메뉴 건너뛰기




Volumn 21, Issue 12, 2008, Pages

Partial differential equations and non-diffusive structures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 58149354467     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/21/12/T04     Document Type: Article
Times cited : (9)

References (28)
  • 1
    • 0003135551 scopus 로고
    • Singular perturbation of differential integral equations describing biased random walks
    • Alt W 1981 Singular perturbation of differential integral equations describing biased random walks J. Reine Angew. Math. 322 15-41
    • (1981) J. Reine Angew. Math. , vol.322 , pp. 15-41
    • Alt, W.1
  • 2
    • 26844499863 scopus 로고    scopus 로고
    • Global solutions of some chemotaxis and angiogenesis systems in high space dimensions
    • Corrias L, Perthame B and Zaag H 2004 Global solutions of some chemotaxis and angiogenesis systems in high space dimensions Milan J. Math. 72 1-28
    • (2004) Milan J. Math. , vol.72 , Issue.1 , pp. 1-28
    • Corrias, L.1    Perthame, B.2    Zaag, H.3
  • 5
    • 58149332388 scopus 로고    scopus 로고
    • Geigant E 1999 Nichtlineare Integro-Differential-Gleichungen zur Modellierung interaktiver Musterbildungsprozesse auf PhD Thesis Bonn University Bonner Mathematische Schriften vol 323 (Bonn University)
    • (1999) PhD Thesis
    • Geigant, E.1
  • 6
    • 58149360981 scopus 로고    scopus 로고
    • Stability analysis of a peak solution of an orientational aggregation model
    • Geigant E 2000 Stability analysis of a peak solution of an orientational aggregation model EQUADIFF 99: Proc. Int. Conf. on Differential Equation (Berlin) vol 2 (Singapore: World Scientific) pp 1210-16
    • (2000) EQUADIFF 99: Proc. Int. Conf. on Differential Equation , vol.2 , pp. 1210-1216
    • Geigant, E.1
  • 7
    • 1542751051 scopus 로고    scopus 로고
    • Bifurcation analysis of an orientational aggregation model
    • Geigant E and Stoll M 2003 Bifurcation analysis of an orientational aggregation model J. Math. Biol. 46 537-63
    • (2003) J. Math. Biol. , vol.46 , Issue.6 , pp. 537-563
    • Geigant, E.1    Stoll, M.2
  • 8
    • 26944449649 scopus 로고    scopus 로고
    • Creeping fronts in degenerate reaction-diffusion systems
    • Heinze S and Schweitzer B 2005 Creeping fronts in degenerate reaction-diffusion systems Nonlinearity 18 2455-76
    • (2005) Nonlinearity , vol.18 , Issue.6 , pp. 2455-2476
    • Heinze, S.1    Schweitzer, B.2
  • 9
    • 4744373150 scopus 로고    scopus 로고
    • From 1970 until present: The Keller-Segel model in chemotaxis and its consequences: I
    • Horstmann D 2003 From 1970 until present: the Keller-Segel model in chemotaxis and its consequences: I Jahresber. Deutsch. Math.-Verein. 105 103-65
    • (2003) Jahresber. Deutsch. Math.-Verein. , vol.105 , pp. 103-165
    • Horstmann, D.1
  • 10
    • 13844288282 scopus 로고    scopus 로고
    • From 1970 until present: The Keller-Segel model in chemotaxis and its consequences: II
    • Horstmann D 2004 From 1970 until present: the Keller-Segel model in chemotaxis and its consequences: II Jahresber. Deutsch. Math.-Verein. 106 51-69
    • (2004) Jahresber. Deutsch. Math.-Verein. , vol.106 , pp. 51-69
    • Horstmann, D.1
  • 11
    • 84867943821 scopus 로고    scopus 로고
    • A constructive approach to travelling waves in chemotaxis
    • Horstmann D and Stevens A 2004 A constructive approach to travelling waves in chemotaxis J. Nonlinear Sci. 14 1-25
    • (2004) J. Nonlinear Sci. , vol.14 , Issue.1 , pp. 1-25
    • Horstmann, D.1    Stevens, A.2
