메뉴 건너뛰기




Volumn 2001, Issue , 2001, Pages

A priori bounds and global existence for strongly coupled quasilinear parabolic syste modeling chemotaxis

Author keywords

Chemotaxis; Reaction diffusion; Strongly coupled

Indexed keywords


EID: 52549091789     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (22)
  • 1
  • 2
    • 52549116143 scopus 로고
    • Quasilinear parabolic systems
    • Longman Sci. Tech., systems, D iff. Int. Eq. 3(1990)
    • Amann, H., Quasilinear parabolic systems, Pitman Res. Notes Math. Ser., 149, Longman Sci. Tech., 1987. systems, D iff. Int. Eq. 3(1990), pp. 13-75.
    • (1987) Pitman Res. Notes Math. Ser. , vol.149 , pp. 13-75
    • Amann, H.1
  • 3
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • Function Spaces, Differential Operators and Nonlinear Analysis (H. Schmeisser and H. Triebel, eds.), Stuttgart and Leipzig
    • Amann, H., Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems, in Function Spaces, Differential Operators and Nonlinear Analysis (H. Schmeisser and H. Triebel, eds.), Teubner-Texte Math., vol. 133, Stuttgart and Leipzig, 1993.
    • (1993) Teubner-Texte Math. , vol.133
    • Amann, H.1
  • 4
    • 0032445844 scopus 로고    scopus 로고
    • Global behaviour of a reaction-diffusion system modelling chemotaxis
    • Gajewski, H. and Zacharias, K., Global behaviour of a reaction-diffusion system modelling chemotaxis, Math. Nachr. 195 (1998) pp. 77-114.
    • (1998) Math. Nachr. , vol.195 , pp. 77-114
    • Gajewski, H.1    Zacharias, K.2
  • 5
    • 0030334089 scopus 로고    scopus 로고
    • Chemotactic collapse for the KellerSegel model
    • Herrero, M. A. and Velazquez, J.J.L., Chemotactic collapse for the KellerSegel model, J. Math. Biol. 35(1996), pp. 177-194.
    • (1996) J. Math. Biol. , vol.35 , pp. 177-194
    • Herrero, M.A.1    Velazquez, J.J.L.2
  • 6
    • 84966208077 scopus 로고
    • On explosion of solutions to a system of partial differential equations modelling chemotaxis
    • Jäger, W. and Luckhaus, S., On explosion of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc., 329(1992), pp. 819-824.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 819-824
    • Jäger, W.1    Luckhaus, S.2
  • 7
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • Keller, E. F. and Segel, L. A., Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol. 26 (1970), pp. 399-415.
    • (1970) J. Theor. Biol. , vol.26 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 8
    • 0023680615 scopus 로고
    • Effect of bacterial chemotaxis on dynamics of microbial competition
    • Kelly, F., Dapsis, K. and Lauffenburger, D., Effect of bacterial chemotaxis on dynamics of microbial competition, Microbial Ecology 16(1988), pp. 115-131.
    • (1988) Microbial Ecology , vol.16 , pp. 115-131
    • Kelly, F.1    Dapsis, K.2    Lauffenburger, D.3
  • 11
    • 0020359914 scopus 로고
    • Effects of cell motility and chemotaxis on microbial population growth
    • Lauffenburger, D., Aris, R. and Keller, K., Effects of cell motility and chemotaxis on microbial population growth, Biophys. J. 40(1982), pp. 209219.
    • (1982) Biophys. J. , vol.40 , pp. 209219
    • Lauffenburger, D.1    Aris, R.2    Keller, K.3
  • 12
    • 51249174778 scopus 로고
    • Quantitative studies of bacterial chemotaxis and microbial population dynamics
    • Lauffenburger,D.,Quantitative studies of bacterial chemotaxis and microbial population dynamics, Microbial Ecology 22(1991), pp. 175-185.
    • (1991) Microbial Ecology , vol.22 , pp. 175-185
    • Lauffenburger, D.1
  • 13
    • 0001236097 scopus 로고    scopus 로고
    • Steady states of models of microbial growth and competition with chemotaxis
    • Le, D. and Smith, H. L., Steady states of models of microbial growth and competition with chemotaxis, J.M.A.A. 229 (1999) pp. 295-318.
    • (1999) J.M.A.A. , vol.229 , pp. 295-318
    • Le, D.1    Smith, H.L.2
  • 16
    • 0005596499 scopus 로고    scopus 로고
    • Nonlinear Anal. 30(1997), pp. 3837-3842.
    • (1997) Nonlinear Anal. , vol.30 , pp. 3837-3842
  • 17
    • 0001205112 scopus 로고    scopus 로고
    • Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
    • Nagai, T., Senba, T. and Yoshida, K., Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis, Funkcial. Eqvac. 40(1997), pp. 411-433.
    • (1997) Funkcial. Eqvac. , vol.40 , pp. 411-433
    • Nagai, T.1    Senba, T.2    Yoshida, K.3
  • 18
    • 0001497848 scopus 로고    scopus 로고
    • Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis
    • Nagai, T. and Senba, T., Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis, Adv. Math. Sci. Appl. 8(1998), pp. 145-156.
    • (1998) Adv. Math. Sci. Appl. , vol.8 , pp. 145-156
    • Nagai, T.1    Senba, T.2
  • 19
    • 0005525169 scopus 로고    scopus 로고
    • Global existence to of solutions to the parabolic systems of chemotaxis
    • Nagai, T. and Senba, T., Global existence to of solutions to the parabolic systems of chemotaxis, Sürikaisekikenkyüosho Kökyüroku 1009(1997), pp.22-28.
    • (1997) Sürikaisekikenkyüosho Kökyüroku , vol.1009 , pp. 22-28
    • Nagai, T.1    Senba, T.2
  • 20
    • 34249856861 scopus 로고    scopus 로고
    • Keller-Segel system and the concentration lemma
    • Nagai, T. and Senba, T., Keller-Segel system and the concentration lemma, Sürikaisekikenkyüosho Kökyüroku 1025(1998), pp. 75-80.
    • (1998) Sürikaisekikenkyüosho Kökyüroku , vol.1025 , pp. 75-80
    • Nagai, T.1    Senba, T.2
  • 21
    • 0003278399 scopus 로고
    • Infinite-Dimensional Dynamical Systems in Mechanics and Physics
    • Springer, New York
    • Temam, R., Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences Vol. 68, Springer, New York, 1988.
    • (1988) Applied Mathematical Sciences , vol.68
    • Temam, R.1
  • 22
    • 0000646419 scopus 로고    scopus 로고
    • A critical Parabolic estimate and application to nonlocal equations arising in chemotaxis
    • Wolansky, G., A critical Parabolic estimate and application to nonlocal equations arising in chemotaxis, Appl. Anal. 66(1997) pp. 291-321.
    • (1997) Appl. Anal. , vol.66 , pp. 291-321
    • Wolansky, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.