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Volumn 131, Issue 1, 1996, Pages 79-131

Diffusion, self-diffusion and cross-diffusion

Author keywords

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Indexed keywords


EID: 0030579038     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0157     Document Type: Article
Times cited : (653)

References (32)
  • 1
    • 84972541997 scopus 로고
    • Dynamic theory of quasilinear parabolic equations-II. Reaction-diffusion systems
    • H. Amann, Dynamic theory of quasilinear parabolic equations-II. Reaction-diffusion systems, Differential Integral Equations 3 (1990), 13-75.
    • (1990) Differential Integral Equations , vol.3 , pp. 13-75
    • Amann, H.1
  • 2
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • H. Schmeisser and H. Triebel, Eds., Teubner-Texte zur Math., Stuttgart-Leipzig
    • H. Amann, Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems, in "Function Spaces, Differential Operator and Nonlinear Analysis" (H. Schmeisser and H. Triebel, Eds.), Vol. 133, pp. 9-126, Teubner-Texte zur Math., Stuttgart-Leipzig, 1993.
    • (1993) Function Spaces, Differential Operator and Nonlinear Analysis , vol.133 , pp. 9-126
    • Amann, H.1
  • 3
    • 0002921768 scopus 로고
    • Decay to uniform states in ecological interactions
    • P. N. Brown, Decay to uniform states in ecological interactions, SIAM J. Appl. Math. 38 (1980), 22-37.
    • (1980) SIAM J. Appl. Math. , vol.38 , pp. 22-37
    • Brown, P.N.1
  • 4
  • 5
    • 0000329021 scopus 로고
    • An initial-boundary value problem for a certain density-dependent diffusion system
    • P. Deuring, An initial-boundary value problem for a certain density-dependent diffusion system, Math. Z. 194 (1987), 375-396.
    • (1987) Math. Z. , vol.194 , pp. 375-396
    • Deuring, P.1
  • 8
    • 38249040922 scopus 로고
    • Large diffusivity and asymptotic behavior in parabolic systems
    • J. K. Hale, Large diffusivity and asymptotic behavior in parabolic systems, J. Math. Anal. Appl. 118 (1986), 455-466.
    • (1986) J. Math. Anal. Appl. , vol.118 , pp. 455-466
    • Hale, J.K.1
  • 9
    • 0000468175 scopus 로고
    • Limiting behaviors for competing species
    • S. B. Hsu, Limiting behaviors for competing species, SIAM J. Appl. Math. 34 (1978), 760-763.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 760-763
    • Hsu, S.B.1
  • 11
    • 84972514721 scopus 로고
    • Stability of singularly perturbed solutions to nonlinear diffusion system arising in population dynamics
    • Y. Kan-on, Stability of singularly perturbed solutions to nonlinear diffusion system arising in population dynamics, Hiroshima Math. J. 23 (1993), 509-536.
    • (1993) Hiroshima Math. J. , vol.23 , pp. 509-536
    • Kan-On, Y.1
  • 12
    • 84972539066 scopus 로고
    • Existence of non-constant stable equilibria in competition diffusion equations
    • Y. Kan-on and E. Yanagida, Existence of non-constant stable equilibria in competition diffusion equations, Hiroshima Math. J. 23 (1993), 193-221.
    • (1993) Hiroshima Math. J. , vol.23 , pp. 193-221
    • Kan-On, Y.1    Yanagida, E.2
  • 13
    • 0000297309 scopus 로고
    • Smooth solutions to a quasilinear system of diffusion equations for a certain population model
    • J. U. Kim, Smooth solutions to a quasilinear system of diffusion equations for a certain population model, Nonlinear Anal. T.M.&A. 8 (1984), 1121-1144.
    • (1984) Nonlinear Anal. T.M.&A. , vol.8 , pp. 1121-1144
    • Kim, J.U.1
  • 14
    • 0003045121 scopus 로고
    • The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex do mains
    • K. Kishimoto and H. F. Weinberger, The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex do mains, J. Differential Equations 58 (1985), 15-21.
    • (1985) J. Differential Equations , vol.58 , pp. 15-21
    • Kishimoto, K.1    Weinberger, H.F.2
  • 15
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis system
    • C. S. Lin, W. M. Ni, and I. Takagi, Large amplitude stationary solutions to a chemotaxis system, J. Differential Equations 72 (1988), 1-27.
    • (1988) J. Differential Equations , vol.72 , pp. 1-27
    • Lin, C.S.1    Ni, W.M.2    Takagi, I.3
  • 16
    • 84998211051 scopus 로고
