메뉴 건너뛰기




Volumn 22, Issue 11, 2009, Pages 1645-1648

Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field

Author keywords

Cellular motion; Chemotaxis; Continuous limit; Global existence; Nonlinear diffusion; Reaction diffusion systems

Indexed keywords

CELLULAR MOTION; CHEMOTAXIS; CONTINUOUS LIMIT; GLOBAL EXISTENCE; NONLINEAR DIFFUSION; REACTION-DIFFUSION SYSTEMS;

EID: 70349096299     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2009.05.013     Document Type: Article
Times cited : (13)

References (13)
  • 1
    • 0019188958 scopus 로고
    • Biased random walk models for chemotaxis and related diffusion approximations
    • Alt W. Biased random walk models for chemotaxis and related diffusion approximations. J. Math. Biol. 9 (1980) 147
    • (1980) J. Math. Biol. , vol.9 , pp. 147
    • Alt, W.1
  • 2
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup, and collapse: The ABC's of taxis in reinforced random walks
    • Othmer H.G., and Stevens A. Aggregation, blowup, and collapse: The ABC's of taxis in reinforced random walks. SIAM J. Appl. Math 57 4 (1997) 1044
    • (1997) SIAM J. Appl. Math , vol.57 , Issue.4 , pp. 1044
    • Othmer, H.G.1    Stevens, A.2
  • 3
    • 0039712703 scopus 로고    scopus 로고
    • Singularity patterns in chemotaxis model
    • Herrero M.A., and Velázquez J.J.L. Singularity patterns in chemotaxis model. Math. Ann. 306 (1996) 583
    • (1996) Math. Ann. , vol.306 , pp. 583
    • Herrero, M.A.1    Velázquez, J.J.L.2
  • 5
    • 4944248574 scopus 로고    scopus 로고
    • Volume-filling and quorum-sensing in models for chemosensitive movement
    • Painter K., and Hillen T. Volume-filling and quorum-sensing in models for chemosensitive movement. Canadian Appl. Math. Quart. 10 (2002) 501-543
    • (2002) Canadian Appl. Math. Quart. , vol.10 , pp. 501-543
    • Painter, K.1    Hillen, T.2
  • 7
    • 34848920328 scopus 로고    scopus 로고
    • Classical solutions and pattern formation for a volume filling chemotaxis model
    • Wang Z.A., and Hillen T. Classical solutions and pattern formation for a volume filling chemotaxis model. Chaos 17 (2007) 037108
    • (2007) Chaos , vol.17 , pp. 037108
    • Wang, Z.A.1    Hillen, T.2
  • 8
    • 57749101104 scopus 로고    scopus 로고
    • Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact
    • Lushnikov P.M., Chen N., and Alber M. Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact. Phys. Rev. E. 78 (2008) 061904
    • (2008) Phys. Rev. E. , vol.78 , pp. 061904
    • Lushnikov, P.M.1    Chen, N.2    Alber, M.3
  • 9
    • 70349144243 scopus 로고    scopus 로고
    • Prevention of blow up in chemotaxis by fast diffusion
    • submitted for publication
    • Y.S. Choi, Z.A. Wang, Prevention of blow up in chemotaxis by fast diffusion, J. Differential Equations (submitted for publication)
    • J. Differential Equations
    • Choi, Y.S.1    Wang, Z.A.2
  • 10
    • 84972541997 scopus 로고
    • Dynamic theory of quasilinear parabolic equations II: Reaction-diffusion systems
    • Amann H. Dynamic theory of quasilinear parabolic equations II: Reaction-diffusion systems. Differential and Integral Equations 3 (1990) 3-75
    • (1990) Differential and Integral Equations , vol.3 , pp. 3-75
    • Amann, H.1
  • 11
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic equations III: Global existence
    • Amann H. Dynamic theory of quasilinear parabolic equations III: Global existence. Math. Z. 202 (1989) 219-250
    • (1989) Math. Z. , vol.202 , pp. 219-250
    • Amann, H.1
  • 12
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • Schmeisser H.J., and Triebel H. (Eds)
    • Amann H. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: Schmeisser H.J., and Triebel H. (Eds). Function Spaces, Differential Operators and Nonlinear Analysis (1993) 9-126
    • (1993) Function Spaces, Differential Operators and Nonlinear Analysis , pp. 9-126
    • Amann, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.