Luckhaus, S.2
  • 20
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • E. F. Keller and L. A. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol, 26(1970) 399-415.
    • (1970) J. Theor. Biol. , vol.26 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 21
    • 0000911252 scopus 로고
    • Blow-up of radially symmetric solutions to a chemotaxis system
    • T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl., 5(1995) 581-601.
    • (1995) Adv. Math. Sci. Appl. , vol.5 , pp. 581-601
    • Nagai, T.1
  • 22
    • 0001497848 scopus 로고    scopus 로고
    • Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis
    • T. Nagai and T. Senba, Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis, Adv. Math. Sci. Appl., 8(1998) 145-156.
    • (1998) Adv. Math. Sci. Appl. , vol.8 , pp. 145-156
    • Nagai, T.1    Senba, T.2
  • 24
    • 0001205112 scopus 로고    scopus 로고
    • Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
    • T. Nagai, T. Senba and K. Yoshida, Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis, Funckcial. Ekvac., 40(1997) 411-433.
    • (1997) Funckcial. Ekvac. , vol.40 , pp. 411-433
    • Nagai, T.1    Senba, T.2    Yoshida, K.3
  • 25
    • 0015757937 scopus 로고
    • Chemotaxis, signal relaying, and aggregation morphology
    • V. Nanjundiah, Chemotaxis, signal relaying, and aggregation morphology, J. Theor. Biol, 42(1973) 63-105.
    • (1973) J. Theor. Biol. , vol.42 , pp. 63-105
    • Nanjundiah, V.1
  • 26
    • 0001928261 scopus 로고    scopus 로고
    • Blow-up of radially symmetric solutions to some system of partial differential equations modelling chemotaxis
    • T. Senba, Blow-up of radially symmetric solutions to some system of partial differential equations modelling chemotaxis, Adv. Math. Sci. Appl., 7(1997) 79-92.
    • (1997) Adv. Math. Sci. Appl. , vol.7 , pp. 79-92
    • Senba, T.1
  • 28
    • 51249166872 scopus 로고
    • On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity
    • G. Wolansky, On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity, J. Analyse Math., 59(1992) 251-272.
    • (1992) J. Analyse Math. , vol.59 , pp. 251-272
    • Wolansky, G.1
  • 29
    • 0001488448 scopus 로고    scopus 로고
    • Norm behavior of solutions to the parabolic system of chemotaxis
    • A. Yagi, Norm behavior of solutions to the parabolic system of chemotaxis, Math. Japonica, 45(1997) 241-265.
    • (1997) Math. Japonica , vol.45 , pp. 241-265
    • Yagi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.