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Volumn 34, Issue 2, 2011, Pages 176-190

Global solutions in a fully parabolic chemotaxis system with singular sensitivity

Author keywords

chemotaxis; global existence; singularity formation; weak solutions

Indexed keywords

BOUNDED DOMAIN; CHEMOTAXIS; CLASSICAL SOLUTIONS; GLOBAL EXISTENCE; GLOBAL EXISTENCE OF WEAK SOLUTIONS; GLOBAL SOLUTIONS; NEUMANN BOUNDARY VALUE PROBLEMS; SINGULARITY FORMATION; SOLUTION CONCEPTS; WEAK SOLUTION;

EID: 78650780103     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.1346     Document Type: Article
Times cited : (219)

References (18)
  • 1
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • Keller EF, Segel LA,. Initiation of slime mold aggregation viewed as an instability. Journal of Theoretical Biology 1970; 26: 399-415.
    • (1970) Journal of Theoretical Biology , vol.26 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 3
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup and collapse: The ABC's of taxis in reinforced random walks
    • Othmer HG, Stevens A,. Aggregation, blowup and collapse: the ABC's of taxis in reinforced random walks. SIAM Journal on Applied Mathematics 1997; 57: 1044-1081.
    • (1997) SIAM Journal on Applied Mathematics , vol.57 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 4
    • 63049107118 scopus 로고    scopus 로고
    • A user's guide to PDE models for chemotaxis
    • Hillen T, Painter K,. A user's guide to PDE models for chemotaxis. Journal of Mathematical Biology 2009; 58 (1-2): 183-217.
    • (2009) Journal of Mathematical Biology , vol.58 , Issue.12 , pp. 183-217
    • Hillen, T.1    Painter, K.2
  • 5
    • 0031162898 scopus 로고    scopus 로고
    • A system of reaction-diffusion equations arising in the theory of reinforced random walks
    • Levine HA, Sleeman BD,. A system of reaction-diffusion equations arising in the theory of reinforced random walks. SIAM Journal on Applied Mathematics 1997; 57 (3): 683-730.
    • (1997) SIAM Journal on Applied Mathematics , vol.57 , Issue.3 , pp. 683-730
    • Levine, H.A.1    Sleeman, B.D.2
  • 6
    • 0001580322 scopus 로고    scopus 로고
    • Global solutions to some parabolic-elliptic systems of chemotaxis
    • Biler P,. Global solutions to some parabolic-elliptic systems of chemotaxis. Advances in Mathematical Sciences and Applications 1999; 9 (1): 347-359.
    • (1999) Advances in Mathematical Sciences and Applications , vol.9 , Issue.1 , pp. 347-359
    • Biler, P.1
  • 7
    • 77958535262 scopus 로고    scopus 로고
    • Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
    • DOI: 10.1002/mana.200810838
    • Winkler M,. Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity. Mathematische Nachrichten, DOI: 10.1002/mana.200810838.
    • Mathematische Nachrichten
    • Winkler, M.1
  • 9
    • 0141644434 scopus 로고    scopus 로고
    • Finite dimensional attractors for one-dimensional Keller-Segel equations
    • Osaki K, Yagi A,. Finite dimensional attractors for one-dimensional Keller-Segel equations. Funkcialaj Ekvacioj 2001; 44: 441-469.
    • (2001) Funkcialaj Ekvacioj , vol.44 , pp. 441-469
    • Osaki, K.1    Yagi, A.2
  • 10
    • 0005525169 scopus 로고    scopus 로고
    • Global existence of solutions to the parabolic systems of chemotaxis
    • Nagai T, Senba T, Yoshida K,. Global existence of solutions to the parabolic systems of chemotaxis. RIMS Kokyuroku 1997; 1009: 22-28.
    • (1997) RIMS Kokyuroku , vol.1009 , pp. 22-28
    • Nagai, T.1    Senba, T.2    Yoshida, K.3
  • 11
    • 0005596499 scopus 로고    scopus 로고
    • Behavior of radially symmetric solutions of a system related to chemotaxis
    • Nagai T, Senba T,. Behavior of radially symmetric solutions of a system related to chemotaxis. Nonlinear Analysis 1997; 30 (6): 3837-3842.
    • (1997) Nonlinear Analysis , vol.30 , Issue.6 , pp. 3837-3842
    • Nagai, T.1    Senba, T.2
  • 12
    • 0032445844 scopus 로고    scopus 로고
    • Global behavior of a reaction-diffusion system modelling chemotaxis
    • Gajewski H, Zacharias K,. Global behavior of a reaction-diffusion system modelling chemotaxis. Mathematische Nachrichten 1998; 195: 77-114.
    • (1998) Mathematische Nachrichten , vol.195 , pp. 77-114
    • Gajewski, H.1    Zacharias, K.2
  • 13
    • 0001205112 scopus 로고    scopus 로고
    • Application of the Moser-Trudinger inequality to a parabolic system of chemotaxis
    • Nagai T, Senba T, Yoshida K,. Application of the Moser-Trudinger inequality to a parabolic system of chemotaxis. Funkcialaj Ekvacioj. Serio Internacia 1997; 40: 411-433.
    • (1997) Funkcialaj Ekvacioj. Serio Internacia , vol.40 , pp. 411-433
    • Nagai, T.1    Senba, T.2    Yoshida, K.3
  • 14
  • 15
    • 77952551861 scopus 로고    scopus 로고
    • Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
    • Winkler M,. Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model. Journal of Differential Equations 2010; 248 (12): 2889-2905.
    • (2010) Journal of Differential Equations , vol.248 , Issue.12 , pp. 2889-2905
    • Winkler, M.1
  • 18
    • 0003306279 scopus 로고
    • Navier-Stokes equations. Theory and numerical analysis
    • vol. North-Holland: Amsterdam
    • Temam R,. Navier-Stokes equations. Theory and numerical analysis. Studies in Mathematics and its Applications, vol. 2. North-Holland: Amsterdam, 1977.
    • (1977) Studies in Mathematics and its Applications , vol.2
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.