  • 12
    • 58149341790 scopus 로고    scopus 로고
    • An integro-differential equation model for alignment and orientational aggregation
    • Kang K, Perthame B, Stevens A and Velázquez J J L 2008-2009 An integro-differential equation model for alignment and orientational aggregation J. Diff. Eqns at press
    • (2008) J. Diff. Eqns
    • Kang, K.1    Perthame, B.2    Stevens, A.3    Velázquez, J.J.L.4
  • 14
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • Keller E F and 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 , Issue.3 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 15
    • 0015010990 scopus 로고
    • Travelling bands of chemotactic bacteria: A theoretical analysis
    • Keller E F and Segel L A 1971 Travelling bands of chemotactic bacteria: a theoretical analysis J. Theor. Biol. 30 235-48
    • (1971) J. Theor. Biol. , vol.30 , Issue.2 , pp. 235-248
    • Keller, E.F.1    Segel, L.A.2
  • 16
    • 0031162898 scopus 로고    scopus 로고
    • A system of reaction diffusion equations arising in the theory of reinforced random walks
    • Levine H and Sleeman B 1997 A system of reaction diffusion equations arising in the theory of reinforced random walks SIAM J. Appl. Math. 57 683-730
    • (1997) SIAM J. Appl. Math. , vol.57 , Issue.3 , pp. 683-730
    • Levine, H.1    Sleeman, B.2
  • 17
    • 84887248986 scopus 로고    scopus 로고
    • The continuum reaction-diffusion limit of a stochastic cellular growth model
    • Luckhaus S and Triolo L 2004 The continuum reaction-diffusion limit of a stochastic cellular growth model Rend. Mat. Ac. Lincei 15 215-23 s.9
    • (2004) Rend. Mat. Ac. Lincei , vol.15 , pp. 215-223
    • Luckhaus, S.1    Triolo, L.2
  • 18
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blow-up and collapse. the ABC's of taxis in reinforced random walks
    • Othmer H G and Stevens A 1997 Aggregation, blow-up and collapse. The ABC's of taxis in reinforced random walks SIAM J. Appl. Math. 57 1044-81
    • (1997) SIAM J. Appl. Math. , vol.57 , Issue.4 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 19
    • 64549146385 scopus 로고    scopus 로고
    • A survey of random processes with reinforcement
    • Pemantle R 2007 A survey of random processes with reinforcement Probab. Surv. 4 1-79
    • (2007) Probab. Surv. , vol.4 , pp. 1-79
    • Pemantle, R.1
  • 23
    • 0000715275 scopus 로고
    • Sur une équation intégro-différentielle non linéaire issue de la biologie
    • Rascle M 1979 Sur une équation intégro- différentielle non linéaire issue de la biologie J. Diff. Eqns 32 420-53
    • (1979) J. Diff. Eqns , vol.32 , Issue.3 , pp. 420-453
    • Rascle, M.1
  • 24
    • 0001408135 scopus 로고
    • Trail following and aggregation of myxobacteria
    • Stevens A 1995 Trail following and aggregation of myxobacteria J. Biol. Syst. 3 1059-68
    • (1995) J. Biol. Syst. , vol.3 , Issue.4 , pp. 1059-1068
    • Stevens, A.1
  • 25
    • 0034455986 scopus 로고    scopus 로고
    • The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems
    • Stevens A 2000 The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems SIAM J. Appl. Math. 61 183-212
    • (2000) SIAM J. Appl. Math. , vol.61 , Issue.1 , pp. 183-212
    • Stevens, A.1
  • 28
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing A 1952 The chemical basis of morphogenesis Phil. Trans. R. Soc. B 237 37-72
    • (1952) Phil. Trans. R. Soc. , vol.237 , Issue.641 , pp. 37-72
    • Turing, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.