메뉴 건너뛰기




Volumn 29, Issue 3, 2009, Pages 629-641

Global solutions to a hyperbolic-parabolic coupled system with large initial data

Author keywords

35K65; 35L80; 35M10; energy estimates; entropy entropy flux; global solution; hyperbolic parabolic coupled system; local solution

Indexed keywords


EID: 65449161045     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0252-9602(09)60059-X     Document Type: Article
Times cited : (70)

References (9)
  • 1
    • 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 (1997) 1044-1081
    • (1997) SIAM J Appl Math , vol.57 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 2
    • 0031162898 scopus 로고    scopus 로고
    • A system of reaction diffusion equtions arising in the theory of reinforced random walks
    • Levine H.A., and Sleeman B.D. A system of reaction diffusion equtions arising in the theory of reinforced random walks. SIAM J Appl Math 57 (1997) 683-730
    • (1997) SIAM J Appl Math , vol.57 , pp. 683-730
    • Levine, H.A.1    Sleeman, B.D.2
  • 3
    • 0035307231 scopus 로고    scopus 로고
    • Partial differential equations of chemotaxis and angiogenesis
    • Sleeman B.D., and Levine H.A. Partial differential equations of chemotaxis and angiogenesis. Math Methods Appl Sci 24 (2001) 405-426
    • (2001) Math Methods Appl Sci , vol.24 , pp. 405-426
    • Sleeman, B.D.1    Levine, H.A.2
  • 4
    • 0035557011 scopus 로고    scopus 로고
    • On existence of global solutions and blow-up to a system of reaction-diffusion equations modelling chemotaxis
    • Yang Y., Chen H., and Liu W.A. On existence of global solutions and blow-up to a system of reaction-diffusion equations modelling chemotaxis. SIAM J Math Anal 33 (2001) 763-785
    • (2001) SIAM J Math Anal , vol.33 , pp. 763-785
    • Yang, Y.1    Chen, H.2    Liu, W.A.3
  • 5
    • 4744373195 scopus 로고    scopus 로고
    • The one-dimensional chemotaxis model: global existence and asymptotic profile
    • Hillen T., and Potapov A. The one-dimensional chemotaxis model: global existence and asymptotic profile. Math Methods Appl Sci 27 (2004) 1783-1801
    • (2004) Math Methods Appl Sci , vol.27 , pp. 1783-1801
    • Hillen, T.1    Potapov, A.2
  • 6
    • 0035287283 scopus 로고    scopus 로고
    • Mathematical modeling of the onset of capillary formation initating angiogenesis
    • Levine H.A., Sleeman B.D., and Hamilton M.N. Mathematical modeling of the onset of capillary formation initating angiogenesis. J Math Biol 42 (2001) 195-238
    • (2001) J Math Biol , vol.42 , pp. 195-238
    • Levine, H.A.1    Sleeman, B.D.2    Hamilton, M.N.3
  • 7
    • 65449153170 scopus 로고    scopus 로고
    • Global existence of solutions to a hyperbolic-parabolic system
    • Zhang M., and Zhu C.-J. Global existence of solutions to a hyperbolic-parabolic system. Proc Amer Math Soc 135 4 (2007) 1017-1027
    • (2007) Proc Amer Math Soc , vol.135 , Issue.4 , pp. 1017-1027
    • Zhang, M.1    Zhu, C.-J.2
  • 8
    • 65449152782 scopus 로고
    • On local and global existence theorems for a nonautonomous differential equtioan in a Banach space
    • Kato S. On local and global existence theorems for a nonautonomous differential equtioan in a Banach space. Funkcial Ekvac 19 (1976) 279-286
    • (1976) Funkcial Ekvac , vol.19 , pp. 279-286
    • Kato, S.1
  • 9
    • 0011400198 scopus 로고
    • Nonlinear Hyperbolic Equtions and Related Topics in Fluid Dynamics
    • Nishida T. Nonlinear Hyperbolic Equtions and Related Topics in Fluid Dynamics. Publ Math (1978)
    • (1978) Publ Math
    • Nishida, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.