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Volumn 64, Issue , 2005, Pages 273-290

A chemotaxis model with threshold density and degenerate diffusion

Author keywords

Chemotaxis equations; Compactness method; Degenerate diffusion; Quasilinear parabolic equation

Indexed keywords


EID: 85045529914     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7385-7_16     Document Type: Chapter
Times cited : (37)

References (10)
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    • Amann, H.1
  • 2
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    • Global existence for a parabolic chemotaxis model with prevention of overcrowding
    • T. Hillen and K. Painter, Global existence for a parabolic chemotaxis model with prevention of overcrowding, Adv. Appl. Math. 26 (2001), 280–301.
    • (2001) Adv. Appl. Math. , vol.26 , pp. 280-301
    • Hillen, T.1    Painter, K.2
  • 3
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    • From 1970 until present: The Keller-Segel model in chemotaxis and its consequences
    • D. Horstmann, From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. I., Jahresber. Deutsch. Math.-Verein. 105 (2003) 103–165.
    • (2003) I., Jahresber. Deutsch. Math.-Verein , vol.105 , pp. 103-165
    • Horstmann, D.1
  • 4
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • E. Keller and L. 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.1    Segel, L.2
  • 6
    • 4944248574 scopus 로고    scopus 로고
    • Volume-filling and quorum-sensing in models for chemosen-sitive movement
    • K. Painter and T. Hillen, Volume-filling and quorum-sensing in models for chemosen-sitive movement, Canadian Appl. Math. Q. 10 (2002), 501–543.
    • (2002) Canadian Appl. Math. Q. , vol.10 , pp. 501-543
    • Painter, K.1    Hillen, T.2
  • 7
    • 51249193541 scopus 로고
    • Random walk with persistence and external bias
    • C.S. Patlak, Random walk with persistence and external bias, Bull. Math. Biol. Biophys. 15 (1953), 311–338.
    • (1953) Bull. Math. Biol. Biophys. , vol.15 , pp. 311-338
    • Patlak, C.S.1
  • 9
    • 9244236567 scopus 로고    scopus 로고
    • Global attractor for a chemotaxis model with prevention of overcrowding
    • D. Wrzosek, Global attractor for a chemotaxis model with prevention of overcrowding, Nonlinear Anal. 59 (2004), 1293–1310.
    • (2004) Nonlinear Anal , vol.59 , pp. 1293-1310
    • Wrzosek, D.1
  • 10
    • 9244226337 scopus 로고    scopus 로고
    • Long time behaviour of solutions to a chemotaxis model with volume filling effect
    • D. Wrzosek, Long time behaviour of solutions to a chemotaxis model with volume filling effect, Proc. Roy. Soc. Edinburgh Sect. A, to appear.
    • Proc. Roy. Soc. Edinburgh Sect. A, to Appear.
    • Wrzosek, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.