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Volumn 11, Issue 8, 2001, Pages 1393-1409

Nonlocal bilinear equations. Equilibrium solutions and diffusive limit

Author keywords

Diffusive limit; Equilibrium; Integro differential equations; Nonlocal interaction; Population dynamics; Porous medium equation

Indexed keywords


EID: 0347081772     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001380     Document Type: Article
Times cited : (39)

References (24)
  • 2
    • 21844501550 scopus 로고
    • Population dynamics with stochastic interaction
    • L. Arlotti and N. Bellomo, Population dynamics with stochastic interaction, Transport Theory Statist. Phys. 24 (1995) 431-443.
    • (1995) Transport Theory Statist. Phys. , vol.24 , pp. 431-443
    • Arlotti, L.1    Bellomo, N.2
  • 3
    • 0003054549 scopus 로고    scopus 로고
    • Solution of a new class of nonlinear kinetic models of population dynamics
    • L. Arlotti and N. Bellomo, Solution of a new class of nonlinear kinetic models of population dynamics, Appl. Math. Lett. 9 (1996) 65-70.
    • (1996) Appl. Math. Lett. , vol.9 , pp. 65-70
    • Arlotti, L.1    Bellomo, N.2
  • 5
    • 0346012590 scopus 로고    scopus 로고
    • A kinetic model of tumour/immune system cellular interactions
    • to appear
    • L. Arlotti, A. Gamba and M. Lachowicz, A kinetic model of tumour/immune system cellular interactions, J. Theor. Medicine, to appear.
    • J. Theor. Medicine
    • Arlotti, L.1    Gamba, A.2    Lachowicz, M.3
  • 6
    • 0003005010 scopus 로고    scopus 로고
    • Qualitative analysis of a nonlinear integro-differential equation modelling tumor-host dynamics
    • L. Arlotti and M. Lachowicz, Qualitative analysis of a nonlinear integro-differential equation modelling tumor-host dynamics, Math. Comp. Modelling 23 (1996) 11-29.
    • (1996) Math. Comp. Modelling , vol.23 , pp. 11-29
    • Arlotti, L.1    Lachowicz, M.2
  • 7
    • 0002293879 scopus 로고
    • The porous medium equation
    • Nonlinear Diffusion Problems, eds. A. Fasano and M. Primicerio, Springer
    • D. G. Aronson, The porous medium equation, in Nonlinear Diffusion Problems, eds. A. Fasano and M. Primicerio, Lecture Notes in Math., Vol. 1224 (Springer, 1986), pp. 1-46.
    • (1986) Lecture Notes in Math. , vol.1224 , pp. 1-46
    • Aronson, D.G.1
  • 8
    • 0001236857 scopus 로고
    • The discrete coagulation-fragmentation equations: Existence, uniqueness and density conservation
    • J. M. Ball and J. Carr, The discrete coagulation-fragmentation equations: existence, uniqueness and density conservation, J. Statist. Phys. 61 (1990) 203-234.
    • (1990) J. Statist. Phys. , vol.61 , pp. 203-234
    • Ball, J.M.1    Carr, J.2
  • 10
    • 0032285146 scopus 로고    scopus 로고
    • Strategies of applied mathematics towards an immuno mathematical theory on tumors and immune system interactions
    • N. Bellomo and E. De Angelis, Strategies of applied mathematics towards an immuno mathematical theory on tumors and immune system interactions, Math. Models Methods Appl. Sci. 8 (1998) 1403-1429.
    • (1998) Math. Models Methods Appl. Sci. , vol.8 , pp. 1403-1429
    • Bellomo, N.1    De Angelis, E.2
  • 15
    • 0033467177 scopus 로고    scopus 로고
    • Tumor/immune system competition with medically induced activation/disactivation
    • B. Firmani, L. Guerri and L. Preziosi, Tumor/immune system competition with medically induced activation/disactivation, Math. Models Methods Appl. Sci. 9 (1999) 491-512.
    • (1999) Math. Models Methods Appl. Sci. , vol.9 , pp. 491-512
    • Firmani, B.1    Guerri, L.2    Preziosi, L.3
  • 16
    • 0000553997 scopus 로고
    • Interleukin mathematical model of an immune system
    • U. Foryś, Interleukin mathematical model of an immune system, J. Biol. Systems 3 (1995) 889-902.
    • (1995) J. Biol. Systems , vol.3 , pp. 889-902
    • Foryś, U.1
  • 17
    • 0013510278 scopus 로고
    • Asymptotic equivalence of the Navier-Stokes and nonlinear Boltzmann equation
    • AMS
    • H. Grad, Asymptotic equivalence of the Navier-Stokes and nonlinear Boltzmann equation, in Proc. Symp. Appl. Nonlinear PDE in Math. Phys. 17 (AMS, 1965), pp. 154-183.
    • (1965) Proc. Symp. Appl. Nonlinear PDE in Math. Phys. , vol.17 , pp. 154-183
    • Grad, H.1
  • 18
    • 0016507041 scopus 로고
    • The existence of oscillatory solutions in the Feld-Noyes model for the Belousov-Zhabotinskii reaction
    • S. Hastings and J. Murray, The existence of oscillatory solutions in the Feld-Noyes model for the Belousov-Zhabotinskii reaction, SIAM J. Appl. Math. 28 (1975) 678-688.
    • (1975) SIAM J. Appl. Math. , vol.28 , pp. 678-688
    • Hastings, S.1    Murray, J.2
  • 19
    • 0026932946 scopus 로고
    • On the distribution of dominance in a population of interacting anonymous organisms
    • E. Jäger and L. Segel, On the distribution of dominance in a population of interacting anonymous organisms, SIAM J. Appl. Math. 52 (1992) 1442-1468.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1442-1468
    • Jäger, E.1    Segel, L.2
  • 20
    • 0002552365 scopus 로고    scopus 로고
    • A nonlocal coagulation-fragmentation model
    • M. Lachowicz and D. Wrzosek, A nonlocal coagulation-fragmentation model, Appl. Math. (Warsaw) 27 (2000) 45-66.
    • (2000) Appl. Math. (Warsaw) , vol.27 , pp. 45-66
    • Lachowicz, M.1    Wrzosek, D.2
  • 22
    • 0025545719 scopus 로고
    • On a system of nonlinear Boltzmann equation of semiconductor physics
    • F. Poupaud, On a system of nonlinear Boltzmann equation of semiconductor physics, SIAM J. Appl. Math. 50 (1990) 1593-1606.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1593-1606
    • Poupaud, F.1
  • 23
    • 0000267310 scopus 로고
    • Versuch einer mathematischen Theorie der kolloiden Lösungen
    • M. Smoluchowski, Versuch einer mathematischen Theorie der kolloiden Lösungen, Z. Phys. Chem. 92 (1917) 129-168.
    • (1917) Z. Phys. Chem. , vol.92 , pp. 129-168
    • Smoluchowski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.