    • Pattern formation in competition-diffusion systems in non-convex domains
    • H. Matano and M. Mimura, Pattern formation in competition-diffusion systems in non-convex domains, Publ. RIMS. Kyoto Univ. 19 (1983), 1049-1079.
    • (1983) Publ. RIMS. Kyoto Univ , vol.19 , pp. 1049-1079
    • Matano, H.1    Mimura, M.2
  • 17
    • 84972502084 scopus 로고
    • Stationary pattern of some density-dependent diffusion system with competitive dynamics
    • M. Mimura, Stationary pattern of some density-dependent diffusion system with competitive dynamics, Hiroshima Math. J. 11 (1981), 621-635.
    • (1981) Hiroshima Math. J. , vol.11 , pp. 621-635
    • Mimura, M.1
  • 18
    • 0001282108 scopus 로고
    • Effect of domain-type on the coexistence problems in a competetion-diffusion system
    • M. Mimura, S. I. Ei, and Q. Fang, Effect of domain-type on the coexistence problems in a competetion-diffusion system, J. Math. Biol. 29 (1991), 219-237.
    • (1991) J. Math. Biol. , vol.29 , pp. 219-237
    • Mimura, M.1    Ei, S.I.2    Fang, Q.3
  • 19
    • 0018830043 scopus 로고
    • Spatial segregation in competitive interaction-diffusion equations
    • M. Mimura and K. Kawasaki, Spatial segregation in competitive interaction-diffusion equations, J. Math. Biol. 9 (1980), 49-64.
    • (1980) J. Math. Biol. , vol.9 , pp. 49-64
    • Mimura, M.1    Kawasaki, K.2
  • 20
    • 84972584509 scopus 로고
    • Coexistence problem for two competing species models with density-dependent diffusion
    • M. Mimura, Y. Nishiura, A. Tesei, and T. Tsujikawa, Coexistence problem for two competing species models with density-dependent diffusion, Hiroshima Math. J. 14 (1984), 425-449
    • (1984) Hiroshima Math. J. , vol.14 , pp. 425-449
    • Mimura, M.1    Nishiura, Y.2    Tesei, A.3    Tsujikawa, T.4
  • 21
    • 21844503459 scopus 로고
    • Separatrices of competition-diffusion equations
    • H. Ninomiya Separatrices of competition-diffusion equations, Publ. RIMS. Kyoto Univ. 35 (1995), 539-467.
    • (1995) Publ. RIMS. Kyoto Univ. , vol.35 , pp. 539-467
    • Ninomiya, H.1
  • 24
    • 0001637925 scopus 로고
    • Global existence of solutions for a strongly coupled quasilinear parabolic system
    • M. A. Pozio and A. Tesei, Global existence of solutions for a strongly coupled quasilinear parabolic system, Nonlinear Anal. T.M.&A. 14 (1990), 657-689.
    • (1990) Nonlinear Anal. T.M.&A. , vol.14 , pp. 657-689
    • Pozio, M.A.1    Tesei, A.2
  • 26
    • 0001294750 scopus 로고
    • Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics
    • R. Redlinger, Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics J. Differential Equations 118 (1995), 219-252.
    • (1995) J. Differential Equations , vol.118 , pp. 219-252
    • Redlinger, R.1
  • 28
    • 38248999657 scopus 로고
    • Global solution of some quasilinear parabolic systems in population dynamics
    • A. Yagi, Global solution of some quasilinear parabolic systems in population dynamics, Nonlinear Anal. T.M.&A. 21 (1993), 603-630.
    • (1993) Nonlinear Anal. T.M.&A. , vol.21 , pp. 603-630
    • Yagi, A.1
  • 29
    • 0000489455 scopus 로고
    • Global solutions for quasilinear parabolic systems with cross-diffusion effects
    • Y. Yamada, Global solutions for quasilinear parabolic systems with cross-diffusion effects, Nonlinear Anal. T.M.&A. 24 (1995), 1395-1412.
    • (1995) Nonlinear Anal. T.M.&A. , vol.24 , pp. 1395-1412
    • Yamada, Y.1
  • 30
    • 0004326709 scopus 로고    scopus 로고
    • Existence of stationary solutions for a class of cross-diffusion systems with small parameters
    • Science Press, Beijing, to appear
    • Y. P. Wu, Existence of stationary solutions for a class of cross-diffusion systems with small parameters, Lecture Notes on Contemporary Mathematics, Science Press, Beijing, to appear.
    • Lecture Notes on Contemporary Mathematics
    • Wu, Y.P.1
  • 31
    • 0003102916 scopus 로고
    • Travelling waves for a class of cross-diffusion systems with small parameters
    • Y. P. Wu, Travelling waves for a class of cross-diffusion systems with small parameters, J. Differential Equations 123 (1995), 1-34.
    • (1995) J. Differential Equations , vol.123 , pp. 1-34
    • Wu, Y.P.1


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